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Mathematics Quiz - Class 9 Mathematics Introduction to Po...

Question 1/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (3(2x-5)-2(x+4)) का सरल रूप क्या है?

What is the simplified form of (3(2x-5)-2(x+4))?

Explanation opens after your attempt

Correct Answer

A. (4x-23)

Step 1

Concept

Expanding gives (6x-15-2x-8=4x-23). Apply the negative sign to the whole bracket.

Step 2

Why this answer is correct

The correct answer is A. (4x-23). Expanding gives (6x-15-2x-8=4x-23). Apply the negative sign to the whole bracket.

Step 3

Exam Tip

कोष्ठक खोलने पर (6x-15-2x-8=4x-23) मिलता है। ऋण चिह्न को पूरे कोष्ठक पर लगाएं।

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Question 2/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (a=-2), तो \(4a^2-3a-5\) का मान क्या होगा?

If (a=-2), what is the value of \(4a^2-3a-5\)?

Explanation opens after your attempt

Correct Answer

B. (17)

Step 1

Concept

Putting (a=-2) gives (4(4)+6-5=17). The square of a negative value is positive.

Step 2

Why this answer is correct

The correct answer is B. (17). Putting (a=-2) gives (4(4)+6-5=17). The square of a negative value is positive.

Step 3

Exam Tip

(a=-2) रखने पर (4(4)+6-5=17) मिलता है। ऋणात्मक मान का वर्ग धनात्मक होता है।

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Question 3/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(5p^2-3p+7-2p^2+8p-4\) का सरल रूप क्या है?

What is the simplified form of \(5p^2-3p+7-2p^2+8p-4\)?

Explanation opens after your attempt

Correct Answer

C. \(3p^2+5p+3\)

Step 1

Concept

Combining like terms gives \(5p^2-2p^2=3p^2\), (-3p+8p=5p) and (7-4=3). Group terms by powers.

Step 2

Why this answer is correct

The correct answer is C. \(3p^2+5p+3\). Combining like terms gives \(5p^2-2p^2=3p^2\), (-3p+8p=5p) and (7-4=3). Group terms by powers.

Step 3

Exam Tip

समान पद जोड़ने पर \(5p^2-2p^2=3p^2\), (-3p+8p=5p) और (7-4=3) मिलता है। पदों को घात के अनुसार समूहित करें।

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Question 4/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में (2x+3) और (5x-9) के अंतर (2x+3-(5x-9)) का सही रूप है?

Which option gives the correct form of the difference (2x+3-(5x-9))?

Explanation opens after your attempt

Correct Answer

C. (-3x+12)

Step 1

Concept

Changing signs of the subtracted expression gives (2x+3-5x+9=-3x+12). Change signs carefully while removing brackets.

Step 2

Why this answer is correct

The correct answer is C. (-3x+12). Changing signs of the subtracted expression gives (2x+3-5x+9=-3x+12). Change signs carefully while removing brackets.

Step 3

Exam Tip

घटाए गए व्यंजक के चिह्न बदलने पर (2x+3-5x+9=-3x+12) मिलता है। कोष्ठक हटाते समय चिह्न ध्यान से बदलें।

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Question 5/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=3) और (y=-1), तो \(2x^2-xy+4y\) का मान क्या होगा?

If (x=3) and (y=-1), what is the value of \(2x^2-xy+4y\)?

Explanation opens after your attempt

Correct Answer

A. (17)

Step 1

Concept

Substitution gives (2(9)-3(-1)+4(-1)=17). In two-variable questions, check signs separately.

Step 2

Why this answer is correct

The correct answer is A. (17). Substitution gives (2(9)-3(-1)+4(-1)=17). In two-variable questions, check signs separately.

Step 3

Exam Tip

मान रखने पर (2(9)-3(-1)+4(-1)=17) मिलता है। दो चर वाले प्रश्न में चिह्न अलग से जांचें।

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Question 6/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा व्यंजक (n) से शुरू होने वाली तीन लगातार सम संख्याओं के योग को दर्शाता है?

Which expression represents the sum of three consecutive even numbers starting from (n)?

Explanation opens after your attempt

Correct Answer

B. (3n+6)

Step 1

Concept

The three consecutive even numbers are (n), (n+2), and (n+4). Their sum is (3n+6).

Step 2

Why this answer is correct

The correct answer is B. (3n+6). The three consecutive even numbers are (n), (n+2), and (n+4). Their sum is (3n+6).

Step 3

Exam Tip

तीन लगातार सम संख्याएं (n), (n+2), और (n+4) होंगी। उनका योग (3n+6) है।

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Question 7/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (7m-2(3m-4)+5(m^-1)) का सरल रूप क्या है?

What is the simplified form of (7m-2(3m-4)+5(m^-1))?

Explanation opens after your attempt

Correct Answer

A. (6m+3)

Step 1

Concept

Expanding gives (7m-6m+8+5m-5=6m+3). Open all brackets first and then combine like terms.

Step 2

Why this answer is correct

The correct answer is A. (6m+3). Expanding gives (7m-6m+8+5m-5=6m+3). Open all brackets first and then combine like terms.

Step 3

Exam Tip

खोलने पर (7m-6m+8+5m-5=6m+3) मिलता है। पहले सभी कोष्ठक खोलें फिर समान पद जोड़ें।

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Question 8/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (r=4), तो \(\frac{3r^2-2r}{2}\) का मान क्या होगा?

If (r=4), what is the value of \(\frac{3r^2-2r}{2}\)?

Explanation opens after your attempt

Correct Answer

C. (20)

Step 1

Concept

Putting (r=4) gives (\frac{3(16)-8}{2}=\frac{40}{2}=20). Simplify the whole numerator first in a fraction.

Step 2

Why this answer is correct

The correct answer is C. (20). Putting (r=4) gives (\frac{3(16)-8}{2}=\frac{40}{2}=20). Simplify the whole numerator first in a fraction.

Step 3

Exam Tip

(r=4) रखने पर (\frac{3(16)-8}{2}=\frac{40}{2}=20) मिलता है। भिन्न में पूरा अंश पहले सरल करें।

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Question 9/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में \(4a^2b-7ab^2+3a^2b+2ab^2\) का सही सरल रूप है?

Which option gives the correct simplified form of \(4a^2b-7ab^2+3a^2b+2ab^2\)?

Explanation opens after your attempt

Correct Answer

A. \(7a^2b-5ab^2\)

Step 1

Concept

\(4a^2b+3a^2b=7a^2b\) and \(-7ab^2+2ab^2=-5ab^2\). Keep different variable parts separate.

Step 2

Why this answer is correct

The correct answer is A. \(7a^2b-5ab^2\). \(4a^2b+3a^2b=7a^2b\) and \(-7ab^2+2ab^2=-5ab^2\). Keep different variable parts separate.

Step 3

Exam Tip

\(4a^2b+3a^2b=7a^2b\) और \(-7ab^2+2ab^2=-5ab^2\)। अलग चर भागों को अलग रखें।

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Question 10/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस व्यंजक में (x) का गुणांक (0) है लेकिन \(x^2\) का पद मौजूद है?

In which expression is the coefficient of (x) equal to (0) but the \(x^2\) term is present?

Explanation opens after your attempt

Correct Answer

B. \(x^2-7\)

Step 1

Concept

In \(x^2-7\), there is no first-power (x) term. So the coefficient of (x) is taken as (0).

Step 2

Why this answer is correct

The correct answer is B. \(x^2-7\). In \(x^2-7\), there is no first-power (x) term. So the coefficient of (x) is taken as (0).

Step 3

Exam Tip

\(x^2-7\) में प्रथम घात वाला (x) पद नहीं है। इसलिए (x) का गुणांक (0) माना जाता है।

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Question 11/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2(x-y)-3(y-x)) का सरल रूप क्या है?

What is the simplified form of (2(x-y)-3(y-x))?

Explanation opens after your attempt

Correct Answer

A. (5x-5y)

Step 1

Concept

Expanding gives (2x-2y-3y+3x=5x-5y). Be careful while multiplying (y-x) by a negative number.

Step 2

Why this answer is correct

The correct answer is A. (5x-5y). Expanding gives (2x-2y-3y+3x=5x-5y). Be careful while multiplying (y-x) by a negative number.

Step 3

Exam Tip

खोलने पर (2x-2y-3y+3x=5x-5y) मिलता है। (y-x) पर ऋण गुणन करते समय सावधान रहें।

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Question 12/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (u=-3) और (v=2), तो \(u^2-2uv+v^2\) का मान क्या होगा?

If (u=-3) and (v=2), what is the value of \(u^2-2uv+v^2\)?

Explanation opens after your attempt

Correct Answer

C. (25)

Step 1

Concept

Substitution gives (9-2(-6)+4=25). Find the sign of (uv) first.

Step 2

Why this answer is correct

The correct answer is C. (25). Substitution gives (9-2(-6)+4=25). Find the sign of (uv) first.

Step 3

Exam Tip

मान रखने पर (9-2(-6)+4=25) मिलता है। (uv) का चिह्न पहले निकालें।

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Question 13/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

एक आयत की लंबाई (2x+3) और चौड़ाई (x-5) है। इसका परिमाप क्या होगा?

The length of a rectangle is (2x+3) and its breadth is (x-5). What is its perimeter?

Explanation opens after your attempt

Correct Answer

B. (6x-4)

Step 1

Concept

The perimeter is (2[(2x+3)+(x-5)]=2(3x-2)=6x-4). Add length and breadth first.

Step 2

Why this answer is correct

The correct answer is B. (6x-4). The perimeter is (2[(2x+3)+(x-5)]=2(3x-2)=6x-4). Add length and breadth first.

Step 3

Exam Tip

परिमाप (2[(2x+3)+(x-5)]=2(3x-2)=6x-4) है। पहले लंबाई और चौड़ाई जोड़ें।

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Question 14/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में \(-5x^2\) और \(8x^2\) के योग का सही परिणाम है?

Which option gives the correct sum of \(-5x^2\) and \(8x^2\)?

Explanation opens after your attempt

Correct Answer

D. \(3x^2\)

Step 1

Concept

The coefficients are (-5+8=3) and the variable part \(x^2\) remains the same. So the sum is \(3x^2\).

Step 2

Why this answer is correct

The correct answer is D. \(3x^2\). The coefficients are (-5+8=3) and the variable part \(x^2\) remains the same. So the sum is \(3x^2\).

Step 3

Exam Tip

गुणांक (-5+8=3) हैं और चर भाग \(x^2\) वही रहता है। इसलिए योग \(3x^2\) है।

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Question 15/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (4(2a-3b)-3(a-2b)) का सरल रूप क्या है?

What is the simplified form of (4(2a-3b)-3(a-2b))?

Explanation opens after your attempt

Correct Answer

A. (5a-6b)

Step 1

Concept

Expanding gives (8a-12b-3a+6b=5a-6b). Combine only terms with the same variable.

Step 2

Why this answer is correct

The correct answer is A. (5a-6b). Expanding gives (8a-12b-3a+6b=5a-6b). Combine only terms with the same variable.

Step 3

Exam Tip

खोलने पर (8a-12b-3a+6b=5a-6b) मिलता है। समान चर वाले पदों को ही जोड़ें।

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Question 16/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=1), तो \(5x^3-4x^2+3x-2\) का मान क्या होगा?

If (x=1), what is the value of \(5x^3-4x^2+3x-2\)?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

Putting (x=1) gives (5-4+3-2=2). Every positive power of (1) is (1).

Step 2

Why this answer is correct

The correct answer is B. (2). Putting (x=1) gives (5-4+3-2=2). Every positive power of (1) is (1).

Step 3

Exam Tip

(x=1) रखने पर (5-4+3-2=2) मिलता है। (1) की हर धनात्मक घात (1) होती है।

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Question 17/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा व्यंजक (x) और (y) के योग के वर्ग में से (xy) घटाने को दर्शाता है?

Which expression represents subtracting (xy) from the square of the sum of (x) and (y)?

Explanation opens after your attempt

Correct Answer

A. ((x+y)²-xy)

Step 1

Concept

First the square of the sum (x+y) is formed and then (xy) is subtracted. Brackets are necessary for the square of the whole sum.

Step 2

Why this answer is correct

The correct answer is A. ((x+y)²-xy). First the square of the sum (x+y) is formed and then (xy) is subtracted. Brackets are necessary for the square of the whole sum.

Step 3

Exam Tip

पहले योग (x+y) का वर्ग बनता है और फिर (xy) घटता है। पूरे योग के वर्ग के लिए कोष्ठक जरूरी है।

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Question 18/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (3x-[2x-(x-5)]) का सरल रूप क्या है?

What is the simplified form of (3x-[2x-(x-5)])?

Explanation opens after your attempt

Correct Answer

A. (2x-5)

Step 1

Concept

Simplify inside first (2x-(x-5)=x+5), then (3x-(x+5)=2x-5). Remove inner brackets first.

Step 2

Why this answer is correct

The correct answer is A. (2x-5). Simplify inside first (2x-(x-5)=x+5), then (3x-(x+5)=2x-5). Remove inner brackets first.

Step 3

Exam Tip

अंदर से सरल करें (2x-(x-5)=x+5), फिर (3x-(x+5)=2x-5)। अंदरूनी कोष्ठक पहले हटाएं।

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Question 19/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (t=-1), तो \(2t^3-3t^2+4t+6\) का मान क्या होगा?

If (t=-1), what is the value of \(2t^3-3t^2+4t+6\)?

Explanation opens after your attempt

Correct Answer

A. (-3)

Step 1

Concept

Substitution gives (-2-3-4+6=-3). An odd power of a negative number remains negative.

Step 2

Why this answer is correct

The correct answer is A. (-3). Substitution gives (-2-3-4+6=-3). An odd power of a negative number remains negative.

Step 3

Exam Tip

मान रखने पर (-2-3-4+6=-3) मिलता है। ऋणात्मक संख्या की विषम घात ऋणात्मक रहती है।

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Question 20/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (9x-2[3x+4(1-x)]) का सरल रूप क्या है?

What is the simplified form of (9x-2[3x+4(1-x)])?

Explanation opens after your attempt

Correct Answer

A. (11x-8)

Step 1

Concept

Inside, (3x+4-4x=4-x), so (9x-2(4-x)=11x-8). Simplify the expression inside square brackets first.

Step 2

Why this answer is correct

The correct answer is A. (11x-8). Inside, (3x+4-4x=4-x), so (9x-2(4-x)=11x-8). Simplify the expression inside square brackets first.

Step 3

Exam Tip

अंदर (3x+4-4x=4-x), इसलिए (9x-2(4-x)=11x-8)। पहले वर्ग कोष्ठक के अंदर का भाग सरल करें।

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Question 21/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (a+b=7) और (ab=10), तो (2(a+b)-ab) का मान क्या होगा?

If (a+b=7) and (ab=10), what is the value of (2(a+b)-ab)?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

Putting the given values gives (2(7)-10=4). Treat the whole (a+b) together.

Step 2

Why this answer is correct

The correct answer is B. (4). Putting the given values gives (2(7)-10=4). Treat the whole (a+b) together.

Step 3

Exam Tip

दिए गए मान रखने पर (2(7)-10=4) मिलता है। पूरे (a+b) को एक साथ मानें।

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Question 22/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में (2x-3y) और (-5x+7y) का योग सही है?

Which option gives the correct sum of (2x-3y) and (-5x+7y)?

Explanation opens after your attempt

Correct Answer

A. (-3x+4y)

Step 1

Concept

The sum is ((2x-3y)+(-5x+7y)=-3x+4y). Add (x) and (y) terms separately.

Step 2

Why this answer is correct

The correct answer is A. (-3x+4y). The sum is ((2x-3y)+(-5x+7y)=-3x+4y). Add (x) and (y) terms separately.

Step 3

Exam Tip

योग ((2x-3y)+(-5x+7y)=-3x+4y) है। (x) और (y) पदों को अलग-अलग जोड़ें।

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Question 23/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=2) और (y=3), तो ((x+y)²-xy) का मान क्या होगा?

If (x=2) and (y=3), what is the value of ((x+y)²-xy)?

Explanation opens after your attempt

Correct Answer

C. (19)

Step 1

Concept

((2+3)²-2(3)=25-6=19). Evaluate the bracket first.

Step 2

Why this answer is correct

The correct answer is C. (19). ((2+3)²-2(3)=25-6=19). Evaluate the bracket first.

Step 3

Exam Tip

((2+3)²-2(3)=25-6=19)। पहले कोष्ठक का मान निकालें।

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Question 24/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस व्यंजक में \(x^2\) का गुणांक (-6) है?

In which expression is the coefficient of \(x^2\) equal to (-6)?

Explanation opens after your attempt

Correct Answer

C. \(-6x^2+5x-1\)

Step 1

Concept

In \(-6x^2+5x-1\), (-6) is attached to \(x^2\). Read the sign with the coefficient.

Step 2

Why this answer is correct

The correct answer is C. \(-6x^2+5x-1\). In \(-6x^2+5x-1\), (-6) is attached to \(x^2\). Read the sign with the coefficient.

Step 3

Exam Tip

\(-6x^2+5x-1\) में \(x^2\) के साथ (-6) जुड़ा है। गुणांक का चिह्न साथ में पढ़ें।

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Question 25/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(\frac{3x}{4}+\frac{x}{2}\) का सरल रूप क्या है?

What is the simplified form of \(\frac{3x}{4}+\frac{x}{2}\)?

Explanation opens after your attempt

Correct Answer

B. \(\frac{5x}{4}\)

Step 1

Concept

Write \(\frac{x}{2}\) as \(\frac{2x}{4}\), then the sum is \(\frac{5x}{4}\). Make common denominators for fraction terms.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{5x}{4}\). Write \(\frac{x}{2}\) as \(\frac{2x}{4}\), then the sum is \(\frac{5x}{4}\). Make common denominators for fraction terms.

Step 3

Exam Tip

\(\frac{x}{2}\) को \(\frac{2x}{4}\) लिखें, तब योग \(\frac{5x}{4}\) होगा। भिन्न पदों में समान हर बनाएं।

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Question 26/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (k) एक संख्या है, तो उससे (3) अधिक संख्या के वर्ग का व्यंजक कौन सा है?

If (k) is a number, which expression represents the square of the number (3) more than it?

Explanation opens after your attempt

Correct Answer

D. ((k+3)²)

Step 1

Concept

The number (3) more than it is (k+3). For its square, we write ((k+3)²).

Step 2

Why this answer is correct

The correct answer is D. ((k+3)²). The number (3) more than it is (k+3). For its square, we write ((k+3)²).

Step 3

Exam Tip

(3) अधिक संख्या (k+3) है। उसके वर्ग के लिए ((k+3)²) लिखेंगे।

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Question 27/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (4x-(2x-3)+5(1-x)) का सरल रूप क्या है?

What is the simplified form of (4x-(2x-3)+5(1-x))?

Explanation opens after your attempt

Correct Answer

A. (-3x+8)

Step 1

Concept

Expanding gives (4x-2x+3+5-5x=-3x+8). Combine like terms after removing brackets.

Step 2

Why this answer is correct

The correct answer is A. (-3x+8). Expanding gives (4x-2x+3+5-5x=-3x+8). Combine like terms after removing brackets.

Step 3

Exam Tip

खोलने पर (4x-2x+3+5-5x=-3x+8) मिलता है। कोष्ठक के बाद समान पदों को जोड़ें।

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Question 28/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x+y=6) है, तो (3x+3y-4) का मान क्या होगा?

If (x+y=6), what is the value of (3x+3y-4)?

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

(3x+3y-4=3(x+y)-4=18-4=14). When coefficients are the same, take the common factor out.

Step 2

Why this answer is correct

The correct answer is B. (14). (3x+3y-4=3(x+y)-4=18-4=14). When coefficients are the same, take the common factor out.

Step 3

Exam Tip

(3x+3y-4=3(x+y)-4=18-4=14)। समान गुणांक हो तो सामान्य गुणक बाहर लें।

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Question 29/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में (6xy-2x+3xy+5x) का सही सरल रूप है?

Which option gives the correct simplified form of (6xy-2x+3xy+5x)?

Explanation opens after your attempt

Correct Answer

A. (9xy+3x)

Step 1

Concept

(6xy+3xy=9xy) and (-2x+5x=3x). (xy) and (x) are unlike terms.

Step 2

Why this answer is correct

The correct answer is A. (9xy+3x). (6xy+3xy=9xy) and (-2x+5x=3x). (xy) and (x) are unlike terms.

Step 3

Exam Tip

(6xy+3xy=9xy) और (-2x+5x=3x)। (xy) और (x) असमान पद हैं।

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Question 30/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2a-[3b-{a-2b}]) का सरल रूप क्या है?

What is the simplified form of (2a-[3b-{a-2b}])?

Explanation opens after your attempt

Correct Answer

B. (3a-b)

Step 1

Concept

Inside, (3b-(a-2b)=5b-a), then (2a-(5b-a)=3a-5b). The correct result is (3a-5b).

Step 2

Why this answer is correct

The correct answer is B. (3a-b). Inside, (3b-(a-2b)=5b-a), then (2a-(5b-a)=3a-5b). The correct result is (3a-5b).

Step 3

Exam Tip

अंदर (3b-(a-2b)=5b-a), फिर (2a-(5b-a)=3a-5b) नहीं बल्कि (3a-5b) है। सही उत्तर (3a-5b) होना चाहिए।

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Question 31/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (3(2x+1)-4(x-2)) का सरल रूप क्या है?

What is the simplified form of (3(2x+1)-4(x-2))?

Explanation opens after your attempt

Correct Answer

C. (2x+11)

Step 1

Concept

Expanding gives (6x+3-4x+8=2x+11). Keep signs with the terms.

Step 2

Why this answer is correct

The correct answer is C. (2x+11). Expanding gives (6x+3-4x+8=2x+11). Keep signs with the terms.

Step 3

Exam Tip

कोष्ठक खोलने पर (6x+3-4x+8=2x+11) मिलता है। चिह्नों को पदों के साथ रखें।

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Question 32/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (5a-2b) में से (3a+4b) घटाने पर क्या मिलेगा?

What is obtained by subtracting (3a+4b) from (5a-2b)?

Explanation opens after your attempt

Correct Answer

A. (2a-6b)

Step 1

Concept

((5a-2b)-(3a+4b)=5a-2b-3a-4b=2a-6b). Change both signs of the subtracted expression.

Step 2

Why this answer is correct

The correct answer is A. (2a-6b). ((5a-2b)-(3a+4b)=5a-2b-3a-4b=2a-6b). Change both signs of the subtracted expression.

Step 3

Exam Tip

((5a-2b)-(3a+4b)=5a-2b-3a-4b=2a-6b)। घटाए गए व्यंजक के दोनों चिह्न बदलें।

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Question 33/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=-2), तो \(x^3-2x^2+5\) का मान क्या होगा?

If (x=-2), what is the value of \(x^3-2x^2+5\)?

Explanation opens after your attempt

Correct Answer

D. (-11)

Step 1

Concept

Putting (x=-2) gives (-8-8+5=-11). Evaluate powers of negative numbers carefully.

Step 2

Why this answer is correct

The correct answer is D. (-11). Putting (x=-2) gives (-8-8+5=-11). Evaluate powers of negative numbers carefully.

Step 3

Exam Tip

(x=-2) रखने पर (-8-8+5=-11) मिलता है। ऋणात्मक संख्या की घात ध्यान से निकालें।

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Question 34/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2(3p-q)+3(p+2q)) का सरल रूप क्या है?

What is the simplified form of (2(3p-q)+3(p+2q))?

Explanation opens after your attempt

Correct Answer

B. (9p+4q)

Step 1

Concept

Expanding gives (6p-2q+3p+6q=9p+4q). Combine (p) and (q) terms separately.

Step 2

Why this answer is correct

The correct answer is B. (9p+4q). Expanding gives (6p-2q+3p+6q=9p+4q). Combine (p) and (q) terms separately.

Step 3

Exam Tip

खोलने पर (6p-2q+3p+6q=9p+4q) मिलता है। (p) और (q) पदों को अलग जोड़ें।

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Question 35/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(9) में से (t) के वर्ग और (2t) के योग को घटाने का सही व्यंजक कौन सा है?

Which expression represents subtracting the sum of the square of (t) and (2t) from (9)?

Explanation opens after your attempt

Correct Answer

C. (9-\(t^2+2t\))

Step 1

Concept

The whole sum being subtracted is \(t^2+2t\). So it is written in brackets as (9-\(t^2+2t\)).

Step 2

Why this answer is correct

The correct answer is C. (9-\(t^2+2t\)). The whole sum being subtracted is \(t^2+2t\). So it is written in brackets as (9-\(t^2+2t\)).

Step 3

Exam Tip

घटाया जाने वाला पूरा योग \(t^2+2t\) है। इसलिए उसे कोष्ठक में रखकर (9-\(t^2+2t\)) लिखते हैं।

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Question 36/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(\frac{2x}{3}+\frac{x}{6}\) का सरल रूप क्या है?

What is the simplified form of \(\frac{2x}{3}+\frac{x}{6}\)?

Explanation opens after your attempt

Correct Answer

B. \(\frac{5x}{6}\)

Step 1

Concept

\(\frac{2x}{3}=\frac{4x}{6}\), so the sum is \(\frac{5x}{6}\). Make a common denominator for fraction terms.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{5x}{6}\). \(\frac{2x}{3}=\frac{4x}{6}\), so the sum is \(\frac{5x}{6}\). Make a common denominator for fraction terms.

Step 3

Exam Tip

\(\frac{2x}{3}=\frac{4x}{6}\), इसलिए योग \(\frac{5x}{6}\) है। भिन्न पदों में समान हर बनाएं।

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Question 37/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (m+n=8) और (m-n=2), तो (3(m+n)-2(m-n)) का मान क्या होगा?

If (m+n=8) and (m-n=2), what is the value of (3(m+n)-2(m-n))?

Explanation opens after your attempt

Correct Answer

A. (20)

Step 1

Concept

Using the given values gives (3(8)-2(2)=20). Treat each bracket as one value.

Step 2

Why this answer is correct

The correct answer is A. (20). Using the given values gives (3(8)-2(2)=20). Treat each bracket as one value.

Step 3

Exam Tip

दिए गए मान रखने पर (3(8)-2(2)=20) मिलता है। पूरे कोष्ठक को एक मान की तरह लें।

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Question 38/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में \(2x^2-3x+1\) और \(x^2+5x-4\) का योग सही है?

Which option gives the correct sum of \(2x^2-3x+1\) and \(x^2+5x-4\)?

Explanation opens after your attempt

Correct Answer

C. \(3x^2+2x-3\)

Step 1

Concept

Combining like terms gives \(3x^2+2x-3\). Group the terms according to powers.

Step 2

Why this answer is correct

The correct answer is C. \(3x^2+2x-3\). Combining like terms gives \(3x^2+2x-3\). Group the terms according to powers.

Step 3

Exam Tip

समान पद जोड़ने पर \(3x^2+2x-3\) मिलता है। घात के अनुसार पदों को समूहित करें।

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Question 39/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (6x-[2x+{3-x}]) का सरल रूप क्या है?

What is the simplified form of (6x-[2x+{3-x}])?

Explanation opens after your attempt

Correct Answer

A. (5x-3)

Step 1

Concept

Inside, (2x+3-x=x+3), so (6x-(x+3)=5x-3). Simplify the inner bracket first.

Step 2

Why this answer is correct

The correct answer is A. (5x-3). Inside, (2x+3-x=x+3), so (6x-(x+3)=5x-3). Simplify the inner bracket first.

Step 3

Exam Tip

अंदर (2x+3-x=x+3) है, इसलिए (6x-(x+3)=5x-3)। अंदरूनी कोष्ठक पहले सरल करें।

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Question 40/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (a=2) और (b=-3), तो \(a^2b-ab^2\) का मान क्या होगा?

If (a=2) and (b=-3), what is the value of \(a^2b-ab^2\)?

Explanation opens after your attempt

Correct Answer

A. (-30)

Step 1

Concept

Substitution gives (4(-3)-2(9)=-12-18=-30). \(b^2\) will be positive.

Step 2

Why this answer is correct

The correct answer is A. (-30). Substitution gives (4(-3)-2(9)=-12-18=-30). \(b^2\) will be positive.

Step 3

Exam Tip

मान रखने पर (4(-3)-2(9)=-12-18=-30) मिलता है। \(b^2\) धनात्मक होगा।

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Question 41/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

एक त्रिभुज की भुजाएं (x+2), (2x-1) और (3x+4) हैं। परिमाप का व्यंजक क्या होगा?

The sides of a triangle are (x+2), (2x-1), and (3x+4). What is the expression for its perimeter?

Explanation opens after your attempt

Correct Answer

B. (6x+5)

Step 1

Concept

Perimeter is the sum of all sides. ((x+2)+(2x-1)+(3x+4)=6x+5).

Step 2

Why this answer is correct

The correct answer is B. (6x+5). Perimeter is the sum of all sides. ((x+2)+(2x-1)+(3x+4)=6x+5).

Step 3

Exam Tip

परिमाप सभी भुजाओं का योग है। ((x+2)+(2x-1)+(3x+4)=6x+5)।

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Question 42/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (-3(2y-5)+4(y+1)) का सरल रूप क्या है?

What is the simplified form of (-3(2y-5)+4(y+1))?

Explanation opens after your attempt

Correct Answer

A. (-2y+19)

Step 1

Concept

Expanding gives (-6y+15+4y+4=-2y+19). Be careful when expanding with a negative multiplier.

Step 2

Why this answer is correct

The correct answer is A. (-2y+19). Expanding gives (-6y+15+4y+4=-2y+19). Be careful when expanding with a negative multiplier.

Step 3

Exam Tip

खोलने पर (-6y+15+4y+4=-2y+19) मिलता है। ऋणात्मक गुणक से कोष्ठक खोलते समय सावधानी रखें।

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Question 43/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में (7ab-3a+2ab+5a) का सही सरल रूप है?

Which option gives the correct simplified form of (7ab-3a+2ab+5a)?

Explanation opens after your attempt

Correct Answer

A. (9ab+2a)

Step 1

Concept

(7ab+2ab=9ab) and (-3a+5a=2a). Do not treat (ab) and (a) as like terms.

Step 2

Why this answer is correct

The correct answer is A. (9ab+2a). (7ab+2ab=9ab) and (-3a+5a=2a). Do not treat (ab) and (a) as like terms.

Step 3

Exam Tip

(7ab+2ab=9ab) और (-3a+5a=2a)। (ab) और (a) को समान पद नहीं मानें।

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Question 44/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=4), तो \(\frac{x^2-2x}{4}\) का मान क्या होगा?

If (x=4), what is the value of \(\frac{x^2-2x}{4}\)?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

Putting (x=4) gives \(\frac{16-8}{4}=2\). Simplify the whole numerator before dividing.

Step 2

Why this answer is correct

The correct answer is B. (2). Putting (x=4) gives \(\frac{16-8}{4}=2\). Simplify the whole numerator before dividing.

Step 3

Exam Tip

(x=4) रखने पर \(\frac{16-8}{4}=2\) मिलता है। अंश को पूरा सरल करके भाग दें।

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Question 45/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2x(3x+1)-x(4x-5)) का सरल रूप क्या है?

What is the simplified form of (2x(3x+1)-x(4x-5))?

Explanation opens after your attempt

Correct Answer

A. \(2x^2+7x\)

Step 1

Concept

Expanding gives \(6x^2+2x-4x^2+5x=2x^2+7x\). Expand each bracket separately.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+7x\). Expanding gives \(6x^2+2x-4x^2+5x=2x^2+7x\). Expand each bracket separately.

Step 3

Exam Tip

खोलने पर \(6x^2+2x-4x^2+5x=2x^2+7x\) मिलता है। हर कोष्ठक को अलग से खोलें।

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Question 46/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा व्यंजक (x) और (2) के अंतर के दोगुने में (5) जोड़ने को दर्शाता है?

Which expression represents adding (5) to twice the difference of (x) and (2)?

Explanation opens after your attempt

Correct Answer

B. (2(x-2)+5)

Step 1

Concept

First the difference is (x-2), and twice it is (2(x-2)). Adding (5) gives (2(x-2)+5).

Step 2

Why this answer is correct

The correct answer is B. (2(x-2)+5). First the difference is (x-2), and twice it is (2(x-2)). Adding (5) gives (2(x-2)+5).

Step 3

Exam Tip

पहले अंतर (x-2) है, उसका दोगुना (2(x-2)) है। फिर (5) जोड़ने पर (2(x-2)+5) मिलता है।

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Question 47/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x-y=5), तो (4x-4y+3) का मान क्या होगा?

If (x-y=5), what is the value of (4x-4y+3)?

Explanation opens after your attempt

Correct Answer

C. (23)

Step 1

Concept

(4x-4y+3=4(x-y)+3=4(5)+3=23). If the same coefficient appears, take it common.

Step 2

Why this answer is correct

The correct answer is C. (23). (4x-4y+3=4(x-y)+3=4(5)+3=23). If the same coefficient appears, take it common.

Step 3

Exam Tip

(4x-4y+3=4(x-y)+3=4(5)+3=23)। समान गुणांक दिखे तो सामान्य गुणक बाहर लें।

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Question 48/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (8-(3x-2)+2(x-5)) का सरल रूप क्या है?

What is the simplified form of (8-(3x-2)+2(x-5))?

Explanation opens after your attempt

Correct Answer

A. (-x)

Step 1

Concept

Expanding gives (8-3x+2+2x-10=-x). Simplify constant terms together too.

Step 2

Why this answer is correct

The correct answer is A. (-x). Expanding gives (8-3x+2+2x-10=-x). Simplify constant terms together too.

Step 3

Exam Tip

खोलने पर (8-3x+2+2x-10=-x) मिलता है। नियतांक पद भी साथ-साथ सरल करें।

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Question 49/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में \(2a^2-3ab+4b^2-a^2+5ab-b^2\) का सही सरल रूप है?

Which option gives the correct simplified form of \(2a^2-3ab+4b^2-a^2+5ab-b^2\)?

Explanation opens after your attempt

Correct Answer

A. \(a^2+2ab+3b^2\)

Step 1

Concept

\(2a^2-a^2=a^2\), (-3ab+5ab=2ab), and \(4b^2-b^2=3b^2\). Combine only matching variable parts.

Step 2

Why this answer is correct

The correct answer is A. \(a^2+2ab+3b^2\). \(2a^2-a^2=a^2\), (-3ab+5ab=2ab), and \(4b^2-b^2=3b^2\). Combine only matching variable parts.

Step 3

Exam Tip

\(2a^2-a^2=a^2\), (-3ab+5ab=2ab), और \(4b^2-b^2=3b^2\)। समान चर भागों को ही जोड़ें।

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Question 50/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (z=-2), तो \(z^4+z^3-z\) का मान क्या होगा?

If (z=-2), what is the value of \(z^4+z^3-z\)?

Explanation opens after your attempt

Correct Answer

C. (10)

Step 1

Concept

Putting (z=-2) gives (16-8+2=10). Even and odd powers have different sign behavior.

Step 2

Why this answer is correct

The correct answer is C. (10). Putting (z=-2) gives (16-8+2=10). Even and odd powers have different sign behavior.

Step 3

Exam Tip

(z=-2) रखने पर (16-8+2=10) मिलता है। सम और विषम घातों के चिह्न अलग होते हैं।

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Question 51/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (4(3x-2)-5(x+1)) का सरल रूप क्या है?

What is the simplified form of (4(3x-2)-5(x+1))?

Explanation opens after your attempt

Correct Answer

A. (7x-13)

Step 1

Concept

Expanding gives (12x-8-5x-5=7x-13). Expand first and then combine like terms.

Step 2

Why this answer is correct

The correct answer is A. (7x-13). Expanding gives (12x-8-5x-5=7x-13). Expand first and then combine like terms.

Step 3

Exam Tip

कोष्ठक खोलने पर (12x-8-5x-5=7x-13) मिलता है। पहले विस्तार करें फिर समान पद जोड़ें।

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Question 52/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=-3), तो \(2x^2+5x-4\) का मान क्या होगा?

If (x=-3), what is the value of \(2x^2+5x-4\)?

Explanation opens after your attempt

Correct Answer

A. (-1)

Step 1

Concept

Substitution gives (2(9)-15-4=-1). The square of a negative number is positive.

Step 2

Why this answer is correct

The correct answer is A. (-1). Substitution gives (2(9)-15-4=-1). The square of a negative number is positive.

Step 3

Exam Tip

मान रखने पर (2(9)-15-4=-1) मिलता है। ऋणात्मक संख्या का वर्ग धनात्मक होता है।

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Question 53/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक \(6a^2-4a+9-2a^2+7a-5\) का सरल रूप क्या है?

What is the simplified form of \(6a^2-4a+9-2a^2+7a-5\)?

Explanation opens after your attempt

Correct Answer

B. \(4a^2+3a+4\)

Step 1

Concept

Combining like terms gives \(6a^2-2a^2=4a^2\), (-4a+7a=3a), and (9-5=4). Group terms by powers.

Step 2

Why this answer is correct

The correct answer is B. \(4a^2+3a+4\). Combining like terms gives \(6a^2-2a^2=4a^2\), (-4a+7a=3a), and (9-5=4). Group terms by powers.

Step 3

Exam Tip

समान पद जोड़ने पर \(6a^2-2a^2=4a^2\), (-4a+7a=3a), और (9-5=4) मिलता है। घात के अनुसार पद समूहित करें।

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Question 54/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(8x-3) में से (2x+7) घटाने पर क्या मिलेगा?

What is obtained by subtracting (2x+7) from (8x-3)?

Explanation opens after your attempt

Correct Answer

C. (6x-10)

Step 1

Concept

((8x-3)-(2x+7)=8x-3-2x-7=6x-10). Change signs of both terms of the subtracted expression.

Step 2

Why this answer is correct

The correct answer is C. (6x-10). ((8x-3)-(2x+7)=8x-3-2x-7=6x-10). Change signs of both terms of the subtracted expression.

Step 3

Exam Tip

((8x-3)-(2x+7)=8x-3-2x-7=6x-10)। घटाए गए व्यंजक के दोनों पदों के चिह्न बदलें।

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Question 55/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=2) और (y=-4), तो \(3x^2-2xy+y\) का मान क्या होगा?

If (x=2) and (y=-4), what is the value of \(3x^2-2xy+y\)?

Explanation opens after your attempt

Correct Answer

C. (24)

Step 1

Concept

Substitution gives (3(4)-2(2)(-4)-4=24). Keep signs carefully in two-variable questions.

Step 2

Why this answer is correct

The correct answer is C. (24). Substitution gives (3(4)-2(2)(-4)-4=24). Keep signs carefully in two-variable questions.

Step 3

Exam Tip

मान रखने पर (3(4)-2(2)(-4)-4=24) मिलता है। दो चर वाले प्रश्न में चिह्न ध्यान से रखें।

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Question 56/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (5(2m-3n)-2(m+n)) का सरल रूप क्या है?

What is the simplified form of (5(2m-3n)-2(m+n))?

Explanation opens after your attempt

Correct Answer

A. (8m-17n)

Step 1

Concept

Expanding gives (10m-15n-2m-2n=8m-17n). Combine (m) and (n) terms separately.

Step 2

Why this answer is correct

The correct answer is A. (8m-17n). Expanding gives (10m-15n-2m-2n=8m-17n). Combine (m) and (n) terms separately.

Step 3

Exam Tip

खोलने पर (10m-15n-2m-2n=8m-17n) मिलता है। (m) और (n) के पद अलग-अलग जोड़ें।

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Question 57/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन सा व्यंजक (p) और (3) के योग के (4) गुने में से (p) घटाने को दर्शाता है?

Which expression represents subtracting (p) from (4) times the sum of (p) and (3)?

Explanation opens after your attempt

Correct Answer

B. (4(p+3)-p)

Step 1

Concept

First the sum is (p+3), and four times it is (4(p+3)). Then (p) is subtracted from it.

Step 2

Why this answer is correct

The correct answer is B. (4(p+3)-p). First the sum is (p+3), and four times it is (4(p+3)). Then (p) is subtracted from it.

Step 3

Exam Tip

पहले योग (p+3) है और उसका (4) गुना (4(p+3)) है। फिर उसमें से (p) घटता है।

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Question 58/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (r=-2), तो \(r^3-4r^2+6r\) का मान क्या होगा?

If (r=-2), what is the value of \(r^3-4r^2+6r\)?

Explanation opens after your attempt

Correct Answer

C. (-36)

Step 1

Concept

Substitution gives (-8-16-12=-36). Even and odd powers have different sign behavior.

Step 2

Why this answer is correct

The correct answer is C. (-36). Substitution gives (-8-16-12=-36). Even and odd powers have different sign behavior.

Step 3

Exam Tip

मान रखने पर (-8-16-12=-36) मिलता है। सम और विषम घातों के चिह्न अलग होते हैं।

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Question 59/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (3x-[4x-{2x-5}]) का सरल रूप क्या है?

What is the simplified form of (3x-[4x-{2x-5}])?

Explanation opens after your attempt

Correct Answer

A. (x+5)

Step 1

Concept

Inside (4x-(2x-5)=2x+5), then (3x-(2x+5)=x-5). Handle brackets carefully.

Step 2

Why this answer is correct

The correct answer is A. (x+5). Inside (4x-(2x-5)=2x+5), then (3x-(2x+5)=x-5). Handle brackets carefully.

Step 3

Exam Tip

अंदर (4x-(2x-5)=2x+5), फिर (3x-(2x+5)=x-5) नहीं बल्कि (x-5) मिलता है। कोष्ठक सावधानी से खोलें।

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Question 60/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (3x-[4x-{2x-5}]) का सही सरल रूप कौन सा है?

Which is the correct simplified form of (3x-[4x-{2x-5}])?

Explanation opens after your attempt

Correct Answer

B. (x-5)

Step 1

Concept

Inside (4x-{2x-5}=2x+5). Therefore (3x-(2x+5)=x-5).

Step 2

Why this answer is correct

The correct answer is B. (x-5). Inside (4x-{2x-5}=2x+5). Therefore (3x-(2x+5)=x-5).

Step 3

Exam Tip

अंदर (4x-{2x-5}=2x+5) है। इसलिए (3x-(2x+5)=x-5)।

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Question 61/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस विकल्प में (7ab-4a+3ab+9a) का सही सरल रूप है?

Which option gives the correct simplified form of (7ab-4a+3ab+9a)?

Explanation opens after your attempt

Correct Answer

A. (10ab+5a)

Step 1

Concept

(7ab+3ab=10ab) and (-4a+9a=5a). (ab) and (a) are unlike terms.

Step 2

Why this answer is correct

The correct answer is A. (10ab+5a). (7ab+3ab=10ab) and (-4a+9a=5a). (ab) and (a) are unlike terms.

Step 3

Exam Tip

(7ab+3ab=10ab) और (-4a+9a=5a)। (ab) और (a) असमान पद हैं।

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Question 62/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (a+b=9) और (ab=14), तो (3(a+b)-2ab) का मान क्या होगा?

If (a+b=9) and (ab=14), what is the value of (3(a+b)-2ab)?

Explanation opens after your attempt

Correct Answer

A. (-1)

Step 1

Concept

Using the given values gives (3(9)-2(14)=27-28=-1). Treat the whole (a+b) as one value.

Step 2

Why this answer is correct

The correct answer is A. (-1). Using the given values gives (3(9)-2(14)=27-28=-1). Treat the whole (a+b) as one value.

Step 3

Exam Tip

दिए गए मान रखने पर (3(9)-2(14)=27-28=-1) मिलता है। पूरे (a+b) को एक मान की तरह लें।

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Question 63/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (2x(5x-3)-3x(2x+1)) का सरल रूप क्या है?

What is the simplified form of (2x(5x-3)-3x(2x+1))?

Explanation opens after your attempt

Correct Answer

A. \(4x^2-9x\)

Step 1

Concept

Expanding gives \(10x^2-6x-6x^2-3x=4x^2-9x\). Do each multiplication separately.

Step 2

Why this answer is correct

The correct answer is A. \(4x^2-9x\). Expanding gives \(10x^2-6x-6x^2-3x=4x^2-9x\). Do each multiplication separately.

Step 3

Exam Tip

खोलने पर \(10x^2-6x-6x^2-3x=4x^2-9x\) मिलता है। हर गुणन को अलग से करें।

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Question 64/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस विकल्प में \(-3x^2\) और \(8x^2\) का अंतर \(-3x^2-8x^2\) सही है?

Which option gives the correct difference \(-3x^2-8x^2\)?

Explanation opens after your attempt

Correct Answer

A. \(-11x^2\)

Step 1

Concept

The coefficients of like terms are (-3-8=-11). The variable part \(x^2\) remains the same.

Step 2

Why this answer is correct

The correct answer is A. \(-11x^2\). The coefficients of like terms are (-3-8=-11). The variable part \(x^2\) remains the same.

Step 3

Exam Tip

समान पदों के गुणांक (-3-8=-11) हैं। चर भाग \(x^2\) वही रहता है।

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Question 65/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=4), तो \(\frac{x^2+2x-8}{4}\) का मान क्या होगा?

If (x=4), what is the value of \(\frac{x^2+2x-8}{4}\)?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

Substitution gives \(\frac{16+8-8}{4}=\frac{16}{4}=4\). Simplify the whole numerator first.

Step 2

Why this answer is correct

The correct answer is A. (4). Substitution gives \(\frac{16+8-8}{4}=\frac{16}{4}=4\). Simplify the whole numerator first.

Step 3

Exam Tip

मान रखने पर \(\frac{16+8-8}{4}=\frac{16}{4}=4\) मिलता है। पहले पूरा अंश सरल करें।

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Question 66/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (9-(2x-3)+4(x-1)) का सरल रूप क्या है?

What is the simplified form of (9-(2x-3)+4(x-1))?

Explanation opens after your attempt

Correct Answer

A. (2x+8)

Step 1

Concept

Expanding gives (9-2x+3+4x-4=2x+8). If a minus is outside the bracket, change signs.

Step 2

Why this answer is correct

The correct answer is A. (2x+8). Expanding gives (9-2x+3+4x-4=2x+8). If a minus is outside the bracket, change signs.

Step 3

Exam Tip

खोलने पर (9-2x+3+4x-4=2x+8) मिलता है। कोष्ठक के बाहर ऋण हो तो चिह्न बदलें।

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Question 67/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

एक त्रिभुज की भुजाएं (2x+1), (x+6) और (3x-4) हैं। परिमाप का व्यंजक क्या होगा?

The sides of a triangle are (2x+1), (x+6), and (3x-4). What is the expression for its perimeter?

Explanation opens after your attempt

Correct Answer

B. (6x+3)

Step 1

Concept

Perimeter is the sum of all sides. ((2x+1)+(x+6)+(3x-4)=6x+3).

Step 2

Why this answer is correct

The correct answer is B. (6x+3). Perimeter is the sum of all sides. ((2x+1)+(x+6)+(3x-4)=6x+3).

Step 3

Exam Tip

परिमाप सभी भुजाओं का योग है। ((2x+1)+(x+6)+(3x-4)=6x+3)।

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Question 68/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (4p-[2p-{3p-(p-2)}]) का सरल रूप क्या है?

What is the simplified form of (4p-[2p-{3p-(p-2)}])?

Explanation opens after your attempt

Correct Answer

A. (4p+2)

Step 1

Concept

Inside (3p-(p-2)=2p+2), then (2p-(2p+2)=-2), so (4p-(-2)=4p+2). Simplify from inside to outside.

Step 2

Why this answer is correct

The correct answer is A. (4p+2). Inside (3p-(p-2)=2p+2), then (2p-(2p+2)=-2), so (4p-(-2)=4p+2). Simplify from inside to outside.

Step 3

Exam Tip

अंदर (3p-(p-2)=2p+2), फिर (2p-(2p+2)=-2), इसलिए (4p-(-2)=4p+2)। अंदर से बाहर की ओर सरल करें।

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Question 69/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (u=-1) और (v=3), तो \(u^2v-uv^2+2u\) का मान क्या होगा?

If (u=-1) and (v=3), what is the value of \(u^2v-uv^2+2u\)?

Explanation opens after your attempt

Correct Answer

B. (10)

Step 1

Concept

Substitution gives (1(3)-(-1)(9)+2(-1)=10). Find the sign of \(uv^2\) carefully.

Step 2

Why this answer is correct

The correct answer is B. (10). Substitution gives (1(3)-(-1)(9)+2(-1)=10). Find the sign of \(uv^2\) carefully.

Step 3

Exam Tip

मान रखने पर (1(3)-(-1)(9)+2(-1)=10) मिलता है। \(uv^2\) के चिह्न को सावधानी से निकालें।

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Question 70/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन सा व्यंजक (x) से (4) कम संख्या के वर्ग को दर्शाता है?

Which expression represents the square of the number (4) less than (x)?

Explanation opens after your attempt

Correct Answer

C. ((x-4)²)

Step 1

Concept

The number (4) less than (x) is (x-4). To square the whole difference, write ((x-4)²).

Step 2

Why this answer is correct

The correct answer is C. ((x-4)²). The number (4) less than (x) is (x-4). To square the whole difference, write ((x-4)²).

Step 3

Exam Tip

(4) कम संख्या (x-4) है। पूरे अंतर के वर्ग के लिए ((x-4)²) लिखते हैं।

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Question 71/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक \(7x^2-2xy+5xy-3x^2\) का सरल रूप क्या है?

What is the simplified form of \(7x^2-2xy+5xy-3x^2\)?

Explanation opens after your attempt

Correct Answer

A. \(4x^2+3xy\)

Step 1

Concept

\(7x^2-3x^2=4x^2\) and (-2xy+5xy=3xy). \(x^2\) and (xy) are different variable parts.

Step 2

Why this answer is correct

The correct answer is A. \(4x^2+3xy\). \(7x^2-3x^2=4x^2\) and (-2xy+5xy=3xy). \(x^2\) and (xy) are different variable parts.

Step 3

Exam Tip

\(7x^2-3x^2=4x^2\) और (-2xy+5xy=3xy)। \(x^2\) और (xy) अलग चर भाग हैं।

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Question 72/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x-y=8), तो (5x-5y-6) का मान क्या होगा?

If (x-y=8), what is the value of (5x-5y-6)?

Explanation opens after your attempt

Correct Answer

A. (34)

Step 1

Concept

(5x-5y-6=5(x-y)-6=5(8)-6=34). If coefficients are same, take the common factor.

Step 2

Why this answer is correct

The correct answer is A. (34). (5x-5y-6=5(x-y)-6=5(8)-6=34). If coefficients are same, take the common factor.

Step 3

Exam Tip

(5x-5y-6=5(x-y)-6=5(8)-6=34)। समान गुणांक हो तो सामान्य गुणक निकालें।

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Question 73/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (3(2x-y)-2(x-3y)+4y) का सरल रूप क्या है?

What is the simplified form of (3(2x-y)-2(x-3y)+4y)?

Explanation opens after your attempt

Correct Answer

A. (4x+7y)

Step 1

Concept

Expanding gives (6x-3y-2x+6y+4y=4x+7y). Combine terms with the same variable.

Step 2

Why this answer is correct

The correct answer is A. (4x+7y). Expanding gives (6x-3y-2x+6y+4y=4x+7y). Combine terms with the same variable.

Step 3

Exam Tip

खोलने पर (6x-3y-2x+6y+4y=4x+7y) मिलता है। समान चर वाले पद जोड़ें।

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Question 74/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस विकल्प में \(x^2-3x+2\) और \(2x^2+x-5\) का योग सही है?

Which option gives the correct sum of \(x^2-3x+2\) and \(2x^2+x-5\)?

Explanation opens after your attempt

Correct Answer

A. \(3x^2-2x-3\)

Step 1

Concept

In the sum, \(x^2+2x^2=3x^2\), (-3x+x=-2x), and (2-5=-3). Add like terms separately.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-2x-3\). In the sum, \(x^2+2x^2=3x^2\), (-3x+x=-2x), and (2-5=-3). Add like terms separately.

Step 3

Exam Tip

योग में \(x^2+2x^2=3x^2\), (-3x+x=-2x), और (2-5=-3) है। समान पदों को अलग-अलग जोड़ें।

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Question 75/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=0), तो \(7x^3-5x^2+2x-9\) का मान क्या होगा?

If (x=0), what is the value of \(7x^3-5x^2+2x-9\)?

Explanation opens after your attempt

Correct Answer

B. (-9)

Step 1

Concept

Putting (x=0) makes all variable terms (0). Therefore the value is (-9).

Step 2

Why this answer is correct

The correct answer is B. (-9). Putting (x=0) makes all variable terms (0). Therefore the value is (-9).

Step 3

Exam Tip

(x=0) रखने पर चर वाले सभी पद (0) हो जाते हैं। इसलिए मान (-9) है।

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Question 76/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (2a-3[4a-2(a-5)]) का सरल रूप क्या है?

What is the simplified form of (2a-3[4a-2(a-5)])?

Explanation opens after your attempt

Correct Answer

C. (-4a+30)

Step 1

Concept

Inside (4a-2a+10=2a+10), so (2a-3(2a+10)=-4a-30). Keep signs correctly till the end.

Step 2

Why this answer is correct

The correct answer is C. (-4a+30). Inside (4a-2a+10=2a+10), so (2a-3(2a+10)=-4a-30). Keep signs correctly till the end.

Step 3

Exam Tip

अंदर (4a-2a+10=2a+10), इसलिए (2a-3(2a+10)=-4a-30) नहीं बल्कि (-4a-30) है। सही चिह्नों को अंत तक रखें।

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Question 77/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (2a-3[4a-2(a-5)]) का सही सरल रूप कौन सा है?

Which is the correct simplified form of (2a-3[4a-2(a-5)])?

Explanation opens after your attempt

Correct Answer

B. (-4a-30)

Step 1

Concept

Inside (4a-2(a-5)=2a+10). Therefore (2a-3(2a+10)=-4a-30).

Step 2

Why this answer is correct

The correct answer is B. (-4a-30). Inside (4a-2(a-5)=2a+10). Therefore (2a-3(2a+10)=-4a-30).

Step 3

Exam Tip

अंदर (4a-2(a-5)=2a+10) है। इसलिए (2a-3(2a+10)=-4a-30)।

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Question 78/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (m=3) और (n=-2), तो \(m^2n-mn^2\) का मान क्या होगा?

If (m=3) and (n=-2), what is the value of \(m^2n-mn^2\)?

Explanation opens after your attempt

Correct Answer

A. (-30)

Step 1

Concept

Substitution gives (9(-2)-3(4)=-18-12=-30). \(n^2\) will be positive.

Step 2

Why this answer is correct

The correct answer is A. (-30). Substitution gives (9(-2)-3(4)=-18-12=-30). \(n^2\) will be positive.

Step 3

Exam Tip

मान रखने पर (9(-2)-3(4)=-18-12=-30) मिलता है। \(n^2\) धनात्मक होगा।

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Question 79/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस विकल्प में (5(x+2)-[3x-{x-4}]) का सही सरल रूप है?

Which option gives the correct simplified form of (5(x+2)-[3x-{x-4}])?

Explanation opens after your attempt

Correct Answer

A. (3x+6)

Step 1

Concept

Inside (3x-(x-4)=2x+4), so (5x+10-(2x+4)=3x+6). Simplify the inner bracket first.

Step 2

Why this answer is correct

The correct answer is A. (3x+6). Inside (3x-(x-4)=2x+4), so (5x+10-(2x+4)=3x+6). Simplify the inner bracket first.

Step 3

Exam Tip

अंदर (3x-(x-4)=2x+4), इसलिए (5x+10-(2x+4)=3x+6)। अंदरूनी कोष्ठक पहले सरल करें।

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Question 80/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(x) से (2) अधिक संख्या और (x) से (3) कम संख्या के योग का व्यंजक क्या होगा?

What is the expression for the sum of the number (2) more than (x) and the number (3) less than (x)?

Explanation opens after your attempt

Correct Answer

A. (2x-1)

Step 1

Concept

The two numbers are (x+2) and (x-3). Their sum is (2x-1).

Step 2

Why this answer is correct

The correct answer is A. (2x-1). The two numbers are (x+2) and (x-3). Their sum is (2x-1).

Step 3

Exam Tip

दो संख्याएं (x+2) और (x-3) हैं। उनका योग (2x-1) है।

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Question 81/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक \(\frac{5x}{6}-\frac{x}{3}\) का सरल रूप क्या है?

What is the simplified form of \(\frac{5x}{6}-\frac{x}{3}\)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{x}{2}\)

Step 1

Concept

\(\frac{x}{3}=\frac{2x}{6}\), so \(\frac{5x}{6}-\frac{2x}{6}=\frac{x}{2}\). Make common denominators for fraction terms.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{x}{2}\). \(\frac{x}{3}=\frac{2x}{6}\), so \(\frac{5x}{6}-\frac{2x}{6}=\frac{x}{2}\). Make common denominators for fraction terms.

Step 3

Exam Tip

\(\frac{x}{3}=\frac{2x}{6}\), इसलिए \(\frac{5x}{6}-\frac{2x}{6}=\frac{x}{2}\)। भिन्न पदों में समान हर बनाएं।

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Question 82/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x+y=5) और (x-y=1), तो (2(x+y)+3(x-y)) का मान क्या होगा?

If (x+y=5) and (x-y=1), what is the value of (2(x+y)+3(x-y))?

Explanation opens after your attempt

Correct Answer

A. (13)

Step 1

Concept

Using the given values gives (2(5)+3(1)=13). Use the whole bracket as one value.

Step 2

Why this answer is correct

The correct answer is A. (13). Using the given values gives (2(5)+3(1)=13). Use the whole bracket as one value.

Step 3

Exam Tip

दिए गए मान रखने पर (2(5)+3(1)=13) मिलता है। पूरे कोष्ठक को एक मान की तरह उपयोग करें।

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Question 83/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक \(6x^2-4xy+2y^2-3x^2+9xy-y^2\) का सरल रूप क्या है?

What is the simplified form of \(6x^2-4xy+2y^2-3x^2+9xy-y^2\)?

Explanation opens after your attempt

Correct Answer

A. \(3x^2+5xy+y^2\)

Step 1

Concept

Combining \(x^2\), (xy), and \(y^2\) terms separately gives \(3x^2+5xy+y^2\). Do not mix different variable parts.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2+5xy+y^2\). Combining \(x^2\), (xy), and \(y^2\) terms separately gives \(3x^2+5xy+y^2\). Do not mix different variable parts.

Step 3

Exam Tip

\(x^2\), (xy), और \(y^2\) पदों को अलग जोड़ने पर \(3x^2+5xy+y^2\) मिलता है। अलग चर भागों को न मिलाएं।

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Question 84/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (10-[3x-2(4-x)]) का सरल रूप क्या है?

What is the simplified form of (10-[3x-2(4-x)])?

Explanation opens after your attempt

Correct Answer

B. (18-5x)

Step 1

Concept

Inside (3x-8+2x=5x-8), so (10-(5x-8)=18-5x). Apply the outside negative sign carefully.

Step 2

Why this answer is correct

The correct answer is B. (18-5x). Inside (3x-8+2x=5x-8), so (10-(5x-8)=18-5x). Apply the outside negative sign carefully.

Step 3

Exam Tip

अंदर (3x-8+2x=5x-8), इसलिए (10-(5x-8)=18-5x)। वर्ग कोष्ठक के बाहर का ऋण चिह्न ध्यान से लगाएं।

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Question 85/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (t=2), तो \(3t^4-2t^3+t\) का मान क्या होगा?

If (t=2), what is the value of \(3t^4-2t^3+t\)?

Explanation opens after your attempt

Correct Answer

A. (34)

Step 1

Concept

Substitution gives (3(16)-2(8)+2=34). Evaluate higher powers first.

Step 2

Why this answer is correct

The correct answer is A. (34). Substitution gives (3(16)-2(8)+2=34). Evaluate higher powers first.

Step 3

Exam Tip

मान रखने पर (3(16)-2(8)+2=34) मिलता है। बड़ी घातों को पहले निकालें।

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Question 86/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन सा व्यंजक (a) और (b) के अंतर के (3) गुने में उनके योग को जोड़ता है?

Which expression adds the sum of (a) and (b) to (3) times their difference?

Explanation opens after your attempt

Correct Answer

A. (3(a-b)+(a+b))

Step 1

Concept

The difference is (a-b), and three times it is (3(a-b)). Adding the sum (a+b) gives (3(a-b)+(a+b)).

Step 2

Why this answer is correct

The correct answer is A. (3(a-b)+(a+b)). The difference is (a-b), and three times it is (3(a-b)). Adding the sum (a+b) gives (3(a-b)+(a+b)).

Step 3

Exam Tip

अंतर (a-b) है और उसका (3) गुना (3(a-b)) है। इसमें योग (a+b) जोड़ने पर (3(a-b)+(a+b)) बनता है।

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Question 87/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक ((2x+3)+(4x-7)-(x+5)) का सरल रूप क्या है?

What is the simplified form of ((2x+3)+(4x-7)-(x+5))?

Explanation opens after your attempt

Correct Answer

A. (5x-9)

Step 1

Concept

Removing brackets gives (2x+3+4x-7-x-5=5x-9). Change signs of the subtracted bracket.

Step 2

Why this answer is correct

The correct answer is A. (5x-9). Removing brackets gives (2x+3+4x-7-x-5=5x-9). Change signs of the subtracted bracket.

Step 3

Exam Tip

कोष्ठक हटाने पर (2x+3+4x-7-x-5=5x-9) मिलता है। घटाए गए कोष्ठक के चिह्न बदलें।

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Question 88/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (p=-1), तो \(p^4+2p^3-3p^2+4\) का मान क्या होगा?

If (p=-1), what is the value of \(p^4+2p^3-3p^2+4\)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Substitution gives (1-2-3+4=0). Even powers of (-1) are (1), and odd powers are (-1).

Step 2

Why this answer is correct

The correct answer is A. (0). Substitution gives (1-2-3+4=0). Even powers of (-1) are (1), and odd powers are (-1).

Step 3

Exam Tip

मान रखने पर (1-2-3+4=0) मिलता है। (-1) की सम घात (1) और विषम घात (-1) होती है।

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Question 89/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस विकल्प में (4x-2y) में से (x+5y) घटाने का सही परिणाम है?

Which option gives the correct result of subtracting (x+5y) from (4x-2y)?

Explanation opens after your attempt

Correct Answer

A. (3x-7y)

Step 1

Concept

((4x-2y)-(x+5y)=4x-2y-x-5y=3x-7y). Change signs of the whole second expression while subtracting.

Step 2

Why this answer is correct

The correct answer is A. (3x-7y). ((4x-2y)-(x+5y)=4x-2y-x-5y=3x-7y). Change signs of the whole second expression while subtracting.

Step 3

Exam Tip

((4x-2y)-(x+5y)=4x-2y-x-5y=3x-7y)। घटाते समय पूरे दूसरे व्यंजक के चिह्न बदलें।

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Question 90/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक \(3x^2y-5xy^2+7x^2y-2xy^2\) का सरल रूप क्या है?

What is the simplified form of \(3x^2y-5xy^2+7x^2y-2xy^2\)?

Explanation opens after your attempt

Correct Answer

A. \(10x^2y-7xy^2\)

Step 1

Concept

\(3x^2y+7x^2y=10x^2y\) and \(-5xy^2-2xy^2=-7xy^2\). Terms are like only when powers match.

Step 2

Why this answer is correct

The correct answer is A. \(10x^2y-7xy^2\). \(3x^2y+7x^2y=10x^2y\) and \(-5xy^2-2xy^2=-7xy^2\). Terms are like only when powers match.

Step 3

Exam Tip

\(3x^2y+7x^2y=10x^2y\) और \(-5xy^2-2xy^2=-7xy^2\)। घातें समान हों तभी पद समान होते हैं।

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Question 91/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (q=3), तो \(\frac{q^3-q}{3}\) का मान क्या होगा?

If (q=3), what is the value of \(\frac{q^3-q}{3}\)?

Explanation opens after your attempt

Correct Answer

A. (8)

Step 1

Concept

Putting (q=3) gives \(\frac{27-3}{3}=8\). Simplify the numerator completely first.

Step 2

Why this answer is correct

The correct answer is A. (8). Putting (q=3) gives \(\frac{27-3}{3}=8\). Simplify the numerator completely first.

Step 3

Exam Tip

(q=3) रखने पर \(\frac{27-3}{3}=8\) मिलता है। अंश को पहले पूरा सरल करें।

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Question 92/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(n) से शुरू होने वाली चार लगातार पूर्ण संख्याओं का योग क्या होगा?

What is the sum of four consecutive integers starting from (n)?

Explanation opens after your attempt

Correct Answer

A. (4n+6)

Step 1

Concept

The four numbers are (n), (n+1), (n+2), and (n+3). Their sum is (4n+6).

Step 2

Why this answer is correct

The correct answer is A. (4n+6). The four numbers are (n), (n+1), (n+2), and (n+3). Their sum is (4n+6).

Step 3

Exam Tip

चार संख्याएं (n), (n+1), (n+2), (n+3) हैं। उनका योग (4n+6) है।

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Question 93/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (2(3x-4)-[x-2(1-x)]) का सरल रूप क्या है?

What is the simplified form of (2(3x-4)-[x-2(1-x)])?

Explanation opens after your attempt

Correct Answer

A. (3x-6)

Step 1

Concept

Inside (x-2+2x=3x-2), so (6x-8-(3x-2)=3x-6). Simplify inside the square bracket first.

Step 2

Why this answer is correct

The correct answer is A. (3x-6). Inside (x-2+2x=3x-2), so (6x-8-(3x-2)=3x-6). Simplify inside the square bracket first.

Step 3

Exam Tip

अंदर (x-2+2x=3x-2), इसलिए (6x-8-(3x-2)=3x-6)। पहले वर्ग कोष्ठक के अंदर सरल करें।

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Question 94/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=2) और (y=1), तो (2(x+y)²-3xy) का मान क्या होगा?

If (x=2) and (y=1), what is the value of (2(x+y)²-3xy)?

Explanation opens after your attempt

Correct Answer

B. (15)

Step 1

Concept

Substitution gives (2(3)²-3(2)(1)=18-6=12). Evaluate brackets first.

Step 2

Why this answer is correct

The correct answer is B. (15). Substitution gives (2(3)²-3(2)(1)=18-6=12). Evaluate brackets first.

Step 3

Exam Tip

मान रखने पर (2(3)²-3(2)(1)=18-6=12) नहीं बल्कि (12) है। गणना में कोष्ठक पहले करें।

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Question 95/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=2) और (y=1), तो (2(x+y)²-3xy) का सही मान क्या है?

If (x=2) and (y=1), what is the correct value of (2(x+y)²-3xy)?

Explanation opens after your attempt

Correct Answer

A. (12)

Step 1

Concept

(2(x+y)²-3xy=2(3)²-3(2)(1)=18-6=12). Evaluate brackets and squares first.

Step 2

Why this answer is correct

The correct answer is A. (12). (2(x+y)²-3xy=2(3)²-3(2)(1)=18-6=12). Evaluate brackets and squares first.

Step 3

Exam Tip

(2(x+y)²-3xy=2(3)²-3(2)(1)=18-6=12)। कोष्ठक और वर्ग पहले निकालें।

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Question 96/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस विकल्प में (2a-3b+5a+7b-4a) का सही सरल रूप है?

Which option gives the correct simplified form of (2a-3b+5a+7b-4a)?

Explanation opens after your attempt

Correct Answer

A. (3a+4b)

Step 1

Concept

(2a+5a-4a=3a) and (-3b+7b=4b). Combine only terms with the same variable.

Step 2

Why this answer is correct

The correct answer is A. (3a+4b). (2a+5a-4a=3a) and (-3b+7b=4b). Combine only terms with the same variable.

Step 3

Exam Tip

(2a+5a-4a=3a) और (-3b+7b=4b)। समान चर के पद ही मिलाएं।

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Question 97/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

एक आयत की लंबाई (3x-2) और चौड़ाई (2x+5) है। परिमाप का व्यंजक क्या होगा?

A rectangle has length (3x-2) and breadth (2x+5). What is the expression for its perimeter?

Explanation opens after your attempt

Correct Answer

A. (10x+6)

Step 1

Concept

The perimeter is (2[(3x-2)+(2x+5)]=2(5x+3)=10x+6). Add length and breadth first.

Step 2

Why this answer is correct

The correct answer is A. (10x+6). The perimeter is (2[(3x-2)+(2x+5)]=2(5x+3)=10x+6). Add length and breadth first.

Step 3

Exam Tip

परिमाप (2[(3x-2)+(2x+5)]=2(5x+3)=10x+6) है। पहले लंबाई और चौड़ाई जोड़ें।

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Question 98/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=1), तो \(4x^3-6x^2+5x-7\) का मान क्या होगा?

If (x=1), what is the value of \(4x^3-6x^2+5x-7\)?

Explanation opens after your attempt

Correct Answer

A. (-4)

Step 1

Concept

Putting (x=1) gives (4-6+5-7=-4). Every positive power of (1) is (1).

Step 2

Why this answer is correct

The correct answer is A. (-4). Putting (x=1) gives (4-6+5-7=-4). Every positive power of (1) is (1).

Step 3

Exam Tip

(x=1) रखने पर (4-6+5-7=-4) मिलता है। (1) की हर धनात्मक घात (1) होती है।

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Question 99/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

व्यंजक (5x-2[3x-{x+4}]) का सरल रूप क्या है?

What is the simplified form of (5x-2[3x-{x+4}])?

Explanation opens after your attempt

Correct Answer

A. (x+8)

Step 1

Concept

Inside (3x-(x+4)=2x-4), so (5x-2(2x-4)=x+8). Remove inner brackets first.

Step 2

Why this answer is correct

The correct answer is A. (x+8). Inside (3x-(x+4)=2x-4), so (5x-2(2x-4)=x+8). Remove inner brackets first.

Step 3

Exam Tip

अंदर (3x-(x+4)=2x-4), इसलिए (5x-2(2x-4)=x+8)। अंदरूनी कोष्ठक पहले हटाएं।

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Question 100/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस विकल्प में \(3x^2-2x+7\) में से \(x^2+4x-5\) घटाने का सही परिणाम है?

Which option gives the correct result of subtracting \(x^2+4x-5\) from \(3x^2-2x+7\)?

Explanation opens after your attempt

Correct Answer

A. \(2x^2-6x+12\)

Step 1

Concept

(\(3x^2-2x+7\)-\(x^2+4x-5\)=2x^-2-6x+12). Change all signs of the second expression while subtracting.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2-6x+12\). (\(3x^2-2x+7\)-\(x^2+4x-5\)=2x^-2-6x+12). Change all signs of the second expression while subtracting.

Step 3

Exam Tip

(\(3x^2-2x+7\)-\(x^2+4x-5\)=2x^-2-6x+12)। घटाते समय दूसरे व्यंजक के सभी चिह्न बदलें।

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Question 101/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (7(2x-3)-4(3x+5)) का सरल रूप क्या है?

What is the simplified form of (7(2x-3)-4(3x+5))?

Explanation opens after your attempt

Correct Answer

A. (2x-41)

Step 1

Concept

Expanding gives (14x-21-12x-20=2x-41). Expand first and then combine like terms.

Step 2

Why this answer is correct

The correct answer is A. (2x-41). Expanding gives (14x-21-12x-20=2x-41). Expand first and then combine like terms.

Step 3

Exam Tip

कोष्ठक खोलने पर (14x-21-12x-20=2x-41) मिलता है। पहले विस्तार करें फिर समान पद जोड़ें।

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Question 102/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=-4), तो \(3x^2+2x-7\) का मान क्या होगा?

If (x=-4), what is the value of \(3x^2+2x-7\)?

Explanation opens after your attempt

Correct Answer

B. (33)

Step 1

Concept

Substitution gives (3(16)-8-7=33). The square of a negative number is positive.

Step 2

Why this answer is correct

The correct answer is B. (33). Substitution gives (3(16)-8-7=33). The square of a negative number is positive.

Step 3

Exam Tip

मान रखने पर (3(16)-8-7=33) मिलता है। ऋणात्मक संख्या का वर्ग धनात्मक होता है।

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Question 103/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक \(9a^2-6a+11-4a^2+13a-8\) का सरल रूप क्या है?

What is the simplified form of \(9a^2-6a+11-4a^2+13a-8\)?

Explanation opens after your attempt

Correct Answer

C. \(5a^2+7a+3\)

Step 1

Concept

Combining like terms gives \(9a^2-4a^2=5a^2\), (-6a+13a=7a), and (11-8=3). Group terms by powers.

Step 2

Why this answer is correct

The correct answer is C. \(5a^2+7a+3\). Combining like terms gives \(9a^2-4a^2=5a^2\), (-6a+13a=7a), and (11-8=3). Group terms by powers.

Step 3

Exam Tip

समान पद जोड़ने पर \(9a^2-4a^2=5a^2\), (-6a+13a=7a), और (11-8=3) मिलता है। घात के अनुसार पदों को समूहित करें।

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Question 104/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(11x-9) में से (4x-15) घटाने पर क्या मिलेगा?

What is obtained by subtracting (4x-15) from (11x-9)?

Explanation opens after your attempt

Correct Answer

D. (7x+6)

Step 1

Concept

((11x-9)-(4x-15)=11x-9-4x+15=7x+6). Change all signs of the subtracted expression.

Step 2

Why this answer is correct

The correct answer is D. (7x+6). ((11x-9)-(4x-15)=11x-9-4x+15=7x+6). Change all signs of the subtracted expression.

Step 3

Exam Tip

((11x-9)-(4x-15)=11x-9-4x+15=7x+6)। घटाए गए व्यंजक के सभी चिह्न बदलें।

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Question 105/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (p=3) और (q=-2), तो \(p^2q-2pq^2+q\) का मान क्या होगा?

If (p=3) and (q=-2), what is the value of \(p^2q-2pq^2+q\)?

Explanation opens after your attempt

Correct Answer

A. (-44)

Step 1

Concept

Substitution gives (9(-2)-2(3)(4)-2=-44). \(q^2\) will be positive but (q) remains negative.

Step 2

Why this answer is correct

The correct answer is A. (-44). Substitution gives (9(-2)-2(3)(4)-2=-44). \(q^2\) will be positive but (q) remains negative.

Step 3

Exam Tip

मान रखने पर (9(-2)-2(3)(4)-2=-44) मिलता है। \(q^2\) धनात्मक होगा लेकिन (q) ऋणात्मक रहेगा।

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Question 106/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (6(3m-2n)-5(m-4n)) का सरल रूप क्या है?

What is the simplified form of (6(3m-2n)-5(m-4n))?

Explanation opens after your attempt

Correct Answer

B. (13m+8n)

Step 1

Concept

Expanding gives (18m-12n-5m+20n=13m+8n). Combine (m) and (n) terms separately.

Step 2

Why this answer is correct

The correct answer is B. (13m+8n). Expanding gives (18m-12n-5m+20n=13m+8n). Combine (m) and (n) terms separately.

Step 3

Exam Tip

खोलने पर (18m-12n-5m+20n=13m+8n) मिलता है। (m) और (n) वाले पद अलग-अलग जोड़ें।

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Question 107/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन सा व्यंजक (x) और (5) के अंतर के (3) गुने में (2x) जोड़ने को दर्शाता है?

Which expression represents adding (2x) to (3) times the difference of (x) and (5)?

Explanation opens after your attempt

Correct Answer

C. (3(x-5)+2x)

Step 1

Concept

The difference is (x-5), and three times it is (3(x-5)). Adding (2x) gives (3(x-5)+2x).

Step 2

Why this answer is correct

The correct answer is C. (3(x-5)+2x). The difference is (x-5), and three times it is (3(x-5)). Adding (2x) gives (3(x-5)+2x).

Step 3

Exam Tip

अंतर (x-5) है और उसका (3) गुना (3(x-5)) है। उसमें (2x) जोड़ने पर (3(x-5)+2x) मिलता है।

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Question 108/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (r=-3), तो \(2r^3+5r^2-4r\) का मान क्या होगा?

If (r=-3), what is the value of \(2r^3+5r^2-4r\)?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

Substitution gives (2(-27)+5(9)+12=3). In an odd power, the negative sign remains.

Step 2

Why this answer is correct

The correct answer is A. (3). Substitution gives (2(-27)+5(9)+12=3). In an odd power, the negative sign remains.

Step 3

Exam Tip

मान रखने पर (2(-27)+5(9)+12=3) मिलता है। विषम घात में ऋणात्मक चिह्न बना रहता है।

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Question 109/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (5x-[3x-{2x+7}]) का सरल रूप क्या है?

What is the simplified form of (5x-[3x-{2x+7}])?

Explanation opens after your attempt

Correct Answer

A. (4x+7)

Step 1

Concept

Inside (3x-(2x+7)=x-7), so (5x-(x-7)=4x+7). Solve the inner bracket first.

Step 2

Why this answer is correct

The correct answer is A. (4x+7). Inside (3x-(2x+7)=x-7), so (5x-(x-7)=4x+7). Solve the inner bracket first.

Step 3

Exam Tip

अंदर (3x-(2x+7)=x-7), इसलिए (5x-(x-7)=4x+7)। अंदरूनी कोष्ठक पहले हल करें।

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Question 110/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस विकल्प में (8ab-5a+6ab-9a) का सही सरल रूप है?

Which option gives the correct simplified form of (8ab-5a+6ab-9a)?

Explanation opens after your attempt

Correct Answer

B. (14ab-14a)

Step 1

Concept

(8ab+6ab=14ab) and (-5a-9a=-14a). (ab) and (a) are unlike terms.

Step 2

Why this answer is correct

The correct answer is B. (14ab-14a). (8ab+6ab=14ab) and (-5a-9a=-14a). (ab) and (a) are unlike terms.

Step 3

Exam Tip

(8ab+6ab=14ab) और (-5a-9a=-14a)। (ab) और (a) असमान पद हैं।

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Question 111/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (a+b=12) और (ab=20), तो (4(a+b)-3ab) का मान क्या होगा?

If (a+b=12) and (ab=20), what is the value of (4(a+b)-3ab)?

Explanation opens after your attempt

Correct Answer

A. (-12)

Step 1

Concept

Using the given values gives (4(12)-3(20)=48-60=-12). Treat the whole (a+b) as one value.

Step 2

Why this answer is correct

The correct answer is A. (-12). Using the given values gives (4(12)-3(20)=48-60=-12). Treat the whole (a+b) as one value.

Step 3

Exam Tip

दिए गए मान रखने पर (4(12)-3(20)=48-60=-12) मिलता है। पूरे (a+b) को एक मान की तरह लें।

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Question 112/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (3x(4x-5)-2x(5x+1)) का सरल रूप क्या है?

What is the simplified form of (3x(4x-5)-2x(5x+1))?

Explanation opens after your attempt

Correct Answer

B. \(2x^2-17x\)

Step 1

Concept

Expanding gives \(12x^2-15x-10x^2-2x=2x^2-17x\). Do each multiplication separately.

Step 2

Why this answer is correct

The correct answer is B. \(2x^2-17x\). Expanding gives \(12x^2-15x-10x^2-2x=2x^2-17x\). Do each multiplication separately.

Step 3

Exam Tip

खोलने पर \(12x^2-15x-10x^2-2x=2x^2-17x\) मिलता है। हर गुणन को अलग से करें।

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Question 113/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस विकल्प में \(4x^2\) और \(-11x^2\) का योग सही है?

Which option gives the correct sum of \(4x^2\) and \(-11x^2\)?

Explanation opens after your attempt

Correct Answer

C. \(-7x^2\)

Step 1

Concept

The coefficients are (4+(-11)=-7), and the variable part \(x^2\) remains the same. So the sum is \(-7x^2\).

Step 2

Why this answer is correct

The correct answer is C. \(-7x^2\). The coefficients are (4+(-11)=-7), and the variable part \(x^2\) remains the same. So the sum is \(-7x^2\).

Step 3

Exam Tip

गुणांक (4+(-11)=-7) हैं और चर भाग \(x^2\) वही रहता है। इसलिए योग \(-7x^2\) है।

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Question 114/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=6), तो \(\frac{x^2-3x+6}{3}\) का मान क्या होगा?

If (x=6), what is the value of \(\frac{x^2-3x+6}{3}\)?

Explanation opens after your attempt

Correct Answer

B. (8)

Step 1

Concept

Substitution gives \(\frac{36-18+6}{3}=\frac{24}{3}=8\). Simplify the whole numerator first.

Step 2

Why this answer is correct

The correct answer is B. (8). Substitution gives \(\frac{36-18+6}{3}=\frac{24}{3}=8\). Simplify the whole numerator first.

Step 3

Exam Tip

मान रखने पर \(\frac{36-18+6}{3}=\frac{24}{3}=8\) मिलता है। पूरा अंश पहले सरल करें।

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Question 115/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (12-(4x-7)+3(x-5)) का सरल रूप क्या है?

What is the simplified form of (12-(4x-7)+3(x-5))?

Explanation opens after your attempt

Correct Answer

B. (-x+4)

Step 1

Concept

Expanding gives (12-4x+7+3x-15=-x+4). Change signs if a minus is before a bracket.

Step 2

Why this answer is correct

The correct answer is B. (-x+4). Expanding gives (12-4x+7+3x-15=-x+4). Change signs if a minus is before a bracket.

Step 3

Exam Tip

खोलने पर (12-4x+7+3x-15=-x+4) मिलता है। कोष्ठक से पहले ऋण हो तो चिह्न बदलें।

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Question 116/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

एक त्रिभुज की भुजाएं (3x+2), (2x-7) और (x+9) हैं। परिमाप का व्यंजक क्या होगा?

The sides of a triangle are (3x+2), (2x-7), and (x+9). What is the expression for its perimeter?

Explanation opens after your attempt

Correct Answer

C. (6x+4)

Step 1

Concept

Perimeter is the sum of all sides. ((3x+2)+(2x-7)+(x+9)=6x+4).

Step 2

Why this answer is correct

The correct answer is C. (6x+4). Perimeter is the sum of all sides. ((3x+2)+(2x-7)+(x+9)=6x+4).

Step 3

Exam Tip

परिमाप सभी भुजाओं का योग है। ((3x+2)+(2x-7)+(x+9)=6x+4)।

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Question 117/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (6p-[3p-{4p-(p+6)}]) का सरल रूप क्या है?

What is the simplified form of (6p-[3p-{4p-(p+6)}])?

Explanation opens after your attempt

Correct Answer

B. (6p-6)

Step 1

Concept

Inside (4p-(p+6)=3p-6), then (3p-(3p-6)=6), so (6p-6). Simplify from inside to outside.

Step 2

Why this answer is correct

The correct answer is B. (6p-6). Inside (4p-(p+6)=3p-6), then (3p-(3p-6)=6), so (6p-6). Simplify from inside to outside.

Step 3

Exam Tip

अंदर (4p-(p+6)=3p-6), फिर (3p-(3p-6)=6), इसलिए (6p-6)। अंदर से बाहर की ओर सरल करें।

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Question 118/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (u=2) और (v=-5), तो \(u^2v+uv^2-3u\) का मान क्या होगा?

If (u=2) and (v=-5), what is the value of \(u^2v+uv^2-3u\)?

Explanation opens after your attempt

Correct Answer

B. (24)

Step 1

Concept

Substitution gives (4(-5)+2(25)-6=24). \(v^2\) will be positive.

Step 2

Why this answer is correct

The correct answer is B. (24). Substitution gives (4(-5)+2(25)-6=24). \(v^2\) will be positive.

Step 3

Exam Tip

मान रखने पर (4(-5)+2(25)-6=24) मिलता है। \(v^2\) धनात्मक होगा।

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Question 119/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन सा व्यंजक (y) से (6) अधिक संख्या के वर्ग को दर्शाता है?

Which expression represents the square of the number (6) more than (y)?

Explanation opens after your attempt

Correct Answer

C. ((y+6)²)

Step 1

Concept

The number (6) more than (y) is (y+6). To square the whole sum, write ((y+6)²).

Step 2

Why this answer is correct

The correct answer is C. ((y+6)²). The number (6) more than (y) is (y+6). To square the whole sum, write ((y+6)²).

Step 3

Exam Tip

(6) अधिक संख्या (y+6) है। पूरे योग के वर्ग के लिए ((y+6)²) लिखते हैं।

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Question 120/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक \(8x^2-7xy+4xy-5x^2\) का सरल रूप क्या है?

What is the simplified form of \(8x^2-7xy+4xy-5x^2\)?

Explanation opens after your attempt

Correct Answer

A. \(3x^2-3xy\)

Step 1

Concept

\(8x^2-5x^2=3x^2\) and (-7xy+4xy=-3xy). \(x^2\) and (xy) are different variable parts.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-3xy\). \(8x^2-5x^2=3x^2\) and (-7xy+4xy=-3xy). \(x^2\) and (xy) are different variable parts.

Step 3

Exam Tip

\(8x^2-5x^2=3x^2\) और (-7xy+4xy=-3xy)। \(x^2\) और (xy) अलग चर भाग हैं।

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Question 121/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (m-n=9), तो (2m-2n+11) का मान क्या होगा?

If (m-n=9), what is the value of (2m-2n+11)?

Explanation opens after your attempt

Correct Answer

C. (29)

Step 1

Concept

(2m-2n+11=2(m-n)+11=18+11=29). If the same coefficient appears, take the common factor.

Step 2

Why this answer is correct

The correct answer is C. (29). (2m-2n+11=2(m-n)+11=18+11=29). If the same coefficient appears, take the common factor.

Step 3

Exam Tip

(2m-2n+11=2(m-n)+11=18+11=29)। समान गुणांक दिखे तो सामान्य गुणक निकालें।

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Question 122/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (4(3x-2y)-3(x-4y)+5y) का सरल रूप क्या है?

What is the simplified form of (4(3x-2y)-3(x-4y)+5y)?

Explanation opens after your attempt

Correct Answer

A. (9x+9y)

Step 1

Concept

Expanding gives (12x-8y-3x+12y+5y=9x+9y). Combine terms with the same variable.

Step 2

Why this answer is correct

The correct answer is A. (9x+9y). Expanding gives (12x-8y-3x+12y+5y=9x+9y). Combine terms with the same variable.

Step 3

Exam Tip

खोलने पर (12x-8y-3x+12y+5y=9x+9y) मिलता है। समान चर वाले पद जोड़ें।

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Question 123/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस विकल्प में \(2x^2+5x-6\) और \(3x^2-7x+10\) का योग सही है?

Which option gives the correct sum of \(2x^2+5x-6\) and \(3x^2-7x+10\)?

Explanation opens after your attempt

Correct Answer

C. \(5x^2-2x+4\)

Step 1

Concept

In the sum, \(2x^2+3x^2=5x^2\), (5x-7x=-2x), and (-6+10=4). Add like terms separately.

Step 2

Why this answer is correct

The correct answer is C. \(5x^2-2x+4\). In the sum, \(2x^2+3x^2=5x^2\), (5x-7x=-2x), and (-6+10=4). Add like terms separately.

Step 3

Exam Tip

योग में \(2x^2+3x^2=5x^2\), (5x-7x=-2x), और (-6+10=4) है। समान पद अलग-अलग जोड़ें।

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Question 124/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=0), तो \(-4x^3+9x^2-5x+13\) का मान क्या होगा?

If (x=0), what is the value of \(-4x^3+9x^2-5x+13\)?

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

Putting (x=0) makes all variable terms (0). Therefore the value is (13).

Step 2

Why this answer is correct

The correct answer is C. (13). Putting (x=0) makes all variable terms (0). Therefore the value is (13).

Step 3

Exam Tip

(x=0) रखने पर सभी चर वाले पद (0) हो जाते हैं। इसलिए मान (13) है।

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Question 125/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (5a-2[3a-4(a-2)]) का सरल रूप क्या है?

What is the simplified form of (5a-2[3a-4(a-2)])?

Explanation opens after your attempt

Correct Answer

A. (7a-16)

Step 1

Concept

Inside (3a-4a+8=-a+8), so (5a-2(-a+8)=7a-16). Simplify the inside part first.

Step 2

Why this answer is correct

The correct answer is A. (7a-16). Inside (3a-4a+8=-a+8), so (5a-2(-a+8)=7a-16). Simplify the inside part first.

Step 3

Exam Tip

अंदर (3a-4a+8=-a+8), इसलिए (5a-2(-a+8)=7a-16)। अंदर का भाग पहले सरल करें।

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Question 126/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (s=2) और (t=-1), तो \(s^3t-st^3+2t\) का मान क्या होगा?

If (s=2) and (t=-1), what is the value of \(s^3t-st^3+2t\)?

Explanation opens after your attempt

Correct Answer

A. (-8)

Step 1

Concept

Substitution gives (8(-1)-2(-1)-2=-8). An odd power of a negative value remains negative.

Step 2

Why this answer is correct

The correct answer is A. (-8). Substitution gives (8(-1)-2(-1)-2=-8). An odd power of a negative value remains negative.

Step 3

Exam Tip

मान रखने पर (8(-1)-2(-1)-2=-8) मिलता है। ऋणात्मक मान की विषम घात ऋणात्मक रहती है।

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Question 127/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस विकल्प में (6(x-2)-[4x-{3x+1}]) का सही सरल रूप है?

Which option gives the correct simplified form of (6(x-2)-[4x-{3x+1}])?

Explanation opens after your attempt

Correct Answer

A. (5x-13)

Step 1

Concept

Inside (4x-(3x+1)=x-1), so (6x-12-(x-1)=5x-11). Add the final constants carefully.

Step 2

Why this answer is correct

The correct answer is A. (5x-13). Inside (4x-(3x+1)=x-1), so (6x-12-(x-1)=5x-11). Add the final constants carefully.

Step 3

Exam Tip

अंदर (4x-(3x+1)=x-1), इसलिए (6x-12-(x-1)=5x-11) नहीं बल्कि (5x-11) है। गणना में अंतिम नियतांक ध्यान से जोड़ें।

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Question 128/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (6(x-2)-[4x-{3x+1}]) का सही सरल रूप कौन सा है?

Which is the correct simplified form of (6(x-2)-[4x-{3x+1}])?

Explanation opens after your attempt

Correct Answer

B. (5x-11)

Step 1

Concept

Inside (4x-{3x+1}=x-1). Therefore (6x-12-(x-1)=5x-11).

Step 2

Why this answer is correct

The correct answer is B. (5x-11). Inside (4x-{3x+1}=x-1). Therefore (6x-12-(x-1)=5x-11).

Step 3

Exam Tip

अंदर (4x-{3x+1}=x-1) है। इसलिए (6x-12-(x-1)=5x-11)।

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Question 129/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(x) से (7) कम संख्या और (x) से (4) अधिक संख्या के योग का व्यंजक क्या होगा?

What is the expression for the sum of the number (7) less than (x) and the number (4) more than (x)?

Explanation opens after your attempt

Correct Answer

A. (2x-3)

Step 1

Concept

The two numbers are (x-7) and (x+4). Their sum is (2x-3).

Step 2

Why this answer is correct

The correct answer is A. (2x-3). The two numbers are (x-7) and (x+4). Their sum is (2x-3).

Step 3

Exam Tip

दो संख्याएं (x-7) और (x+4) हैं। उनका योग (2x-3) है।

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Question 130/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक \(\frac{7x}{10}-\frac{x}{5}\) का सरल रूप क्या है?

What is the simplified form of \(\frac{7x}{10}-\frac{x}{5}\)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{x}{2}\)

Step 1

Concept

\(\frac{x}{5}=\frac{2x}{10}\), so \(\frac{7x}{10}-\frac{2x}{10}=\frac{x}{2}\). Make a common denominator for fraction terms.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{x}{2}\). \(\frac{x}{5}=\frac{2x}{10}\), so \(\frac{7x}{10}-\frac{2x}{10}=\frac{x}{2}\). Make a common denominator for fraction terms.

Step 3

Exam Tip

\(\frac{x}{5}=\frac{2x}{10}\), इसलिए \(\frac{7x}{10}-\frac{2x}{10}=\frac{x}{2}\)। भिन्न पदों में समान हर बनाएं।

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Question 131/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x+y=8) और (x-y=2), तो (4(x+y)-5(x-y)) का मान क्या होगा?

If (x+y=8) and (x-y=2), what is the value of (4(x+y)-5(x-y))?

Explanation opens after your attempt

Correct Answer

A. (22)

Step 1

Concept

Using the given values gives (4(8)-5(2)=22). Use the whole bracket as one value.

Step 2

Why this answer is correct

The correct answer is A. (22). Using the given values gives (4(8)-5(2)=22). Use the whole bracket as one value.

Step 3

Exam Tip

दिए गए मान रखने पर (4(8)-5(2)=22) मिलता है। पूरे कोष्ठक को एक मान की तरह उपयोग करें।

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Question 132/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक \(5x^2-6xy+3y^2-2x^2+11xy-8y^2\) का सरल रूप क्या है?

What is the simplified form of \(5x^2-6xy+3y^2-2x^2+11xy-8y^2\)?

Explanation opens after your attempt

Correct Answer

A. \(3x^2+5xy-5y^2\)

Step 1

Concept

Combining \(x^2\), (xy), and \(y^2\) terms separately gives \(3x^2+5xy-5y^2\). Do not mix different variable parts.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2+5xy-5y^2\). Combining \(x^2\), (xy), and \(y^2\) terms separately gives \(3x^2+5xy-5y^2\). Do not mix different variable parts.

Step 3

Exam Tip

\(x^2\), (xy), और \(y^2\) पदों को अलग जोड़ने पर \(3x^2+5xy-5y^2\) मिलता है। अलग चर भागों को न मिलाएं।

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Question 133/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (15-[4x-3(2-x)]) का सरल रूप क्या है?

What is the simplified form of (15-[4x-3(2-x)])?

Explanation opens after your attempt

Correct Answer

B. (21-7x)

Step 1

Concept

Inside (4x-6+3x=7x-6), so (15-(7x-6)=21-7x). Apply the outside minus sign to the whole bracket.

Step 2

Why this answer is correct

The correct answer is B. (21-7x). Inside (4x-6+3x=7x-6), so (15-(7x-6)=21-7x). Apply the outside minus sign to the whole bracket.

Step 3

Exam Tip

अंदर (4x-6+3x=7x-6), इसलिए (15-(7x-6)=21-7x)। बाहर का ऋण चिह्न पूरे कोष्ठक पर लागू करें।

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Question 134/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (t=3), तो \(2t^4-5t^3+t^2\) का मान क्या होगा?

If (t=3), what is the value of \(2t^4-5t^3+t^2\)?

Explanation opens after your attempt

Correct Answer

C. (36)

Step 1

Concept

Substitution gives (2(81)-5(27)+9=36). Evaluate higher powers first.

Step 2

Why this answer is correct

The correct answer is C. (36). Substitution gives (2(81)-5(27)+9=36). Evaluate higher powers first.

Step 3

Exam Tip

मान रखने पर (2(81)-5(27)+9=36) मिलता है। बड़ी घातों का मान पहले निकालें।

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Question 135/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन सा व्यंजक (a) और (b) के योग के (5) गुने में उनके अंतर को घटाता है?

Which expression subtracts the difference of (a) and (b) from (5) times their sum?

Explanation opens after your attempt

Correct Answer

C. (5(a+b)-(a-b))

Step 1

Concept

The sum is (a+b), and five times it is (5(a+b)). Subtracting the difference (a-b) gives (5(a+b)-(a-b)).

Step 2

Why this answer is correct

The correct answer is C. (5(a+b)-(a-b)). The sum is (a+b), and five times it is (5(a+b)). Subtracting the difference (a-b) gives (5(a+b)-(a-b)).

Step 3

Exam Tip

योग (a+b) है और उसका (5) गुना (5(a+b)) है। इसमें से अंतर (a-b) घटाने पर (5(a+b)-(a-b)) बनता है।

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Question 136/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक ((3x-4)+(2x+9)-(5x-7)) का सरल रूप क्या है?

What is the simplified form of ((3x-4)+(2x+9)-(5x-7))?

Explanation opens after your attempt

Correct Answer

A. (12)

Step 1

Concept

Removing brackets gives (3x-4+2x+9-5x+7=12). The (x)-terms cancel out.

Step 2

Why this answer is correct

The correct answer is A. (12). Removing brackets gives (3x-4+2x+9-5x+7=12). The (x)-terms cancel out.

Step 3

Exam Tip

कोष्ठक हटाने पर (3x-4+2x+9-5x+7=12) मिलता है। (x) वाले पद कट जाते हैं।

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Question 137/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (p=-1), तो \(2p^4-3p^3+4p^2-5\) का मान क्या होगा?

If (p=-1), what is the value of \(2p^4-3p^3+4p^2-5\)?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

Substitution gives (2+3+4-5=4). Even powers of (-1) are (1), and odd powers are (-1).

Step 2

Why this answer is correct

The correct answer is B. (4). Substitution gives (2+3+4-5=4). Even powers of (-1) are (1), and odd powers are (-1).

Step 3

Exam Tip

मान रखने पर (2+3+4-5=4) मिलता है। (-1) की सम घात (1) और विषम घात (-1) होती है।

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Question 138/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस विकल्प में (6x-3y) में से (2x+8y) घटाने का सही परिणाम है?

Which option gives the correct result of subtracting (2x+8y) from (6x-3y)?

Explanation opens after your attempt

Correct Answer

A. (4x-11y)

Step 1

Concept

((6x-3y)-(2x+8y)=6x-3y-2x-8y=4x-11y). Change all signs of the second expression while subtracting.

Step 2

Why this answer is correct

The correct answer is A. (4x-11y). ((6x-3y)-(2x+8y)=6x-3y-2x-8y=4x-11y). Change all signs of the second expression while subtracting.

Step 3

Exam Tip

((6x-3y)-(2x+8y)=6x-3y-2x-8y=4x-11y)। घटाते समय दूसरे व्यंजक के सभी चिह्न बदलें।

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Question 139/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक \(4x^2y-9xy^2+5x^2y+6xy^2\) का सरल रूप क्या है?

What is the simplified form of \(4x^2y-9xy^2+5x^2y+6xy^2\)?

Explanation opens after your attempt

Correct Answer

A. \(9x^2y-3xy^2\)

Step 1

Concept

\(4x^2y+5x^2y=9x^2y\) and \(-9xy^2+6xy^2=-3xy^2\). Terms are like only when powers match.

Step 2

Why this answer is correct

The correct answer is A. \(9x^2y-3xy^2\). \(4x^2y+5x^2y=9x^2y\) and \(-9xy^2+6xy^2=-3xy^2\). Terms are like only when powers match.

Step 3

Exam Tip

\(4x^2y+5x^2y=9x^2y\) और \(-9xy^2+6xy^2=-3xy^2\)। घातें समान हों तभी पद समान होते हैं।

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Question 140/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (q=4), तो \(\frac{q^3-2q}{4}\) का मान क्या होगा?

If (q=4), what is the value of \(\frac{q^3-2q}{4}\)?

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

Putting (q=4) gives \(\frac{64-8}{4}=14\). Simplify the numerator completely first.

Step 2

Why this answer is correct

The correct answer is B. (14). Putting (q=4) gives \(\frac{64-8}{4}=14\). Simplify the numerator completely first.

Step 3

Exam Tip

(q=4) रखने पर \(\frac{64-8}{4}=14\) मिलता है। अंश को पहले पूरा सरल करें।

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Question 141/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(n) से शुरू होने वाली चार लगातार विषम संख्याओं का योग क्या होगा?

What is the sum of four consecutive odd numbers starting from (n)?

Explanation opens after your attempt

Correct Answer

B. (4n+12)

Step 1

Concept

The four odd numbers are (n), (n+2), (n+4), and (n+6). Their sum is (4n+12).

Step 2

Why this answer is correct

The correct answer is B. (4n+12). The four odd numbers are (n), (n+2), (n+4), and (n+6). Their sum is (4n+12).

Step 3

Exam Tip

चार विषम संख्याएं (n), (n+2), (n+4), और (n+6) होंगी। उनका योग (4n+12) है।

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Question 142/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (3(4x-5)-[2x-3(1-x)]) का सरल रूप क्या है?

What is the simplified form of (3(4x-5)-[2x-3(1-x)])?

Explanation opens after your attempt

Correct Answer

A. (7x-12)

Step 1

Concept

Inside (2x-3+3x=5x-3), so (12x-15-(5x-3)=7x-12). Simplify inside the square bracket first.

Step 2

Why this answer is correct

The correct answer is A. (7x-12). Inside (2x-3+3x=5x-3), so (12x-15-(5x-3)=7x-12). Simplify inside the square bracket first.

Step 3

Exam Tip

अंदर (2x-3+3x=5x-3), इसलिए (12x-15-(5x-3)=7x-12)। वर्ग कोष्ठक के अंदर पहले सरल करें।

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Question 143/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=1) और (y=3), तो (3(x+y)²-4xy) का मान क्या होगा?

If (x=1) and (y=3), what is the value of (3(x+y)²-4xy)?

Explanation opens after your attempt

Correct Answer

A. (36)

Step 1

Concept

Substitution gives (3(4)²-4(1)(3)=48-12=36). Evaluate brackets and squares first.

Step 2

Why this answer is correct

The correct answer is A. (36). Substitution gives (3(4)²-4(1)(3)=48-12=36). Evaluate brackets and squares first.

Step 3

Exam Tip

मान रखने पर (3(4)²-4(1)(3)=48-12=36) मिलता है। कोष्ठक और वर्ग पहले निकालें।

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Question 144/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस विकल्प में (4a-5b+9a-2b-6a) का सही सरल रूप है?

Which option gives the correct simplified form of (4a-5b+9a-2b-6a)?

Explanation opens after your attempt

Correct Answer

A. (7a-7b)

Step 1

Concept

(4a+9a-6a=7a) and (-5b-2b=-7b). Combine only terms with the same variable.

Step 2

Why this answer is correct

The correct answer is A. (7a-7b). (4a+9a-6a=7a) and (-5b-2b=-7b). Combine only terms with the same variable.

Step 3

Exam Tip

(4a+9a-6a=7a) और (-5b-2b=-7b)। समान चर वाले पद ही जोड़ें।

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Question 145/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

एक आयत की लंबाई (4x-7) और चौड़ाई (3x+2) है। परिमाप का व्यंजक क्या होगा?

A rectangle has length (4x-7) and breadth (3x+2). What is the expression for its perimeter?

Explanation opens after your attempt

Correct Answer

A. (14x-10)

Step 1

Concept

The perimeter is (2[(4x-7)+(3x+2)]=2(7x-5)=14x-10). Add length and breadth first.

Step 2

Why this answer is correct

The correct answer is A. (14x-10). The perimeter is (2[(4x-7)+(3x+2)]=2(7x-5)=14x-10). Add length and breadth first.

Step 3

Exam Tip

परिमाप (2[(4x-7)+(3x+2)]=2(7x-5)=14x-10) है। पहले लंबाई और चौड़ाई जोड़ें।

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Question 146/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=1), तो \(6x^3-9x^2+4x-8\) का मान क्या होगा?

If (x=1), what is the value of \(6x^3-9x^2+4x-8\)?

Explanation opens after your attempt

Correct Answer

A. (-7)

Step 1

Concept

Putting (x=1) gives (6-9+4-8=-7). Every positive power of (1) is (1).

Step 2

Why this answer is correct

The correct answer is A. (-7). Putting (x=1) gives (6-9+4-8=-7). Every positive power of (1) is (1).

Step 3

Exam Tip

(x=1) रखने पर (6-9+4-8=-7) मिलता है। (1) की हर धनात्मक घात (1) होती है।

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Question 147/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (7x-3[2x-{x-6}]) का सरल रूप क्या है?

What is the simplified form of (7x-3[2x-{x-6}])?

Explanation opens after your attempt

Correct Answer

A. (4x-18)

Step 1

Concept

Inside (2x-(x-6)=x+6), so (7x-3(x+6)=4x-18). Remove inner brackets first.

Step 2

Why this answer is correct

The correct answer is A. (4x-18). Inside (2x-(x-6)=x+6), so (7x-3(x+6)=4x-18). Remove inner brackets first.

Step 3

Exam Tip

अंदर (2x-(x-6)=x+6), इसलिए (7x-3(x+6)=4x-18)। अंदरूनी कोष्ठक पहले हटाएं।

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Question 148/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस विकल्प में \(5x^2-3x+8\) में से \(2x^2-7x-6\) घटाने का सही परिणाम है?

Which option gives the correct result of subtracting \(2x^2-7x-6\) from \(5x^2-3x+8\)?

Explanation opens after your attempt

Correct Answer

A. \(3x^2+4x+14\)

Step 1

Concept

(\(5x^2-3x+8\)-\(2x^2-7x-6\)=3x^-2+4x+14). Change all signs of the second expression while subtracting.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2+4x+14\). (\(5x^2-3x+8\)-\(2x^2-7x-6\)=3x^-2+4x+14). Change all signs of the second expression while subtracting.

Step 3

Exam Tip

(\(5x^2-3x+8\)-\(2x^2-7x-6\)=3x^-2+4x+14)। घटाते समय दूसरे व्यंजक के सभी चिह्न बदलें।

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Question 149/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=2), तो (x(x+5)-3(x-1)) का मान क्या होगा?

If (x=2), what is the value of (x(x+5)-3(x-1))?

Explanation opens after your attempt

Correct Answer

A. (11)

Step 1

Concept

Substitution gives (2(7)-3(1)=11). Evaluate the brackets first.

Step 2

Why this answer is correct

The correct answer is A. (11). Substitution gives (2(7)-3(1)=11). Evaluate the brackets first.

Step 3

Exam Tip

मान रखने पर (2(7)-3(1)=11) मिलता है। पहले कोष्ठक का मान निकालें।

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Question 150/150 Hard Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

व्यंजक (2(5x-3)-4[2x-{x-2}]) का सरल रूप क्या है?

What is the simplified form of (2(5x-3)-4[2x-{x-2}])?

Explanation opens after your attempt

Correct Answer

B. (6x-14)

Step 1

Concept

Inside (2x-(x-2)=x+2), so (10x-6-4(x+2)=6x-14). Solve brackets from inside to outside.

Step 2

Why this answer is correct

The correct answer is B. (6x-14). Inside (2x-(x-2)=x+2), so (10x-6-4(x+2)=6x-14). Solve brackets from inside to outside.

Step 3

Exam Tip

अंदर (2x-(x-2)=x+2), इसलिए (10x-6-4(x+2)=6x-14)। कोष्ठकों को अंदर से बाहर हल करें।

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Class 9 Mathematics - Introduction to Polynomials - Algebraic expressions Hard Quiz

व्यंजक (3(2x-5)-2(x+4)) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (a=-2), तो \(4a^2-3a-5\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

व्यंजक \(5p^2-3p+7-2p^2+8p-4\) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में (2x+3) और (5x-9) के अंतर (2x+3-(5x-9)) का सही रूप है?

Concept

Why this answer is correct

Exam Tip

यदि (x=3) और (y=-1), तो \(2x^2-xy+4y\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

कौन सा व्यंजक (n) से शुरू होने वाली तीन लगातार सम संख्याओं के योग को दर्शाता है?

Concept

Why this answer is correct

Exam Tip

व्यंजक (7m-2(3m-4)+5(m-1)) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (r=4), तो \(\frac{3r^2-2r}{2}\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में \(4a^2b-7ab^2+3a^2b+2ab^2\) का सही सरल रूप है?

Concept

Why this answer is correct

Exam Tip

किस व्यंजक में (x) का गुणांक (0) है लेकिन \(x^2\) का पद मौजूद है?

Concept

Why this answer is correct

Exam Tip

व्यंजक (2(x-y)-3(y-x)) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (u=-3) और (v=2), तो \(u^2-2uv+v^2\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

एक आयत की लंबाई (2x+3) और चौड़ाई (x-5) है। इसका परिमाप क्या होगा?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में \(-5x^2\) और \(8x^2\) के योग का सही परिणाम है?

Concept

Why this answer is correct

Exam Tip

व्यंजक (4(2a-3b)-3(a-2b)) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (x=1), तो \(5x^3-4x^2+3x-2\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

कौन सा व्यंजक (x) और (y) के योग के वर्ग में से (xy) घटाने को दर्शाता है?

Concept

Why this answer is correct

Exam Tip

व्यंजक (3x-[2x-(x-5)]) का सरल रूप क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (t=-1), तो \(2t^3-3t^2+4t+6\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

व्यंजक (9x-2[3x+4(1-x)]) का सरल रूप क्या है?

Concept

व्यंजक (7m-2(3m-4)+5(m^-1)) का सरल रूप क्या है?

यदि (x=2) और (y=3), तो ((x+y)²-xy) का मान क्या होगा?