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Class 9 Mathematics - Introduction to Polynomials - Algebraic expressions Medium Quiz

Mathematics Introduction to Polynomials Algebraic expressions Medium Class 9 Topic Quiz

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Question 1/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

व्यंजक \(4x^2-7x+9\) में रैखिक पद कौन-सा है?

Which is the linear term in the expression \(4x^2-7x+9\)?

Explanation opens after your attempt
Correct Answer

B. (-7x)

Explanation

Simple Explanation

रैखिक पद में चर की घात एक होती है। चिन्ह सहित (-7x) सही पद है। / A linear term has the variable with power one. The correct term with its sign is (-7x).

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Question 2/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(3a^2b\) और \(5ab^2\) के बारे में सही कथन कौन-सा है?

Which statement is correct about \(3a^2b\) and \(5ab^2\)?

Explanation opens after your attempt
Correct Answer

C. दोनों असमान पद हैंBoth are unlike terms

Explanation

Simple Explanation

चर समान दिखते हैं पर उनकी घातें अलग हैं। समान पदों में चर और घात दोनों समान होने चाहिए। / The variables look similar but their powers are different. Like terms must have the same variables with the same powers.

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Question 3/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(6p-4q+2p+9q) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (6p-4q+2p+9q)?

Explanation opens after your attempt
Correct Answer

A. (8p+5q)

Explanation

Simple Explanation

समान पदों को जोड़ें तो (6p+2p=8p) और (-4q+9q=5q)। पहले समान चर वाले पदों को समूहित करें। / Combining like terms gives (6p+2p=8p) and (-4q+9q=5q). Group terms with the same variable first.

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Question 4/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

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

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

Explanation opens after your attempt
Correct Answer

D. (-1)

Explanation

Simple Explanation

मान रखने पर ((-2)2+3(-2)+1=4-6+1=-1)। ऋणात्मक संख्या का वर्ग करते समय कोष्ठक लगाएँ। / Substitution gives ((-2)2+3(-2)+1=4-6+1=-1). Use brackets when squaring a negative number.

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Question 5/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

व्यंजक (7mn-3m+5) में कितने पद हैं?

How many terms are there in (7mn-3m+5)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

इसमें (7mn), (-3m) और (5) तीन पद हैं। घटाव वाले पद को चिन्ह सहित गिनें। / It has three terms: (7mn), (-3m), and (5). Count the term after a minus sign with its sign.

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Question 6/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(2(x-5)+3x) को सरल करने पर कौन-सा व्यंजक मिलेगा?

Which expression is obtained after simplifying (2(x-5)+3x)?

Explanation opens after your attempt
Correct Answer

C. (5x-10)

Explanation

Simple Explanation

पहले (2(x-5)=2x-10) करें फिर (3x) जोड़ें। इससे (5x-10) मिलता है। / First expand (2(x-5)=2x-10), then add (3x). This gives (5x-10).

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Question 7/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा व्यंजक \(4x^2-3x+6\) में (x) के गुणांक को सही बताता है?

Which option correctly gives the coefficient of (x) in \(4x^2-3x+6\)?

Explanation opens after your attempt
Correct Answer

B. (-3)

Explanation

Simple Explanation

(x) वाला पद (-3x) है। इसलिए (x) का गुणांक (-3) है। / The term containing (x) is (-3x). So the coefficient of (x) is (-3).

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Question 8/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

यदि (a=2) और (b=-1), तो (3a-2b) का मान क्या होगा?

If (a=2) and (b=-1), what is the value of (3a-2b)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

(3a-2b=3(2)-2(-1)=6+2=8)। ऋणात्मक मान घटाने पर जोड़ बन सकता है। / (3a-2b=3(2)-2(-1)=6+2=8). Subtracting a negative value can become addition.

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Question 9/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(5u^2+2u-8\) में स्थिर पद कौन-सा है?

Which is the constant term in \(5u^2+2u-8\)?

Explanation opens after your attempt
Correct Answer

C. (-8)

Explanation

Simple Explanation

स्थिर पद में कोई चर नहीं होता और उसे चिन्ह सहित लिया जाता है। यहाँ स्थिर पद (-8) है। / A constant term has no variable and is taken with its sign. Here the constant term is (-8).

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Question 10/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा व्यंजक (m) और (n) के योग के (3) गुने को दर्शाता है?

Which expression represents three times the sum of (m) and (n)?

Explanation opens after your attempt
Correct Answer

C. (3(m+n))

Explanation

Simple Explanation

योग पहले लेना है और फिर उसे (3) से गुणा करना है। इसलिए कोष्ठक वाला रूप (3(m+n)) सही है। / The sum must be taken first and then multiplied by (3). So the bracketed form (3(m+n)) is correct.

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Question 11/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(9x^2y\) में संख्यात्मक गुणांक क्या है?

What is the numerical coefficient in \(9x^2y\)?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

संख्यात्मक गुणांक वह संख्या है जो चर भाग से गुणा होती है। \(9x^2y\) में यह संख्या (9) है। / The numerical coefficient is the number multiplying the variable part. In \(9x^2y\), this number is (9).

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Question 12/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(4r^2-6r^2+5r\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(4r^2-6r^2+5r\)?

Explanation opens after your attempt
Correct Answer

B. \(-2r^2+5r\)

Explanation

Simple Explanation

\(4r^2\) और \(-6r^2\) समान पद हैं और उनका योग \(-2r^2\) है। (5r) अलग पद रहता है। / \(4r^2\) and \(-6r^2\) are like terms and their sum is \(-2r^2\). The term (5r) remains separate.

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Question 13/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा जोड़ा समान पदों का है?

Which pair consists of like terms?

Explanation opens after your attempt
Correct Answer

A. (7ab) और (-2ab)(7ab) and (-2ab)

Explanation

Simple Explanation

(7ab) और (-2ab) में चर भाग (ab) समान है। गुणांक अलग हो सकते हैं। / (7ab) and (-2ab) have the same variable part (ab). Coefficients may be different.

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Question 14/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

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

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

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

(2t-2-t=2\(3^2\)-3=18-3=15)। पहले घात फिर गुणा और फिर घटाव करें। / (2t-2-t=2\(3^2\)-3=18-3=15). Do powers first, then multiplication, then subtraction.

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Question 15/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(5(x+2)-2(x-1)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (5(x+2)-2(x-1))?

Explanation opens after your attempt
Correct Answer

A. (3x+12)

Explanation

Simple Explanation

खोलने पर (5x+10-2x+2) मिलता है। समान पद मिलाकर (3x+12) बनेगा। / Expanding gives (5x+10-2x+2). Combining like terms gives (3x+12).

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Question 16/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

व्यंजक \(2x^3-5x+1\) में सबसे बड़ी घात क्या है?

What is the highest power in the expression \(2x^3-5x+1\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

सबसे बड़ी घात \(x^3\) में (3) है। उच्चतम घात पहचानना बहुपद की समझ में मदद करता है। / The highest power is (3) in \(x^3\). Identifying the highest power helps in understanding polynomials.

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Question 17/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा व्यंजक (2y) से (5) अधिक को दर्शाता है?

Which expression represents (5) more than (2y)?

Explanation opens after your attempt
Correct Answer

D. (2y+5)

Explanation

Simple Explanation

(5) अधिक का अर्थ दिए गए व्यंजक में (5) जोड़ना है। इसलिए (2y+5) सही है। / (5) more means adding (5) to the given expression. So (2y+5) is correct.

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Question 18/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

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

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

Explanation opens after your attempt
Correct Answer

A. (3)

Explanation

Simple Explanation

((-3)2+2(-3)=9-6=3)। ऋणात्मक संख्या का वर्ग धनात्मक होता है। / ((-3)2+2(-3)=9-6=3). The square of a negative number is positive.

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Question 19/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(8a^2b-3a^2b+4ab\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(8a^2b-3a^2b+4ab\)?

Explanation opens after your attempt
Correct Answer

A. \(5a^2b+4ab\)

Explanation

Simple Explanation

\(8a^2b\) और \(-3a^2b\) समान पद हैं। (4ab) की घातें अलग हैं इसलिए वह अलग रहेगा। / \(8a^2b\) and \(-3a^2b\) are like terms. (4ab) has different powers, so it remains separate.

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Question 20/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा व्यंजक (x) के वर्ग और (x) के तीन गुने के अंतर को दर्शाता है?

Which expression represents the difference between the square of (x) and three times (x)?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

(x) का वर्ग \(x^2\) है और (x) का तीन गुना (3x) है। अंतर के लिए \(x^2-3x\) लिखेंगे। / The square of (x) is \(x^2\) and three times (x) is (3x). The difference is written as \(x^2-3x\).

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Question 21/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(12x^2y\) में चर भाग कौन-सा है?

What is the variable part in \(12x^2y\)?

Explanation opens after your attempt
Correct Answer

B. \(x^2y\)

Explanation

Simple Explanation

संख्या (12) गुणांक है और \(x^2y\) चर भाग है। पद को संख्या और चर भाग में बाँटकर देखें। / The number (12) is the coefficient and \(x^2y\) is the variable part. Split the term into number and variable parts.

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Question 22/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(4m-(2m-7)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (4m-(2m-7))?

Explanation opens after your attempt
Correct Answer

C. (2m+7)

Explanation

Simple Explanation

घटाव का चिन्ह कोष्ठक के अंदर के दोनों पदों के चिन्ह बदलता है। इसलिए (4m-2m+7=2m+7)। / The minus sign before the bracket changes the signs of both terms inside. Thus (4m-2m+7=2m+7).

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Question 23/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(x+x^2+2x\) को समान पद मिलाकर कैसे लिखेंगे?

How will \(x+x^2+2x\) be written after combining like terms?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

(x) और (2x) समान पद हैं और उनका योग (3x) है। \(x^2\) अलग पद रहेगा। / (x) and (2x) are like terms and their sum is (3x). \(x^2\) remains a separate term.

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Question 24/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

किस व्यंजक में \(x^2\) का गुणांक (-4) है?

In which expression is the coefficient of \(x^2\) equal to (-4)?

Explanation opens after your attempt
Correct Answer

D. \(-4x^2+7\)

Explanation

Simple Explanation

\(-4x^2+7\) में \(x^2\) के साथ (-4) गुणा हो रहा है। गुणांक चिन्ह सहित लिया जाता है। / In \(-4x^2+7\), \(x^2\) is multiplied by (-4). A coefficient is taken with its sign.

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Question 25/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

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

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

Explanation opens after your attempt
Correct Answer

A. (8)

Explanation

Simple Explanation

\(xy+x=2\cdot3+2=8\)। पहले गुणा करें और फिर जोड़ें। / \(xy+x=2\cdot3+2=8\). Multiply first and then add.

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Question 26/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा व्यंजक (2a-3b+5a-b) के बराबर है?

Which expression is equal to (2a-3b+5a-b)?

Explanation opens after your attempt
Correct Answer

B. (7a-4b)

Explanation

Simple Explanation

(2a+5a=7a) और (-3b-b=-4b)। समान पदों को अलग-अलग जोड़ें। / (2a+5a=7a) and (-3b-b=-4b). Combine like terms separately.

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Question 27/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

व्यंजक \(3x^2y+4xy^2-5\) में कितने चर प्रयुक्त हुए हैं?

How many variables are used in the expression \(3x^2y+4xy^2-5\)?

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

इस व्यंजक में अलग-अलग चर (x) और (y) हैं। घात बदलने से नया चर नहीं बनता। / The distinct variables in this expression are (x) and (y). Changing powers does not create a new variable.

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Question 28/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(7(z-1)+2) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (7(z-1)+2)?

Explanation opens after your attempt
Correct Answer

A. (7z-5)

Explanation

Simple Explanation

(7(z-1)=7z-7) और फिर (2) जोड़ने पर (7z-5) मिलता है। कोष्ठक खोलने के बाद स्थिर पद जोड़ें। / (7(z-1)=7z-7), and adding (2) gives (7z-5). Add constant terms after expanding brackets.

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Question 29/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा विकल्प असमान पदों का सही उदाहरण है?

Which option is a correct example of unlike terms?

Explanation opens after your attempt
Correct Answer

C. \(5s^2\) और (5s)\(5s^2\) and (5s)

Explanation

Simple Explanation

\(5s^2\) और (5s) में (s) की घात अलग है। इसलिए ये असमान पद हैं। / In \(5s^2\) and (5s), the power of (s) is different. So they are unlike terms.

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Question 30/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

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

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

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

(42-2(4)+3=16-8+3=11)। मान निकालते समय क्रियाओं का क्रम न भूलें। / (42-2(4)+3=16-8+3=11). Do not forget the order of operations while evaluating.

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Question 31/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(a^2+a+a^2+3\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(a^2+a+a^2+3\)?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

दो \(a^2\) पद मिलकर \(2a^2\) बनते हैं। (a) और (3) अलग रहते हैं। / The two \(a^2\) terms combine to make \(2a^2\). (a) and (3) remain separate.

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Question 32/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा व्यंजक (-3) को (x) से गुणा करके (8) जोड़ने को दर्शाता है?

Which expression represents multiplying (x) by (-3) and then adding (8)?

Explanation opens after your attempt
Correct Answer

B. (-3x+8)

Explanation

Simple Explanation

पहले (-3) और (x) का गुणनफल (-3x) है। फिर (8) जोड़ने पर (-3x+8) मिलता है। / First the product of (-3) and (x) is (-3x). Then adding (8) gives (-3x+8).

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Question 33/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

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

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

Explanation opens after your attempt
Correct Answer

A. \(7x^2-4x\)

Explanation

Simple Explanation

\(2x^2+5x^2=7x^2\) और (-3x-x=-4x)। समान घात वाले पदों को मिलाएँ। / \(2x^2+5x^2=7x^2\) and (-3x-x=-4x). Combine terms with the same powers.

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Question 34/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(3a(2a-1)) को खोलने पर क्या मिलेगा?

What is obtained by expanding (3a(2a-1))?

Explanation opens after your attempt
Correct Answer

B. \(6a^2-3a\)

Explanation

Simple Explanation

(3a) को (2a) और (-1) दोनों से गुणा करें। परिणाम \(6a^2-3a\) है। / Multiply (3a) by both (2a) and (-1). The result is \(6a^2-3a\).

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Question 35/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

किस व्यंजक में स्थिर पद नहीं है?

Which expression has no constant term?

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Correct Answer

C. (5mn+2m)

Explanation

Simple Explanation

(5mn+2m) के हर पद में चर है। इसलिए अलग स्थिर पद नहीं है। / Every term in (5mn+2m) has a variable. Therefore, there is no separate constant term.

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Question 36/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

यदि (u=1) और (v=-2), तो \(4u+v^2\) का मान क्या होगा?

If (u=1) and (v=-2), what is the value of \(4u+v^2\)?

Explanation opens after your attempt
Correct Answer

D. (8)

Explanation

Simple Explanation

(4(1)+(-2)2=4+4=8)। ऋणात्मक संख्या का वर्ग धनात्मक होता है। / (4(1)+(-2)2=4+4=8). The square of a negative number is positive.

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Question 37/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(x) और (y) के अंतर के दोगुने का व्यंजक कौन-सा है?

Which expression represents twice the difference of (x) and (y)?

Explanation opens after your attempt
Correct Answer

C. (2(x-y))

Explanation

Simple Explanation

पहले अंतर (x-y) बनता है फिर उसका दोगुना लेते हैं। इसलिए (2(x-y)) सही है। / First form the difference (x-y), then take twice of it. So (2(x-y)) is correct.

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Question 38/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(10q^2-4q+q^2+6q\) को सरल करने पर कौन-सा व्यंजक बनेगा?

Which expression is formed after simplifying \(10q^2-4q+q^2+6q\)?

Explanation opens after your attempt
Correct Answer

A. \(11q^2+2q\)

Explanation

Simple Explanation

\(10q^2+q^2=11q^2\) और (-4q+6q=2q)। घात के आधार पर पद मिलाएँ। / \(10q^2+q^2=11q^2\) and (-4q+6q=2q). Combine terms according to their powers.

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Question 39/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा कथन (0) गुणांक के बारे में सही है?

Which statement about coefficient (0) is correct?

Explanation opens after your attempt
Correct Answer

B. (0x) का मान (0) होता हैThe value of (0x) is (0)

Explanation

Simple Explanation

किसी भी संख्या या चर को (0) से गुणा करने पर (0) मिलता है। इसलिए (0x=0) है। / Multiplying any number or variable by (0) gives (0). Therefore, (0x=0).

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Question 40/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(5x-2(3x-4)) का सरल रूप क्या है?

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

Explanation opens after your attempt
Correct Answer

B. (-x+8)

Explanation

Simple Explanation

(-2(3x-4)=-6x+8), इसलिए (5x-6x+8=-x+8)। कोष्ठक के बाहर ऋणात्मक गुणन पर ध्यान दें। / (-2(3x-4)=-6x+8), so (5x-6x+8=-x+8). Pay attention to negative multiplication outside brackets.

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Question 41/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

व्यंजक \(2x^2y^3\) में (y) की घात क्या है?

What is the power of (y) in the expression \(2x^2y^3\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

(y) के ऊपर लिखी घात (3) है। अलग-अलग चर की घात अलग देखी जाती है। / The power written on (y) is (3). Powers of different variables are checked separately.

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Question 42/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा व्यंजक (x) के आधे और (7) के योग को दर्शाता है?

Which expression represents the sum of half of (x) and (7)?

Explanation opens after your attempt
Correct Answer

C. \(\frac{x}{2}+7\)

Explanation

Simple Explanation

(x) का आधा \(\frac{x}{2}\) है और उसमें (7) जोड़ना है। इसलिए \(\frac{x}{2}+7\) सही है। / Half of (x) is \(\frac{x}{2}\), and (7) must be added to it. So \(\frac{x}{2}+7\) is correct.

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Question 43/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

यदि (x=5), तो \(\frac{x+3}{2}\) का मान क्या होगा?

If (x=5), what is the value of \(\frac{x+3}{2}\)?

Explanation opens after your attempt
Correct Answer

A. (4)

Explanation

Simple Explanation

\(\frac{x+3}{2}=\frac{5+3}{2}=\frac{8}{2}=4\)। भिन्न में पहले अंश को सरल करें। / \(\frac{x+3}{2}=\frac{5+3}{2}=\frac{8}{2}=4\). Simplify the numerator first in a fraction.

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Question 44/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(3x+2y-x+5y) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (3x+2y-x+5y)?

Explanation opens after your attempt
Correct Answer

A. (2x+7y)

Explanation

Simple Explanation

(3x-x=2x) और (2y+5y=7y)। अलग-अलग चर वाले पदों को अलग जोड़ें। / (3x-x=2x) and (2y+5y=7y). Combine terms with different variables separately.

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Question 45/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा विकल्प (2(x+4)) के बराबर नहीं है?

Which option is not equal to (2(x+4))?

Explanation opens after your attempt
Correct Answer

C. (2x+4)

Explanation

Simple Explanation

(2(x+4)) खोलने पर (2x+8) मिलता है। (2x+4) में (4) को (2) से गुणा नहीं किया गया। / Expanding (2(x+4)) gives (2x+8). In (2x+4), (4) has not been multiplied by (2).

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Question 46/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(a^2b\) और \(ab^2\) को समान पद बनाने के लिए कौन-सी शर्त चाहिए?

What condition is needed for \(a^2b\) and \(ab^2\) to be like terms?

Explanation opens after your attempt
Correct Answer

B. चर भाग बिल्कुल समान होVariable parts must be exactly same

Explanation

Simple Explanation

समान पदों के लिए चर और उनकी घातें बिल्कुल समान होनी चाहिए। यहाँ घातों की अदला-बदली से पद असमान हैं। / For like terms, variables and their powers must be exactly the same. Here swapped powers make the terms unlike.

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Question 47/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

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

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

Explanation opens after your attempt
Correct Answer

B. (-1)

Explanation

Simple Explanation

(4(-1)2+3(-1)-2=4-3-2=-1)। ऋणात्मक मान रखते समय कोष्ठक उपयोग करें। / (4(-1)2+3(-1)-2=4-3-2=-1). Use brackets while substituting a negative value.

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Question 48/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

(2ab+3ab-4a) में कौन-सा पद (ab) का समान पद नहीं है?

In (2ab+3ab-4a), which term is not a like term of (ab)?

Explanation opens after your attempt
Correct Answer

C. (-4a)

Explanation

Simple Explanation

(-4a) में केवल (a) है जबकि (ab) में (a) और (b) दोनों हैं। इसलिए यह समान पद नहीं है। / (-4a) has only (a), while (ab) has both (a) and (b). So it is not a like term.

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Question 49/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

किस व्यंजक का सरल रूप (6x-9) है?

Which expression has the simplified form (6x-9)?

Explanation opens after your attempt
Correct Answer

A. (3(2x-3))

Explanation

Simple Explanation

(3(2x-3)=6x-9)। कोष्ठक खोलकर विकल्प जाँचें। / (3(2x-3)=6x-9). Expand the bracket to check the option.

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Question 50/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

\(x^2-2x+4-x^2+5x\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(x^2-2x+4-x^2+5x\)?

Explanation opens after your attempt
Correct Answer

B. (3x+4)

Explanation

Simple Explanation

\(x^2-x^2=0\) और (-2x+5x=3x)। इसलिए सरल रूप (3x+4) है। / \(x^2-x^2=0\) and (-2x+5x=3x). Therefore, the simplified form is (3x+4).

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Question 51/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(4x^2-3x+7\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in the expression \(4x^2-3x+7\)?

Explanation opens after your attempt
Correct Answer

A. (4)

Explanation

Simple Explanation

\(x^2\) के साथ गुणा हुई संख्या (4) है। गुणांक में चिह्न और संख्या दोनों देखें। / The number multiplied with \(x^2\) is (4). Check both sign and number in a coefficient.

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Question 52/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (6a-5b+9) में कौन सा पद नियतांक है?

Which term is constant in the expression (6a-5b+9)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

नियतांक पद में कोई चर नहीं होता। यहां (9) बिना चर वाला पद है। / A constant term has no variable. Here (9) is the term without a variable.

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Question 53/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(3p^2+2p-8\) में कुल कितने पद हैं?

How many terms are there in \(3p^2+2p-8\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

पद \(3p^2\), (2p), और (-8) हैं। इसलिए कुल (3) पद हैं। / The terms are \(3p^2\), (2p), and (-8). So there are (3) terms.

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Question 54/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा युग्म समान पदों का है?

Which pair is a pair of like terms?

Explanation opens after your attempt
Correct Answer

C. (-4ab) और (9ab)(-4ab) and (9ab)

Explanation

Simple Explanation

समान पदों में चर वाला भाग समान होता है। (-4ab) और (9ab) में चर वाला भाग (ab) समान है। / Like terms have the same variable part. In (-4ab) and (9ab), the variable part (ab) is the same.

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Question 55/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (7x+4-2x+9) का सरल रूप क्या है?

What is the simplified form of (7x+4-2x+9)?

Explanation opens after your attempt
Correct Answer

A. (5x+13)

Explanation

Simple Explanation

समान पद जोड़ने पर (7x-2x=5x) और (4+9=13)। इसलिए सरल रूप (5x+13) है। / Combining like terms gives (7x-2x=5x) and (4+9=13). So the simplified form is (5x+13).

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Question 56/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2(3y-5)) को खोलने पर क्या मिलेगा?

What is obtained by expanding (2(3y-5))?

Explanation opens after your attempt
Correct Answer

B. (6y-10)

Explanation

Simple Explanation

(2) को (3y) और (-5) दोनों से गुणा करें। इसलिए (2(3y-5)=6y-10)। / Multiply (2) by both (3y) and (-5). Therefore (2(3y-5)=6y-10).

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Question 57/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

मान रखने पर (2a-2-a+1=2\(3^2\)-3+1=16)। पहले घात फिर गुणा करें। / Substituting gives (2a-2-a+1=2\(3^2\)-3+1=16). Evaluate powers before multiplication.

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Question 58/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

D. (11)

Explanation

Simple Explanation

(3x+y=3(2)+5=11)। दो चर वाले प्रश्न में दोनों मान सही जगह रखें। / (3x+y=3(2)+5=11). In two-variable questions, substitute both values in the correct places.

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Question 59/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(n) के वर्ग के तीन गुने में (4) जोड़ने का व्यंजक कौन सा है?

Which expression represents adding (4) to three times the square of (n)?

Explanation opens after your attempt
Correct Answer

A. \(3n^2+4\)

Explanation

Simple Explanation

(n) का वर्ग \(n^2\) है और उसका तीन गुना \(3n^2\) है। उसमें (4) जोड़ने पर \(3n^2+4\) मिलता है। / The square of (n) is \(n^2\), and three times it is \(3n^2\). Adding (4) gives \(3n^2+4\).

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Question 60/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(5r^2-2r^2+6r\) का सरल रूप क्या है?

What is the simplified form of \(5r^2-2r^2+6r\)?

Explanation opens after your attempt
Correct Answer

B. \(3r^2+6r\)

Explanation

Simple Explanation

\(5r^2\) और \(-2r^2\) समान पद हैं। उनका योग \(3r^2\) है और (6r) अलग रहता है। / \(5r^2\) and \(-2r^2\) are like terms. Their sum is \(3r^2\), and (6r) remains separate.

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Question 61/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

निम्न में से कौन सा व्यंजक द्विपदी है?

Which of the following expressions is a binomial?

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Correct Answer

A. \(4x^2-7\)

Explanation

Simple Explanation

द्विपदी में दो पद होते हैं। \(4x^2-7\) में \(4x^2\) और (-7) दो पद हैं। / A binomial has two terms. \(4x^2-7\) has the two terms \(4x^2\) and (-7).

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Question 62/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

B. (5xy-2)

Explanation

Simple Explanation

(-3xy+8xy=5xy) और (-2) अलग रहता है। इसलिए सही रूप (5xy-2) है। / (-3xy+8xy=5xy), and (-2) remains separate. So the correct form is (5xy-2).

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Question 63/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

A. (-2)

Explanation

Simple Explanation

(p=-2) रखने पर \(p^2+3p=4-6=-2\)। ऋणात्मक मान का वर्ग धनात्मक होता है। / Putting (p=-2), \(p^2+3p=4-6=-2\). The square of a negative value is positive.

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Question 64/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (9m-4n+2m-6n) का सरल रूप क्या है?

What is the simplified form of (9m-4n+2m-6n)?

Explanation opens after your attempt
Correct Answer

C. (11m-10n)

Explanation

Simple Explanation

(9m+2m=11m) और (-4n-6n=-10n)। इसलिए सरल रूप (11m-10n) है। / (9m+2m=11m) and (-4n-6n=-10n). So the simplified form is (11m-10n).

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Question 65/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(5) कम है (2x) और (3) के योग से। इसका सही व्यंजक कौन सा है?

(5) less than the sum of (2x) and (3). Which is the correct expression?

Explanation opens after your attempt
Correct Answer

D. (2x+3-5)

Explanation

Simple Explanation

पहले योग (2x+3) है और फिर उसमें से (5) घटता है। इसलिए व्यंजक (2x+3-5) है। / First the sum is (2x+3), and then (5) is subtracted from it. So the expression is (2x+3-5).

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Question 66/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

A. (7x+6)

Explanation

Simple Explanation

पहले (3(x+2)=3x+6) करें। फिर (3x+4x=7x) जोड़कर (7x+6) मिलेगा। / First expand (3(x+2)=3x+6). Then combine (3x+4x=7x) to get (7x+6).

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Question 67/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा व्यंजक (a) और (b) के अंतर के (4) गुने को दर्शाता है?

Which expression represents (4) times the difference of (a) and (b)?

Explanation opens after your attempt
Correct Answer

C. (4(a-b))

Explanation

Simple Explanation

(a) और (b) का अंतर (a-b) है। उसके (4) गुने के लिए पूरा अंतर कोष्ठक में रखें। / The difference of (a) and (b) is (a-b). For (4) times it, keep the whole difference in brackets.

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Question 68/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

D. (7)

Explanation

Simple Explanation

(u-2v=1-2(-3)=1+6=7)। ऋणात्मक संख्या से गुणा करते समय चिह्न पर ध्यान दें। / (u-2v=1-2(-3)=1+6=7). Pay attention to signs while multiplying a negative number.

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Question 69/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(12c^2-5c+3c^2-2c\) का सरल रूप क्या है?

What is the simplified form of \(12c^2-5c+3c^2-2c\)?

Explanation opens after your attempt
Correct Answer

A. \(15c^2-7c\)

Explanation

Simple Explanation

\(12c^2+3c^2=15c^2\) और (-5c-2c=-7c)। समान पद अलग-अलग जोड़ें। / \(12c^2+3c^2=15c^2\) and (-5c-2c=-7c). Combine like terms separately.

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Question 70/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(4x^2y\) में चर वाला भाग कौन सा है?

What is the variable part in \(4x^2y\)?

Explanation opens after your attempt
Correct Answer

B. \(x^2y\)

Explanation

Simple Explanation

संख्यात्मक गुणांक (4) को हटाने पर चर वाला भाग \(x^2y\) बचता है। पद को गुणांक और चर भाग में बांटकर देखें। / After removing the numerical coefficient (4), the variable part \(x^2y\) remains. View a term as coefficient and variable part.

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Question 71/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

C. \(-3x^2\)

Explanation

Simple Explanation

गुणांक (2+(-5)=-3) हैं और चर भाग \(x^2\) वही रहता है। इसलिए योग \(-3x^2\) है। / The coefficients are (2+(-5)=-3), and the variable part \(x^2\) stays the same. So the sum is \(-3x^2\).

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Question 72/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

A. (3a-12)

Explanation

Simple Explanation

खोलने पर (5a-10-2a-2=3a-12) मिलता है। ऋण चिह्न को पूरे कोष्ठक पर लागू करें। / On expanding, (5a-10-2a-2=3a-12). Apply the negative sign to the whole bracket.

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Question 73/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

(x=-1) रखने पर (1+4+3=8) मिलता है। (-4(-1)) का मान (4) होगा। / Putting (x=-1) gives (1+4+3=8). The value of (-4(-1)) is (4).

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Question 74/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस व्यंजक में (x) का गुणांक (0) है?

In which expression is the coefficient of (x) equal to (0)?

Explanation opens after your attempt
Correct Answer

B. \(x^2+6\)

Explanation

Simple Explanation

\(x^2+6\) में (x) का प्रथम घात वाला पद नहीं है। इसलिए (x) का गुणांक (0) माना जाता है। / In \(x^2+6\), there is no first-power (x) term. So the coefficient of (x) is taken as (0).

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Question 75/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (8k-3(2k-1)) का सरल रूप क्या है?

What is the simplified form of (8k-3(2k-1))?

Explanation opens after your attempt
Correct Answer

B. (2k+3)

Explanation

Simple Explanation

(8k-3(2k-1)=8k-6k+3=2k+3)। कोष्ठक से पहले ऋणात्मक गुणन ध्यान से करें। / (8k-3(2k-1)=8k-6k+3=2k+3). Handle negative multiplication before brackets carefully.

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Question 76/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि आयत की लंबाई (x+4) और चौड़ाई (x-1) है, तो परिमाप का व्यंजक क्या होगा?

If the length of a rectangle is (x+4) and breadth is (x-1), what is the expression for its perimeter?

Explanation opens after your attempt
Correct Answer

B. (4x+6)

Explanation

Simple Explanation

परिमाप (2[(x+4)+(x-1)]=2(2x+3)=4x+6) है। पहले लंबाई और चौड़ाई जोड़ें। / The perimeter is (2[(x+4)+(x-1)]=2(2x+3)=4x+6). Add length and breadth first.

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Question 77/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (x(x+3)) को खोलने पर क्या मिलेगा?

What is obtained by expanding (x(x+3))?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

(x) को (x) और (3) दोनों से गुणा करें। इससे \(x^2+3x\) मिलता है। / Multiply (x) by both (x) and (3). This gives \(x^2+3x\).

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Question 78/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (m=2) और (n=4), तो \(mn+m^2\) का मान क्या होगा?

If (m=2) and (n=4), what is the value of \(mn+m^2\)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(mn+m-2=2(4)+22=8+4=12)। गुणन और घात दोनों सही क्रम में करें। / (mn+m-2=2(4)+22=8+4=12). Do multiplication and powers in the correct order.

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Question 79/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा कथन (xy) और (x+y) के बारे में सही है?

Which statement about (xy) and (x+y) is correct?

Explanation opens after your attempt
Correct Answer

B. (xy) गुणन है और (x+y) योग है(xy) is product and (x+y) is sum

Explanation

Simple Explanation

साथ लिखे गए चर गुणन दर्शाते हैं और (+) चिह्न योग दर्शाता है। इसलिए (xy) और (x+y) अलग व्यंजक हैं। / Variables written together show multiplication and the (+) sign shows addition. So (xy) and (x+y) are different expressions.

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Question 80/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (6x-2(3x-5)) का सरल रूप क्या है?

What is the simplified form of (6x-2(3x-5))?

Explanation opens after your attempt
Correct Answer

A. (10)

Explanation

Simple Explanation

(6x-2(3x-5)=6x-6x+10=10)। समान पद कट सकते हैं इसलिए अंतिम उत्तर नियतांक हो सकता है। / (6x-2(3x-5)=6x-6x+10=10). Like terms can cancel, so the final answer may be a constant.

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Question 81/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(3) लगातार पूर्णांकों में पहला (n) है। उनका योग किस व्यंजक से दर्शेगा?

The first of (3) consecutive integers is (n). Which expression represents their sum?

Explanation opens after your attempt
Correct Answer

B. (3n+3)

Explanation

Simple Explanation

तीन पूर्णांक (n), (n+1), और (n+2) होंगे। उनका योग (3n+3) है। / The three integers are (n), (n+1), and (n+2). Their sum is (3n+3).

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Question 82/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

\(2x^2-3x^2=-x^2\) और (5x+x=6x)। अलग घात वाले पदों को अलग जोड़ें। / \(2x^2-3x^2=-x^2\) and (5x+x=6x). Combine terms with different powers separately.

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Question 83/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में \(4a^2b\) और \(-7a^2b\) का अंतर (4a-2b-\(-7a^2b\)) सही है?

Which option correctly gives the difference (4a-2b-\(-7a^2b\))?

Explanation opens after your attempt
Correct Answer

B. \(11a^2b\)

Explanation

Simple Explanation

ऋणात्मक पद घटाने का अर्थ जोड़ना है। इसलिए \(4a^2b+7a^2b=11a^2b\)। / Subtracting a negative term means addition. So \(4a^2b+7a^2b=11a^2b\).

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Question 84/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

(2(3+4)-32=14-9=5)। पहले कोष्ठक और घात का मान निकालें। / (2(3+4)-32=14-9=5). Evaluate brackets and powers first.

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Question 85/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा व्यंजक (x) के तीन गुने और (y) के दोगुने के योग को दर्शाता है?

Which expression represents the sum of three times (x) and twice (y)?

Explanation opens after your attempt
Correct Answer

B. (3x+2y)

Explanation

Simple Explanation

(x) का तीन गुना (3x) और (y) का दोगुना (2y) है। उनका योग (3x+2y) है। / Three times (x) is (3x) and twice (y) is (2y). Their sum is (3x+2y).

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Question 86/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (10-3(2-z)) का सरल रूप क्या है?

What is the simplified form of (10-3(2-z))?

Explanation opens after your attempt
Correct Answer

C. (4+3z)

Explanation

Simple Explanation

(10-3(2-z)=10-6+3z=4+3z)। ऋण चिह्न को कोष्ठक के हर पद पर लागू करें। / (10-3(2-z)=10-6+3z=4+3z). Apply the negative sign to every term in the bracket.

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Question 87/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(3x^2y-2xy^2\) में पद \(3x^2y\) और \(-2xy^2\) कैसे पद हैं?

In the expression \(3x^2y-2xy^2\), what type of terms are \(3x^2y\) and \(-2xy^2\)?

Explanation opens after your attempt
Correct Answer

B. असमान पदUnlike terms

Explanation

Simple Explanation

दोनों में चर हैं पर घातों का क्रम अलग है। इसलिए वे असमान पद हैं। / Both have variables, but their powers are different. Therefore they are unlike terms.

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Question 88/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि एक संख्या (x) है और दूसरी संख्या उससे (6) अधिक है, तो दोनों का योग क्या होगा?

If one number is (x) and another number is (6) more than it, what is their sum?

Explanation opens after your attempt
Correct Answer

A. (2x+6)

Explanation

Simple Explanation

दूसरी संख्या (x+6) है। योग (x+(x+6)=2x+6) होगा। / The second number is (x+6). The sum is (x+(x+6)=2x+6).

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Question 89/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

A. (-3x+4y)

Explanation

Simple Explanation

(2x-5x=-3x) और (3y+y=4y)। इसलिए सरल रूप (-3x+4y) है। / (2x-5x=-3x) and (3y+y=4y). So the simplified form is (-3x+4y).

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Question 90/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा व्यंजक (x) को (3) से घटाकर परिणाम को (5) से गुणा करता है?

Which expression subtracts (3) from (x) and then multiplies the result by (5)?

Explanation opens after your attempt
Correct Answer

C. (5(x-3))

Explanation

Simple Explanation

पहले (x-3) बनता है और फिर पूरे परिणाम को (5) से गुणा किया जाता है। इसलिए (5(x-3)) सही है। / First (x-3) is formed, and then the whole result is multiplied by (5). So (5(x-3)) is correct.

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Question 91/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

\(a^2-b^2=4^2-2^2=16-4=12\)। दोनों वर्ग अलग-अलग निकालें। / \(a^2-b^2=4^2-2^2=16-4=12\). Find both squares separately.

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Question 92/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

B. \(\frac{3x}{2}\)

Explanation

Simple Explanation

(x) को \(\frac{2x}{2}\) लिख सकते हैं। इसलिए \(\frac{x}{2}+x=\frac{3x}{2}\)। / We can write (x) as \(\frac{2x}{2}\). Thus \(\frac{x}{2}+x=\frac{3x}{2}\).

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Question 93/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

A. (8x-1)

Explanation

Simple Explanation

(4(2x-1)=8x-4) और (8x-4+3=8x-1)। पहले कोष्ठक खोलें। / (4(2x-1)=8x-4) and (8x-4+3=8x-1). Expand the bracket first.

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Question 94/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

B. (4x-3)

Explanation

Simple Explanation

योग ((3x+2)+(x-5)=4x-3) है। समान पदों को जोड़ें और नियतांक अलग जोड़ें। / The sum is ((3x+2)+(x-5)=4x-3). Combine like terms and constants separately.

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Question 95/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (7x-4) में से (2x+3) घटाने पर क्या मिलेगा?

What is obtained by subtracting (2x+3) from (7x-4)?

Explanation opens after your attempt
Correct Answer

C. (5x-7)

Explanation

Simple Explanation

((7x-4)-(2x+3)=7x-4-2x-3=5x-7)। घटाए गए व्यंजक के दोनों पदों का चिह्न बदलें। / ((7x-4)-(2x+3)=7x-4-2x-3=5x-7). Change the signs of both terms of the subtracted expression.

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Question 96/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

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

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

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

\(x^3+x=2^3+2=8+2=10\)। घात का मान पहले निकालना चाहिए। / \(x^3+x=2^3+2=8+2=10\). The power should be evaluated first.

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Question 97/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में (-2x(3x-4)) का सही विस्तार है?

Which option gives the correct expansion of (-2x(3x-4))?

Explanation opens after your attempt
Correct Answer

A. \(-6x^2+8x\)

Explanation

Simple Explanation

(-2x) को (3x) और (-4) दोनों से गुणा करें। इससे \(-6x^2+8x\) मिलेगा। / Multiply (-2x) by both (3x) and (-4). This gives \(-6x^2+8x\).

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Question 98/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(x) और (4) के योग का वर्ग सीधे कौन सा व्यंजक दिखाता है?

Which expression directly shows the square of the sum of (x) and (4)?

Explanation opens after your attempt
Correct Answer

D. ((x+4)2)

Explanation

Simple Explanation

पहले योग (x+4) लिया जाता है। फिर पूरे योग का वर्ग करने के लिए ((x+4)2) लिखते हैं। / First the sum (x+4) is taken. To square the whole sum, we write ((x+4)2).

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Question 99/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2x+3y+4z) में (y) का गुणांक क्या है?

What is the coefficient of (y) in (2x+3y+4z)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

(y) के साथ गुणा हुई संख्या (3) है। इसलिए (y) का गुणांक (3) है। / The number multiplied with (y) is (3). Therefore the coefficient of (y) is (3).

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Question 100/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (r=5), तो \(\frac{r+7}{2}\) का मान क्या होगा?

If (r=5), what is the value of \(\frac{r+7}{2}\)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

(r=5) रखने पर \(\frac{r+7}{2}=\frac{12}{2}=6\)। भिन्न में पहले हर और अंश को सही पहचानें। / Putting (r=5), \(\frac{r+7}{2}=\frac{12}{2}=6\). In a fraction, identify numerator and denominator correctly.

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Question 101/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(4(2x-3)+x) को सरल करने पर कौन-सा व्यंजक मिलेगा?

Which expression is obtained after simplifying (4(2x-3)+x)?

Explanation opens after your attempt
Correct Answer

C. (9x-12)

Explanation

Simple Explanation

पहले (4(2x-3)=8x-12) करें और फिर (x) जोड़ें। समान पद मिलाने पर (9x-12) मिलता है। / First expand (4(2x-3)=8x-12) and then add (x). Combining like terms gives (9x-12).

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Question 102/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(5(2x-1)+3) को सरल करने पर कौन-सा व्यंजक मिलेगा?

Which expression is obtained after simplifying (5(2x-1)+3)?

Explanation opens after your attempt
Correct Answer

D. (10x-2)

Explanation

Simple Explanation

(5(2x-1)=10x-5) और (3) जोड़ने पर (10x-2) मिलता है। कोष्ठक पहले खोलें। / (5(2x-1)=10x-5) and adding (3) gives (10x-2). Open brackets first.

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Question 103/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

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

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

Explanation opens after your attempt
Correct Answer

A. (10)

Explanation

Simple Explanation

मान रखने पर ((-2)2+2(3)=4+6=10)। ऋणात्मक संख्या का वर्ग करते समय कोष्ठक लगाएँ। / Substituting gives ((-2)2+2(3)=4+6=10). Use brackets while squaring a negative number.

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Question 104/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

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

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

Explanation opens after your attempt
Correct Answer

B. (19)

Explanation

Simple Explanation

((-3)2-2(-3)+4=9+6+4=19)। ऋणात्मक मान रखते समय कोष्ठक लगाएँ। / ((-3)2-2(-3)+4=9+6+4=19). Use brackets while substituting a negative value.

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Question 105/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(7xy-2x+5xy+3x) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (7xy-2x+5xy+3x)?

Explanation opens after your attempt
Correct Answer

D. (12xy+x)

Explanation

Simple Explanation

(7xy+5xy=12xy) और (-2x+3x=x) है। समान चर भाग वाले पदों को साथ मिलाएँ। / (7xy+5xy=12xy) and (-2x+3x=x). Combine terms with the same variable part.

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Question 106/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(6a+4b-2a+5b) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (6a+4b-2a+5b)?

Explanation opens after your attempt
Correct Answer

A. (4a+9b)

Explanation

Simple Explanation

(6a-2a=4a) और (4b+5b=9b)। समान चर वाले पदों को अलग-अलग मिलाएँ। / (6a-2a=4a) and (4b+5b=9b). Combine terms with the same variable separately.

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Question 107/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किसी संख्या (n) के वर्ग से उसके (5) गुने को घटाने का व्यंजक कौन-सा है?

Which expression represents subtracting (5) times a number (n) from the square of that number?

Explanation opens after your attempt
Correct Answer

B. \(n^2-5n\)

Explanation

Simple Explanation

संख्या का वर्ग \(n^2\) है और उसका (5) गुना (5n) है। घटाने पर \(n^2-5n\) मिलेगा। / The square of the number is \(n^2\) and (5) times it is (5n). Subtracting gives \(n^2-5n\).

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Question 108/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किसी संख्या (p) के वर्ग में उसके (4) गुने को जोड़ने का व्यंजक कौन-सा है?

Which expression represents adding four times a number (p) to its square?

Explanation opens after your attempt
Correct Answer

C. \(p^2+4p\)

Explanation

Simple Explanation

संख्या का वर्ग \(p^2\) है और उसका (4) गुना (4p) है। जोड़ने पर \(p^2+4p\) मिलता है। / The square of the number is \(p^2\) and four times it is (4p). Adding gives \(p^2+4p\).

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Question 109/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(3p^2-4p+6-2p^2+p\) में सरल करने के बाद \(p^2\) का गुणांक क्या होगा?

After simplifying \(3p^2-4p+6-2p^2+p\), what will be the coefficient of \(p^2\)?

Explanation opens after your attempt
Correct Answer

C. (1)

Explanation

Simple Explanation

\(3p^2-2p^2=p^2\) इसलिए \(p^2\) का गुणांक (1) है। गुणांक को चिन्ह सहित पहचानें। / \(3p^2-2p^2=p^2\), so the coefficient of \(p^2\) is (1). Identify coefficients with their signs.

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Question 110/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(9m^2-3m^2+7m-2\) में \(m^2\) पदों को मिलाने पर क्या मिलेगा?

What is obtained by combining the \(m^2\) terms in \(9m^2-3m^2+7m-2\)?

Explanation opens after your attempt
Correct Answer

D. \(6m^2\)

Explanation

Simple Explanation

\(9m^2-3m^2=6m^2\)। केवल समान घात वाले पदों को मिलाएँ। / \(9m^2-3m^2=6m^2\). Combine only terms with the same power.

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Question 111/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (a=2) और (b=-4) हो तो (ab+3a) का मान क्या होगा?

If (a=2) and (b=-4), what is the value of (ab+3a)?

Explanation opens after your attempt
Correct Answer

A. (-2)

Explanation

Simple Explanation

(ab+3a=2(-4)+3(2)=-8+6=-2)। पहले गुणा करें फिर जोड़ें। / (ab+3a=2(-4)+3(2)=-8+6=-2). Multiply first and then add.

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Question 112/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(8x-(3x-5)) को सरल करने पर कौन-सा व्यंजक मिलेगा?

Which expression is obtained after simplifying (8x-(3x-5))?

Explanation opens after your attempt
Correct Answer

B. (5x+5)

Explanation

Simple Explanation

कोष्ठक से पहले ऋण चिन्ह हो तो अंदर के चिन्ह बदलते हैं। इसलिए (8x-3x+5=5x+5)। / When a minus sign is before the bracket, signs inside change. So (8x-3x+5=5x+5).

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Question 113/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा जोड़ा असमान पदों का है?

Which pair consists of unlike terms?

Explanation opens after your attempt
Correct Answer

C. \(4u^2\) और (4u)\(4u^2\) and (4u)

Explanation

Simple Explanation

\(4u^2\) और (4u) में (u) की घात अलग है। घात अलग हो तो पद असमान होते हैं। / In \(4u^2\) and (4u), the power of (u) is different. Different powers make terms unlike.

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Question 114/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(2y^2+5y-7+3y^2-2y\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(2y^2+5y-7+3y^2-2y\)?

Explanation opens after your attempt
Correct Answer

D. \(5y^2+3y-7\)

Explanation

Simple Explanation

\(2y^2+3y^2=5y^2\) और (5y-2y=3y)। स्थिर पद (-7) अलग रहता है। / \(2y^2+3y^2=5y^2\) and (5y-2y=3y). The constant term (-7) remains separate.

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Question 115/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(12p^2q\) में (q) की घात क्या है?

What is the power of (q) in \(12p^2q\)?

Explanation opens after your attempt
Correct Answer

A. (1)

Explanation

Simple Explanation

(q) पर कोई घात लिखी नहीं है इसलिए उसकी घात (1) मानी जाती है। अदृश्य घात को (1) समझें। / No power is written on (q), so its power is taken as (1). Treat an invisible power as (1).

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Question 116/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा व्यंजक (x) और (y) के योग से (6) कम को दर्शाता है?

Which expression represents (6) less than the sum of (x) and (y)?

Explanation opens after your attempt
Correct Answer

C. (x+y-6)

Explanation

Simple Explanation

पहले योग (x+y) है और उससे (6) घटाना है। इसलिए (x+y-6) सही है। / First the sum is (x+y), and (6) is subtracted from it. So (x+y-6) is correct.

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Question 117/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(4(3n+2)-2(n+5)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (4(3n+2)-2(n+5))?

Explanation opens after your attempt
Correct Answer

A. (10n-2)

Explanation

Simple Explanation

खोलने पर (12n+8-2n-10) मिलता है। समान पद मिलाकर (10n-2) बनेगा। / Expanding gives (12n+8-2n-10). Combining like terms gives (10n-2).

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Question 118/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(3ab^2\) और \(-10ab^2\) के बारे में सही कथन कौन-सा है?

Which statement is correct about \(3ab^2\) and \(-10ab^2\)?

Explanation opens after your attempt
Correct Answer

C. ये समान पद हैंThey are like terms

Explanation

Simple Explanation

दोनों पदों का चर भाग \(ab^2\) समान है। गुणांक अलग होने पर भी पद समान हो सकते हैं। / Both terms have the same variable part \(ab^2\). Terms can be like even if coefficients are different.

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Question 119/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (t=5) हो तो \(t^2-4t+6\) का मान क्या होगा?

If (t=5), what is the value of \(t^2-4t+6\)?

Explanation opens after your attempt
Correct Answer

B. (11)

Explanation

Simple Explanation

(52-4(5)+6=25-20+6=11)। पहले घात फिर गुणा करें। / (52-4(5)+6=25-20+6=11). Do powers first and then multiplication.

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Question 120/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(15xy-4x+6xy+9x) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (15xy-4x+6xy+9x)?

Explanation opens after your attempt
Correct Answer

A. (21xy+5x)

Explanation

Simple Explanation

(15xy+6xy=21xy) और (-4x+9x=5x)। समान चर भाग वाले पद साथ मिलाएँ। / (15xy+6xy=21xy) and (-4x+9x=5x). Combine terms with the same variable part.

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Question 121/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(-6x^2+11x-3\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(-6x^2+11x-3\)?

Explanation opens after your attempt
Correct Answer

C. (-6)

Explanation

Simple Explanation

\(x^2\) के साथ (-6) गुणा हो रहा है। गुणांक हमेशा चिन्ह सहित लिया जाता है। / \(x^2\) is multiplied by (-6). A coefficient is always taken with its sign.

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Question 122/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा व्यंजक (r) के दोगुने और (s) के तीन गुने के योग को दर्शाता है?

Which expression represents the sum of twice (r) and three times (s)?

Explanation opens after your attempt
Correct Answer

D. (2r+3s)

Explanation

Simple Explanation

(r) का दोगुना (2r) और (s) का तीन गुना (3s) है। योग (2r+3s) होगा। / Twice (r) is (2r) and three times (s) is (3s). Their sum is (2r+3s).

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Question 123/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

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

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

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

(u-2-uv=(-2)2-(-2)(1)=4+2=6)। ऋणात्मक गुणन का चिन्ह ध्यान से देखें। / (u-2-uv=(-2)2-(-2)(1)=4+2=6). Watch the sign in negative multiplication carefully.

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Question 124/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(2x-2(3x-4)) को खोलने पर कौन-सा व्यंजक मिलेगा?

Which expression is obtained by expanding (2x-2(3x-4))?

Explanation opens after your attempt
Correct Answer

B. \(6x^3-8x^2\)

Explanation

Simple Explanation

\(2x^2\) को (3x) और (-4) दोनों से गुणा करें। इससे \(6x^3-8x^2\) मिलता है। / Multiply \(2x^2\) by both (3x) and (-4). This gives \(6x^3-8x^2\).

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Question 125/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(5p^2q-3pq+2p^2q\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(5p^2q-3pq+2p^2q\)?

Explanation opens after your attempt
Correct Answer

A. \(7p^2q-3pq\)

Explanation

Simple Explanation

\(5p^2q\) और \(2p^2q\) समान पद हैं। (-3pq) अलग चर भाग वाला पद है। / \(5p^2q\) and \(2p^2q\) are like terms. (-3pq) has a different variable part.

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Question 126/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(4x+7-9x+2) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (4x+7-9x+2)?

Explanation opens after your attempt
Correct Answer

B. (-5x+9)

Explanation

Simple Explanation

(4x-9x=-5x) और (7+2=9)। चर और स्थिर पद अलग-अलग मिलाएँ। / (4x-9x=-5x) and (7+2=9). Combine variable and constant terms separately.

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Question 127/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस व्यंजक का सरल रूप (7x-14) है?

Which expression has the simplified form (7x-14)?

Explanation opens after your attempt
Correct Answer

C. (7(x-2))

Explanation

Simple Explanation

(7(x-2)) खोलने पर (7x-14) मिलता है। विकल्प जाँचने के लिए वितरण नियम लगाएँ। / Expanding (7(x-2)) gives (7x-14). Use the distributive rule to check options.

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Question 128/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(3x^2y^2\) में कुल चर कौन-कौन से हैं?

Which variables are present in \(3x^2y^2\)?

Explanation opens after your attempt
Correct Answer

C. (x) और (y)(x) and (y)

Explanation

Simple Explanation

इस पद में चर (x) और (y) हैं। गुणांक और घात चर नहीं होते। / The variables in this term are (x) and (y). Coefficients and powers are not variables.

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Question 129/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

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

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

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

(2(3+4)-32=14-9=5)। पहले कोष्ठक और घात का मान निकालें। / (2(3+4)-32=14-9=5). Evaluate brackets and powers first.

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Question 130/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(11a^2-4a+6a-5a^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(11a^2-4a+6a-5a^2\)?

Explanation opens after your attempt
Correct Answer

B. \(6a^2+2a\)

Explanation

Simple Explanation

\(11a^2-5a^2=6a^2\) और (-4a+6a=2a)। घात के अनुसार पद मिलाएँ। / \(11a^2-5a^2=6a^2\) and (-4a+6a=2a). Combine terms according to powers.

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Question 131/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा व्यंजक (x) के वर्ग और (5) के योग के दोगुने को दर्शाता है?

Which expression represents twice the sum of the square of (x) and (5)?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

पहले योग \(x^2+5\) बनेगा और फिर उसका दोगुना लिया जाएगा। इसलिए (2\(x^2+5\)) सही है। / First form the sum \(x^2+5\), then take twice of it. So (2\(x^2+5\)) is correct.

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Question 132/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(7(2r-3)+4(r+1)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (7(2r-3)+4(r+1))?

Explanation opens after your attempt
Correct Answer

B. (18r-17)

Explanation

Simple Explanation

खोलने पर (14r-21+4r+4) मिलता है। समान पद मिलाकर (18r-17) बनेगा। / Expanding gives (14r-21+4r+4). Combining like terms gives (18r-17).

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Question 133/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(2ab+5a^2b-7ab+3a^2b\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(2ab+5a^2b-7ab+3a^2b\)?

Explanation opens after your attempt
Correct Answer

A. \(8a^2b-5ab\)

Explanation

Simple Explanation

\(5a^2b+3a^2b=8a^2b\) और (2ab-7ab=-5ab)। समान चर भाग वाले पद ही मिलते हैं। / \(5a^2b+3a^2b=8a^2b\) and (2ab-7ab=-5ab). Only terms with the same variable part combine.

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Question 134/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

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

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

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

(22+2(-1)+(-1)2=4-2+1=3)। दोनों चर के मान सावधानी से रखें। / (22+2(-1)+(-1)2=4-2+1=3). Substitute both variables carefully.

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Question 135/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(5x^2-3x+2\) में रैखिक पद कौन-सा है?

Which is the linear term in \(5x^2-3x+2\)?

Explanation opens after your attempt
Correct Answer

C. (-3x)

Explanation

Simple Explanation

रैखिक पद में चर की घात (1) होती है। यहाँ रैखिक पद (-3x) है। / A linear term has the variable with power (1). Here the linear term is (-3x).

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Question 136/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा व्यंजक (2(a+b)-a) के बराबर है?

Which expression is equal to (2(a+b)-a)?

Explanation opens after your attempt
Correct Answer

A. (a+2b)

Explanation

Simple Explanation

(2(a+b)-a=2a+2b-a=a+2b)। पहले कोष्ठक खोलें फिर समान पद मिलाएँ। / (2(a+b)-a=2a+2b-a=a+2b). Expand first and then combine like terms.

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Question 137/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(4s^3-2s^2+s-8\) में सबसे बड़ी घात क्या है?

What is the highest power in \(4s^3-2s^2+s-8\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

सबसे बड़ी घात \(s^3\) में (3) है। स्थिर पद की संख्या को घात न मानें। / The highest power is (3) in \(s^3\). Do not treat the number in the constant term as a power.

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Question 138/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(6x^2y\) में संख्यात्मक गुणांक कौन-सा है?

What is the numerical coefficient in \(6x^2y\)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

संख्यात्मक गुणांक वह संख्या है जो चर भाग से गुणा होती है। यहाँ यह संख्या (6) है। / The numerical coefficient is the number multiplying the variable part. Here this number is (6).

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Question 139/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(3(4x-5)-2(2x+1)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (3(4x-5)-2(2x+1))?

Explanation opens after your attempt
Correct Answer

B. (8x-17)

Explanation

Simple Explanation

खोलने पर (12x-15-4x-2) मिलता है। समान पद मिलाकर (8x-17) बनेगा। / Expanding gives (12x-15-4x-2). Combining like terms gives (8x-17).

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Question 140/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा व्यंजक (m) और (n) के अंतर के (5) गुने को दर्शाता है?

Which expression represents five times the difference of (m) and (n)?

Explanation opens after your attempt
Correct Answer

C. (5(m-n))

Explanation

Simple Explanation

पहले अंतर (m-n) बनता है और फिर उसे (5) से गुणा करते हैं। इसलिए (5(m-n)) सही है। / First the difference (m-n) is formed and then it is multiplied by (5). So (5(m-n)) is correct.

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Question 141/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(10z^2+z-4z^2-6z+3\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(10z^2+z-4z^2-6z+3\)?

Explanation opens after your attempt
Correct Answer

A. \(6z^2-5z+3\)

Explanation

Simple Explanation

\(10z^2-4z^2=6z^2\) और (z-6z=-5z)। स्थिर पद (3) अलग रहता है। / \(10z^2-4z^2=6z^2\) and (z-6z=-5z). The constant term (3) remains separate.

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Question 142/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

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

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

Explanation opens after your attempt
Correct Answer

A. (-12)

Explanation

Simple Explanation

(2(-2)3+(-2)2=2(-8)+4=-12)। विषम घात में ऋण चिन्ह बचता है। / (2(-2)3+(-2)2=2(-8)+4=-12). A negative sign remains in an odd power.

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Question 143/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(a^2b\) और \(ab^2\) समान पद क्यों नहीं हैं?

Why are \(a^2b\) and \(ab^2\) not like terms?

Explanation opens after your attempt
Correct Answer

C. क्योंकि (a) और (b) की घातें अलग व्यवस्था में हैंBecause powers of (a) and (b) are arranged differently

Explanation

Simple Explanation

समान पदों में प्रत्येक चर की घात समान होनी चाहिए। यहाँ (a) और (b) की घातें अलग हैं। / Like terms must have the same power of each variable. Here the powers of (a) and (b) are different.

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Question 144/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(2x-3(4-x)) को सरल करने पर कौन-सा व्यंजक मिलेगा?

Which expression is obtained after simplifying (2x-3(4-x))?

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Correct Answer

A. (5x-12)

Explanation

Simple Explanation

(-3(4-x)=-12+3x), इसलिए (2x-12+3x=5x-12)। ऋणात्मक गुणन में चिन्ह ध्यान से बदलें। / (-3(4-x)=-12+3x), so (2x-12+3x=5x-12). Change signs carefully in negative multiplication.

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Question 145/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस व्यंजक में (rs) का गुणांक (8) है?

In which expression is the coefficient of (rs) equal to (8)?

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Correct Answer

B. (8rs-5r)

Explanation

Simple Explanation

(8rs-5r) में (rs) के साथ (8) गुणा हो रहा है। इसलिए (rs) का गुणांक (8) है। / In (8rs-5r), (rs) is multiplied by (8). Therefore, the coefficient of (rs) is (8).

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Question 146/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(2x^2+3xy-4x^2+5xy\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(2x^2+3xy-4x^2+5xy\)?

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Correct Answer

A. \(-2x^2+8xy\)

Explanation

Simple Explanation

\(2x^2-4x^2=-2x^2\) और (3xy+5xy=8xy)। समान चर भाग वाले पदों को मिलाएँ। / \(2x^2-4x^2=-2x^2\) and (3xy+5xy=8xy). Combine terms with the same variable part.

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Question 147/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

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

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

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Correct Answer

B. (27)

Explanation

Simple Explanation

(2(1)+52=2+25=27)। पहले घात और गुणा का मान निकालें। / (2(1)+52=2+25=27). Evaluate powers and multiplication first.

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Question 148/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा विकल्प (6(x+1)-x) के बराबर है?

Which option is equal to (6(x+1)-x)?

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Correct Answer

C. (5x+6)

Explanation

Simple Explanation

(6(x+1)-x=6x+6-x=5x+6)। समान पद मिलाकर बराबर रूप पहचानें। / (6(x+1)-x=6x+6-x=5x+6). Combine like terms to identify the equivalent form.

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Question 149/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(x^2+x+x^2+x+1\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(x^2+x+x^2+x+1\)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+2x+1\)

Explanation

Simple Explanation

दो \(x^2\) पद \(2x^2\) बनाते हैं और दो (x) पद (2x) बनाते हैं। स्थिर पद (1) अलग रहता है। / The two \(x^2\) terms make \(2x^2\), and the two (x) terms make (2x). The constant (1) remains separate.

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Question 150/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस व्यंजक में (x) की घात (1) और (y) की घात (2) है?

In which expression is the power of (x) equal to (1) and the power of (y) equal to (2)?

Explanation opens after your attempt
Correct Answer

B. \(xy^2\)

Explanation

Simple Explanation

\(xy^2\) में (x) की अदृश्य घात (1) और (y) की घात (2) है। अदृश्य घात को (1) मानें। / In \(xy^2\), the invisible power of (x) is (1) and the power of (y) is (2). Treat an invisible power as (1).

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Question 151/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

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

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

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

(\frac{(-4)2+(-4)}{2}=\frac{16-4}{2}=6)। भिन्न में पहले अंश को सरल करें। / (\frac{(-4)2+(-4)}{2}=\frac{16-4}{2}=6). Simplify the numerator first in a fraction.

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Question 152/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(3(a-b)+2(2a+b)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (3(a-b)+2(2a+b))?

Explanation opens after your attempt
Correct Answer

B. (7a+b)

Explanation

Simple Explanation

खोलने पर (3a-3b+4a+2b) मिलता है। समान पद मिलाकर (7a-b) नहीं बल्कि (7a-b) मिलता है। / Expanding gives (3a-3b+4a+2b). Combining like terms gives (7a-b), not (7a+b).

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Question 153/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(4x^2-6xy+3x^2+xy\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(4x^2-6xy+3x^2+xy\)?

Explanation opens after your attempt
Correct Answer

B. \(7x^2-5xy\)

Explanation

Simple Explanation

\(4x^2+3x^2=7x^2\) और (-6xy+xy=-5xy)। समान चर भाग वाले पदों को मिलाएँ। / \(4x^2+3x^2=7x^2\) and (-6xy+xy=-5xy). Combine terms with the same variable part.

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Question 154/154 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस विकल्प में \(2x^2+5x-1\) का स्थिर पद सही है?

Which option correctly gives the constant term of \(2x^2+5x-1\)?

Explanation opens after your attempt
Correct Answer

C. (-1)

Explanation

Simple Explanation

स्थिर पद में कोई चर नहीं होता और उसे चिन्ह सहित लिखा जाता है। यहाँ स्थिर पद (-1) है। / A constant term has no variable and is written with its sign. Here the constant term is (-1).

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