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Mathematics Quiz - Class 9 Mathematics Sequences and Prog...

Question 1/50 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 2/50 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 3/50 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 4/50 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 5/50 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 6/50 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 7/50 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 8/50 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 9/50 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 10/50 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 11/50 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 12/50 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 13/50 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 14/50 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 15/50 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 16/50 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 17/50 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 18/50 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 19/50 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 20/50 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 21/50 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 22/50 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 23/50 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 24/50 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 25/50 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 26/50 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 27/50 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 28/50 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 29/50 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 30/50 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 31/50 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 32/50 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 33/50 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 34/50 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 35/50 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 36/50 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 37/50 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 38/50 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 39/50 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 40/50 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 41/50 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 42/50 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 43/50 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 44/50 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 45/50 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 46/50 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 47/50 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 48/50 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 49/50 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 50/50 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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Class 9 Mathematics - Sequences and Progressions - Sequences 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

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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

Why this answer is correct

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?