व्यंजक (2x-3) में (x) का गुणांक क्या है?
What is the coefficient of (x) in the expression (2x-3)?
#algebraic_expressions
#coefficient
#easy
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A (2)
B (-3)
C (x)
D (1)
Explanation opens after your attempt
Step 1
Concept
The number multiplied with the variable is the coefficient. Here the coefficient of (x) is (2).
Step 2
Why this answer is correct
The correct answer is A. (2). The number multiplied with the variable is the coefficient. Here the coefficient of (x) is (2).
Step 3
Exam Tip
चर के साथ गुणा हुई संख्या गुणांक होती है। यहां (x) का गुणांक (2) है।
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यदि (x=2), तो (4x+3) का मान क्या होगा?
If (x=2), what is the value of (4x+3)?
#algebraic_expressions
#evaluation
#easy
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A (8)
B (9)
C (11)
D (14)
Explanation opens after your attempt
Step 1
Concept
Putting (x=2), (4x+3=4(2)+3=11). Multiply first and then add.
Step 2
Why this answer is correct
The correct answer is C. (11). Putting (x=2), (4x+3=4(2)+3=11). Multiply first and then add.
Step 3
Exam Tip
(x=2) रखने पर (4x+3=4(2)+3=11)। पहले गुणा करें फिर जोड़ें।
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व्यंजक (-7a+5) में नियतांक पद कौन सा है?
In the expression (-7a+5), which is the constant term?
#algebraic_expressions
#constant_term
#easy
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A (-7)
B (a)
C (-7a)
D (5)
Explanation opens after your attempt
Step 1
Concept
A constant term has no variable. Therefore (5) is the constant term.
Step 2
Why this answer is correct
The correct answer is D. (5). A constant term has no variable. Therefore (5) is the constant term.
Step 3
Exam Tip
नियतांक पद में कोई चर नहीं होता। इसलिए (5) नियतांक पद है।
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व्यंजक (6a-2a+5) का सरल रूप क्या है?
What is the simplified form of (6a-2a+5)?
#algebraic_expressions
#simplification
#like_terms
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A (8a+5)
B (4a+5)
C (4a-5)
D (6a+3)
Explanation opens after your attempt
Step 1
Concept
For like terms, (6a-2a=4a). So the simplified form is (4a+5).
Step 2
Why this answer is correct
The correct answer is B. (4a+5). For like terms, (6a-2a=4a). So the simplified form is (4a+5).
Step 3
Exam Tip
समान पदों में (6a-2a=4a) होता है। इसलिए सरल रूप (4a+5) है।
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व्यंजक \(x^2+2x-1\) में कितने पद हैं?
How many terms are there in \(x^2+2x-1\)?
#algebraic_expressions
#terms
#trinomial
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A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The terms are \(x^2\), (2x) and (-1). So there are (3) terms.
Step 2
Why this answer is correct
The correct answer is C. (3). The terms are \(x^2\), (2x) and (-1). So there are (3) terms.
Step 3
Exam Tip
पद \(x^2\), (2x) और (-1) हैं। इसलिए कुल (3) पद हैं।
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(m) और (n) के गुणनफल में से (7) घटाने का सही व्यंजक कौन सा है?
Which expression represents subtracting (7) from the product of (m) and (n)?
#algebraic_expressions
#word_to_expression
#product
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A (m+n-7)
B (7-mn)
C (7mn)
D (mn-7)
Explanation opens after your attempt
Step 1
Concept
The product of (m) and (n) is (mn). Subtracting (7) from it gives (mn-7).
Step 2
Why this answer is correct
The correct answer is D. (mn-7). The product of (m) and (n) is (mn). Subtracting (7) from it gives (mn-7).
Step 3
Exam Tip
(m) और (n) का गुणनफल (mn) है। उसमें से (7) घटाने पर (mn-7) मिलता है।
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निम्न में से कौन सा व्यंजक एकपदी है?
Which of the following expressions is a monomial?
#algebraic_expressions
#monomial
#easy
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A (p+2)
B \(-9p^2\)
C \(p^2+p\)
D (p+q+1)
Explanation opens after your attempt
Correct Answer
B. \(-9p^2\)
Step 1
Concept
A monomial has only one term. \(-9p^2\) is one term.
Step 2
Why this answer is correct
The correct answer is B. \(-9p^2\). A monomial has only one term. \(-9p^2\) is one term.
Step 3
Exam Tip
एकपदी में केवल एक पद होता है। \(-9p^2\) एक ही पद है।
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व्यंजक (9-5x) में (x) का गुणांक क्या है?
What is the coefficient of (x) in the expression (9-5x)?
#algebraic_expressions
#coefficient
#negative_coefficient
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A (-5)
B (5)
C (9)
D (-9)
Explanation opens after your attempt
Step 1
Concept
The term attached to (x) is (-5x). Therefore the coefficient of (x) is (-5).
Step 2
Why this answer is correct
The correct answer is A. (-5). The term attached to (x) is (-5x). Therefore the coefficient of (x) is (-5).
Step 3
Exam Tip
(x) के साथ लगा पद (-5x) है। इसलिए (x) का गुणांक (-5) है।
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व्यंजक \(2p^2-3q+8\) में कुल कितने पद हैं?
How many terms are there in the expression \(2p^2-3q+8\)?
#algebraic_expressions
#terms
#counting
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A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The terms are \(2p^2\), (-3q), and (8). So there are (3) terms.
Step 2
Why this answer is correct
The correct answer is C. (3). The terms are \(2p^2\), (-3q), and (8). So there are (3) terms.
Step 3
Exam Tip
पद \(2p^2\), (-3q) और (8) हैं। इसलिए कुल (3) पद हैं।
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व्यंजक (5r+2r-r) का सरल रूप क्या है?
What is the simplified form of (5r+2r-r)?
#algebraic_expressions
#simplification
#easy
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A (8r)
B (6r)
C \(7r^2\)
D (5r)
Explanation opens after your attempt
Step 1
Concept
The coefficients are (5+2-1=6). So the simplified form is (6r).
Step 2
Why this answer is correct
The correct answer is B. (6r). The coefficients are (5+2-1=6). So the simplified form is (6r).
Step 3
Exam Tip
गुणांक (5+2-1=6) हैं। इसलिए सरल रूप (6r) है।
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व्यंजक (8s-3s+4) का सरल रूप क्या है?
What is the simplified form of (8s-3s+4)?
#algebraic_expressions
#combine_like_terms
#easy
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A (11s+4)
B (5s-4)
C (8s+1)
D (5s+4)
Explanation opens after your attempt
Step 1
Concept
(8s-3s=5s), and (4) remains separate. So (5s+4) is correct.
Step 2
Why this answer is correct
The correct answer is D. (5s+4). (8s-3s=5s), and (4) remains separate. So (5s+4) is correct.
Step 3
Exam Tip
(8s-3s=5s) और (4) अलग रहता है। इसलिए (5s+4) सही है।
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यदि (x=5), तो (3x-2) का मान क्या होगा?
If (x=5), what is the value of (3x-2)?
#algebraic_expressions
#substitution
#easy
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A (10)
B (13)
C (15)
D (17)
Explanation opens after your attempt
Step 1
Concept
Putting (x=5), (3x-2=3(5)-2=13). Multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is B. (13). Putting (x=5), (3x-2=3(5)-2=13). Multiply first and then subtract.
Step 3
Exam Tip
(x=5) रखने पर (3x-2=3(5)-2=13)। पहले गुणा करें फिर घटाएं।
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यदि (y=4), तो \(y^2-1\) का मान क्या होगा?
If (y=4), what is the value of \(y^2-1\)?
#algebraic_expressions
#evaluation
#easy
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A (15)
B (16)
C (17)
D (8)
Explanation opens after your attempt
Step 1
Concept
Putting (y=4), \(y^2-1=4^2-1=15\). Evaluate the power first.
Step 2
Why this answer is correct
The correct answer is A. (15). Putting (y=4), \(y^2-1=4^2-1=15\). Evaluate the power first.
Step 3
Exam Tip
(y=4) रखने पर \(y^2-1=4^2-1=15\)। घात का मान पहले निकालें।
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(n) और (12) के योग को बीजीय रूप में कैसे लिखेंगे?
How will you write the sum of (n) and (12) in algebraic form?
#algebraic_expressions
#word_to_expression
#easy
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A (12-n)
B (12n)
C (n+12)
D (n-12)
Explanation opens after your attempt
Step 1
Concept
Sum means addition. Therefore the correct expression is (n+12).
Step 2
Why this answer is correct
The correct answer is C. (n+12). Sum means addition. Therefore the correct expression is (n+12).
Step 3
Exam Tip
योग का अर्थ जोड़ना है। इसलिए सही व्यंजक (n+12) है।
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(2p) से (5) कम को किस व्यंजक से दर्शाया जाएगा?
Which expression represents (5) less than (2p)?
#algebraic_expressions
#translation
#easy
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A (2p+5)
B (5-2p)
C (10p)
D (2p-5)
Explanation opens after your attempt
Step 1
Concept
(5) less means subtracting (5). So (2p-5) is correct.
Step 2
Why this answer is correct
The correct answer is D. (2p-5). (5) less means subtracting (5). So (2p-5) is correct.
Step 3
Exam Tip
(5) कम का अर्थ (5) घटाना है। इसलिए (2p-5) सही है।
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(7) और (k) के गुणनफल को कैसे लिखेंगे?
How will you write the product of (7) and (k)?
#algebraic_expressions
#product
#easy
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A (7k)
B (7+k)
C (k-7)
D (7-k)
Explanation opens after your attempt
Step 1
Concept
Product means multiplication. Therefore the product of (7) and (k) is (7k).
Step 2
Why this answer is correct
The correct answer is A. (7k). Product means multiplication. Therefore the product of (7) and (k) is (7k).
Step 3
Exam Tip
गुणनफल का अर्थ गुणा करना है। इसलिए (7) और (k) का गुणनफल (7k) है।
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(t) के वर्ग में से (6) घटाने को कैसे लिखेंगे?
How will you write subtracting (6) from the square of (t)?
#algebraic_expressions
#square_expression
#easy
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A (2t-6)
B \(t^2-6\)
C \(t-6^2\)
D \(6-t^2\)
Explanation opens after your attempt
Correct Answer
B. \(t^2-6\)
Step 1
Concept
The square of (t) is \(t^2\). Subtracting (6) gives \(t^2-6\).
Step 2
Why this answer is correct
The correct answer is B. \(t^2-6\). The square of (t) is \(t^2\). Subtracting (6) gives \(t^2-6\).
Step 3
Exam Tip
(t) का वर्ग \(t^2\) है। उसमें से (6) घटाने पर \(t^2-6\) मिलता है।
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व्यंजक (-mn+4) में (mn) का गुणांक क्या है?
What is the coefficient of (mn) in the expression (-mn+4)?
#algebraic_expressions
#negative_coefficient
#easy
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A (1)
B (4)
C (-1)
D (0)
Explanation opens after your attempt
Step 1
Concept
(-mn) means (-1mn). Therefore the coefficient of (mn) is (-1).
Step 2
Why this answer is correct
The correct answer is C. (-1). (-mn) means (-1mn). Therefore the coefficient of (mn) is (-1).
Step 3
Exam Tip
(-mn) का अर्थ (-1mn) है। इसलिए (mn) का गुणांक (-1) है।
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व्यंजक (4x+5y-2z) में कुल कितने चर हैं?
How many variables are there in the expression (4x+5y-2z)?
#algebraic_expressions
#variables
#easy
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A (1)
B (2)
C (4)
D (3)
Explanation opens after your attempt
Step 1
Concept
The variables in this expression are (x), (y), and (z). So there are (3) variables.
Step 2
Why this answer is correct
The correct answer is D. (3). The variables in this expression are (x), (y), and (z). So there are (3) variables.
Step 3
Exam Tip
इस व्यंजक में (x), (y) और (z) चर हैं। इसलिए कुल (3) चर हैं।
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कौन सा नियतांक व्यंजक है?
Which one is a constant expression?
#algebraic_expressions
#constant_expression
#easy
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A (-12)
B (12x)
C (x-12)
D \(x^2+12\)
Explanation opens after your attempt
Step 1
Concept
A constant expression has no variable. (-12) has only a number.
Step 2
Why this answer is correct
The correct answer is A. (-12). A constant expression has no variable. (-12) has only a number.
Step 3
Exam Tip
नियतांक व्यंजक में कोई चर नहीं होता। (-12) में केवल संख्या है।
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पद (11xy) में संख्यात्मक गुणांक क्या है?
What is the numerical coefficient in the term (11xy)?
#algebraic_expressions
#numerical_coefficient
#easy
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A (xy)
B (1)
C (11)
D (22)
Explanation opens after your attempt
Step 1
Concept
The numerical coefficient is the number part separate from the variable part. In (11xy), it is (11).
Step 2
Why this answer is correct
The correct answer is C. (11). The numerical coefficient is the number part separate from the variable part. In (11xy), it is (11).
Step 3
Exam Tip
संख्यात्मक गुणांक चर वाले भाग से अलग संख्या होती है। (11xy) में यह (11) है।
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पद \(3a^2b\) में चर वाला भाग कौन सा है?
In the term \(3a^2b\), which is the variable part?
#algebraic_expressions
#variable_part
#easy
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A (3)
B (3a)
C (3b)
D \(a^2b\)
Explanation opens after your attempt
Correct Answer
D. \(a^2b\)
Step 1
Concept
The variable part remains after leaving the numerical coefficient. Therefore \(a^2b\) is the variable part.
Step 2
Why this answer is correct
The correct answer is D. \(a^2b\). The variable part remains after leaving the numerical coefficient. Therefore \(a^2b\) is the variable part.
Step 3
Exam Tip
चर वाला भाग संख्यात्मक गुणांक को छोड़कर बचता है। इसलिए \(a^2b\) चर वाला भाग है।
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(x) का एक चौथाई किस व्यंजक से दर्शाया जाएगा?
Which expression represents one-fourth of (x)?
#algebraic_expressions
#fraction_expression
#easy
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A (4x)
B \(\frac{x}{4}\)
C (x+4)
D (x-4)
Explanation opens after your attempt
Correct Answer
B. \(\frac{x}{4}\)
Step 1
Concept
One-fourth means dividing by (4). Therefore the correct expression is \(\frac{x}{4}\).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{x}{4}\). One-fourth means dividing by (4). Therefore the correct expression is \(\frac{x}{4}\).
Step 3
Exam Tip
एक चौथाई का अर्थ (4) से भाग देना है। इसलिए सही व्यंजक \(\frac{x}{4}\) है।
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व्यंजक (x+2y+x+3y) का सरल रूप क्या है?
What is the simplified form of (x+2y+x+3y)?
#algebraic_expressions
#simplify_two_variables
#easy
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A (2x+5y)
B (2x+6y)
C (x+5y)
D (5xy)
Explanation opens after your attempt
Correct Answer
A. (2x+5y)
Step 1
Concept
(x+x=2x) and (2y+3y=5y). So the simplified form is (2x+5y).
Step 2
Why this answer is correct
The correct answer is A. (2x+5y). (x+x=2x) and (2y+3y=5y). So the simplified form is (2x+5y).
Step 3
Exam Tip
(x+x=2x) और (2y+3y=5y)। इसलिए सरल रूप (2x+5y) है।
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व्यंजक (2(a+3)) को खोलने पर क्या मिलेगा?
What do we get by expanding (2(a+3))?
#algebraic_expressions
#brackets
#easy
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A (2a+3)
B (a+6)
C (2a+6)
D (5a)
Explanation opens after your attempt
Step 1
Concept
Multiply (2) by both (a) and (3). Therefore (2(a+3)=2a+6).
Step 2
Why this answer is correct
The correct answer is C. (2a+6). Multiply (2) by both (a) and (3). Therefore (2(a+3)=2a+6).
Step 3
Exam Tip
(2) को (a) और (3) दोनों से गुणा करते हैं। इसलिए (2(a+3)=2a+6)।
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व्यंजक (7x-4y+9) के पद कौन से हैं?
What are the terms of the expression (7x-4y+9)?
#algebraic_expressions
#terms_with_signs
#easy
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A (7) और (x-4) और (y+9) / (7) and (x-4) and (y+9)
B (7x-4) और (y+9) / (7x-4) and (y+9)
C (7x) और (4y) और (9) / (7x) and (4y) and (9)
D (7x) और (-4y) और (9) / (7x) and (-4y) and (9)
Explanation opens after your attempt
Correct Answer
D. (7x) और (-4y) और (9) / (7x) and (-4y) and (9)
Step 1
Concept
The sign is part of the term. Therefore the terms are (7x), (-4y), and (9).
Step 2
Why this answer is correct
The correct answer is D. (7x) और (-4y) और (9) / (7x) and (-4y) and (9). The sign is part of the term. Therefore the terms are (7x), (-4y), and (9).
Step 3
Exam Tip
चिह्न पद का भाग होता है। इसलिए पद (7x), (-4y) और (9) हैं।
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व्यंजक (p+8) में (p) का गुणांक क्या है?
What is the coefficient of (p) in (p+8)?
#algebraic_expressions
#coefficient_one
#easy
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A (1)
B (8)
C (0)
D (9)
Explanation opens after your attempt
Step 1
Concept
A single (p) means (1p). Therefore the coefficient is (1).
Step 2
Why this answer is correct
The correct answer is A. (1). A single (p) means (1p). Therefore the coefficient is (1).
Step 3
Exam Tip
अकेले (p) का अर्थ (1p) होता है। इसलिए गुणांक (1) है।
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व्यंजक (-q-6) में (q) का गुणांक क्या है?
What is the coefficient of (q) in (-q-6)?
#algebraic_expressions
#negative_one_coefficient
#easy
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A (1)
B (-1)
C (-6)
D (6)
Explanation opens after your attempt
Step 1
Concept
(-q) means (-1q). So the coefficient of (q) is (-1).
Step 2
Why this answer is correct
The correct answer is B. (-1). (-q) means (-1q). So the coefficient of (q) is (-1).
Step 3
Exam Tip
(-q) का अर्थ (-1q) है। इसलिए (q) का गुणांक (-1) है।
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क्या \(x^2\) और (x) समान पद हैं?
Are \(x^2\) and (x) like terms?
#algebraic_expressions
#powers
#like_terms
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A हां क्योंकि दोनों में (x) है / Yes because both have (x)
B हां क्योंकि दोनों पद हैं / Yes because both are terms
C नहीं क्योंकि (x) की घात अलग है / No because the power of (x) is different
D नहीं क्योंकि दोनों में संख्या नहीं है / No because both have no number
Explanation opens after your attempt
Correct Answer
C. नहीं क्योंकि (x) की घात अलग है / No because the power of (x) is different
Step 1
Concept
In like terms, the power of the variable must also be the same. \(x^2\) and (x) have different powers.
Step 2
Why this answer is correct
The correct answer is C. नहीं क्योंकि (x) की घात अलग है / No because the power of (x) is different. In like terms, the power of the variable must also be the same. \(x^2\) and (x) have different powers.
Step 3
Exam Tip
समान पदों में चर की घात भी समान होनी चाहिए। \(x^2\) और (x) में घात अलग है।
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व्यंजक (0x+9) का सरल रूप क्या है?
What is the simplified form of (0x+9)?
#algebraic_expressions
#zero_coefficient
#easy
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A (0)
B (x+9)
C (9x)
D (9)
Explanation opens after your attempt
Step 1
Concept
(0x=0), so (0x+9=9). Multiplying by zero makes the term zero.
Step 2
Why this answer is correct
The correct answer is D. (9). (0x=0), so (0x+9=9). Multiplying by zero makes the term zero.
Step 3
Exam Tip
(0x=0), इसलिए (0x+9=9)। शून्य से गुणा करने पर पद शून्य हो जाता है।
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व्यंजक \(x\cdot0\) का मान क्या है?
What is the value of \(x\cdot0\)?
#algebraic_expressions
#zero_multiplication
#easy
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A (0)
B (x)
C (1)
D (x+0)
Explanation opens after your attempt
Step 1
Concept
Multiplying any expression by (0) gives (0). Therefore \(x\cdot0=0\).
Step 2
Why this answer is correct
The correct answer is A. (0). Multiplying any expression by (0) gives (0). Therefore \(x\cdot0=0\).
Step 3
Exam Tip
किसी भी व्यंजक को (0) से गुणा करने पर (0) मिलता है। इसलिए \(x\cdot0=0\)।
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व्यंजक \(1\cdot a+5\) का सरल रूप क्या है?
What is the simplified form of \(1\cdot a+5\)?
#algebraic_expressions
#identity_property
#easy
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A (1+5a)
B (6a)
C (a+5)
D (5)
Explanation opens after your attempt
Step 1
Concept
\(1\cdot a=a\). Therefore the simplified form is (a+5).
Step 2
Why this answer is correct
The correct answer is C. (a+5). \(1\cdot a=a\). Therefore the simplified form is (a+5).
Step 3
Exam Tip
\(1\cdot a=a\) होता है। इसलिए सरल रूप (a+5) है।
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यदि वर्ग की भुजा (x) है, तो उसका परिमाप किस व्यंजक से दर्शाया जाएगा?
If the side of a square is (x), which expression represents its perimeter?
#algebraic_expressions
#geometry_expression
#easy
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A (x+4)
B (4x)
C \(x^2\)
D (2x)
Explanation opens after your attempt
Step 1
Concept
The perimeter of a square is the sum of its four equal sides. So the perimeter is (4x).
Step 2
Why this answer is correct
The correct answer is B. (4x). The perimeter of a square is the sum of its four equal sides. So the perimeter is (4x).
Step 3
Exam Tip
वर्ग का परिमाप चारों समान भुजाओं का योग होता है। इसलिए परिमाप (4x) है।
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यदि आयत की लंबाई (l) और चौड़ाई (3) है, तो परिमाप का व्यंजक क्या होगा?
If the length of a rectangle is (l) and breadth is (3), what is the expression for its perimeter?
#algebraic_expressions
#perimeter
#easy
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A (l+3)
B (3l)
C \(l^2+3\)
D (2(l+3))
Explanation opens after your attempt
Correct Answer
D. (2(l+3))
Step 1
Concept
The perimeter of a rectangle is (2(length+breadth)). Therefore the expression is (2(l+3)).
Step 2
Why this answer is correct
The correct answer is D. (2(l+3)). The perimeter of a rectangle is (2(length+breadth)). Therefore the expression is (2(l+3)).
Step 3
Exam Tip
आयत का परिमाप (2(लंबाई+चौड़ाई)) होता है। इसलिए व्यंजक (2(l+3)) है।
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यदि एक पेन का मूल्य (p) रुपये है, तो (5) पेन का मूल्य क्या होगा?
If the price of one pen is (p) rupees, what will be the price of (5) pens?
#algebraic_expressions
#cost_expression
#easy
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A (5p)
B (p+5)
C (p-5)
D \(\frac{p}{5}\)
Explanation opens after your attempt
Step 1
Concept
If one pen costs (p), then (5) pens cost \(5\cdot p=5p\). In such cases, multiply.
Step 2
Why this answer is correct
The correct answer is A. (5p). If one pen costs (p), then (5) pens cost \(5\cdot p=5p\). In such cases, multiply.
Step 3
Exam Tip
एक पेन का मूल्य (p) है तो (5) पेन का मूल्य \(5\cdot p=5p\) होगा। ऐसी स्थिति में गुणा करें।
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यदि रीया की आयु (a) वर्ष है, तो (4) वर्ष बाद उसकी आयु क्या होगी?
If Riya's age is (a) years, what will be her age after (4) years?
#algebraic_expressions
#age_expression
#easy
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A (4a)
B (a-4)
C (a+4)
D \(\frac{a}{4}\)
Explanation opens after your attempt
Step 1
Concept
For future age, add (4) to the present age. So the age will be (a+4).
Step 2
Why this answer is correct
The correct answer is C. (a+4). For future age, add (4) to the present age. So the age will be (a+4).
Step 3
Exam Tip
भविष्य की आयु के लिए वर्तमान आयु में (4) जोड़ते हैं। इसलिए आयु (a+4) होगी।
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(x) और (3) के योग के दोगुने को कैसे लिखेंगे?
How will you write twice the sum of (x) and (3)?
#algebraic_expressions
#bracket_expression
#easy
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A (2x+3)
B (2(x+3))
C (x+6)
D \(x^2+3\)
Explanation opens after your attempt
Correct Answer
B. (2(x+3))
Step 1
Concept
First the sum (x+3) is taken. Then the whole sum is multiplied by (2).
Step 2
Why this answer is correct
The correct answer is B. (2(x+3)). First the sum (x+3) is taken. Then the whole sum is multiplied by (2).
Step 3
Exam Tip
पहले योग (x+3) लिया जाता है। फिर पूरे योग को (2) से गुणा करते हैं।
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(10) और (m) के अंतर को किस रूप में लिखेंगे?
How will you write the difference of (10) and (m)?
#algebraic_expressions
#difference
#easy
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A (10m)
B (m-10 )
C (10+m)
D (10-m)
Explanation opens after your attempt
Step 1
Concept
The difference of (10) and (m) is found by subtracting (m) from (10). So (10-m) is correct.
Step 2
Why this answer is correct
The correct answer is D. (10-m). The difference of (10) and (m) is found by subtracting (m) from (10). So (10-m) is correct.
Step 3
Exam Tip
(10) और (m) का अंतर (10) में से (m) घटाने से मिलेगा। इसलिए (10-m) सही है।
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व्यंजक \(6x^2+x+1\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(6x^2+x+1\)?
#algebraic_expressions
#coefficient_of_square
#easy
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A (6)
B (1)
C (x)
D (7)
Explanation opens after your attempt
Step 1
Concept
The number multiplied with \(x^2\) is (6). Therefore the coefficient of \(x^2\) is (6).
Step 2
Why this answer is correct
The correct answer is A. (6). The number multiplied with \(x^2\) is (6). Therefore the coefficient of \(x^2\) is (6).
Step 3
Exam Tip
\(x^2\) के साथ गुणा हुई संख्या (6) है। इसलिए \(x^2\) का गुणांक (6) है।
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व्यंजक \(x^2-x\) में नियतांक पद क्या है?
What is the constant term in \(x^2-x\)?
#algebraic_expressions
#constant_term_zero
#easy
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A \(x^2\)
B (x)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
There is no written term without a variable in this expression. So the constant term is taken as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no written term without a variable in this expression. So the constant term is taken as (0).
Step 3
Exam Tip
इस व्यंजक में बिना चर वाला कोई लिखा हुआ पद नहीं है। इसलिए नियतांक पद (0) माना जाता है।
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व्यंजक (-5) में कितने पद हैं?
How many terms are there in the expression (-5)?
#algebraic_expressions
#constant_term_count
#easy
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A (0)
B (1)
C (2)
D (5)
Explanation opens after your attempt
Step 1
Concept
(-5) is a constant term. So it has only (1) term.
Step 2
Why this answer is correct
The correct answer is B. (1). (-5) is a constant term. So it has only (1) term.
Step 3
Exam Tip
(-5) एक नियतांक पद है। इसलिए इसमें केवल (1) पद है।
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किस व्यंजक में दो चर हैं?
Which expression has two variables?
#algebraic_expressions
#two_variables
#easy
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A (9x+2)
B (7)
C \(m^2+3\)
D (ab+2)
Explanation opens after your attempt
Step 1
Concept
(ab+2) has two variables (a) and (b). So it is an expression with two variables.
Step 2
Why this answer is correct
The correct answer is D. (ab+2). (ab+2) has two variables (a) and (b). So it is an expression with two variables.
Step 3
Exam Tip
(ab+2) में (a) और (b) दो चर हैं। इसलिए यह दो चर वाला व्यंजक है।
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कौन सा पद (2) घात वाला है?
Which term has power (2)?
#algebraic_expressions
#power
#easy
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A \(x^2\)
B (2x)
C (x+2)
D (2)
Explanation opens after your attempt
Correct Answer
A. \(x^2\)
Step 1
Concept
In \(x^2\), the power of (x) is (2). The power is identified by the number written above the variable.
Step 2
Why this answer is correct
The correct answer is A. \(x^2\). In \(x^2\), the power of (x) is (2). The power is identified by the number written above the variable.
Step 3
Exam Tip
\(x^2\) में (x) की घात (2) है। घात चर के ऊपर लिखी संख्या से पहचानी जाती है।
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बीजीय व्यंजक में पदों को अलग करने में कौन से चिह्न मुख्य रूप से उपयोग होते हैं?
Which signs are mainly used to separate terms in an algebraic expression?
#algebraic_expressions
#term_separation
#easy
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A केवल गुणा / Only multiplication
B केवल भाग / Only division
C योग और घटाव / Addition and subtraction
D बराबर / Equal
Explanation opens after your attempt
Correct Answer
C. योग और घटाव / Addition and subtraction
Step 1
Concept
Terms are generally separated by addition and subtraction signs. The sign should be read with the term.
Step 2
Why this answer is correct
The correct answer is C. योग और घटाव / Addition and subtraction. Terms are generally separated by addition and subtraction signs. The sign should be read with the term.
Step 3
Exam Tip
पद सामान्यतः योग और घटाव के चिह्नों से अलग होते हैं। चिह्न को पद के साथ पढ़ना चाहिए।
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व्यंजक (3x+4-2x+1) का सरल रूप क्या है?
What is the simplified form of (3x+4-2x+1)?
#algebraic_expressions
#simplify_mixed_terms
#easy
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A (5x+5)
B (x+5)
C (x+3)
D (5x+3)
Explanation opens after your attempt
Step 1
Concept
(3x-2x=x) and (4+1=5). So the simplified form is (x+5).
Step 2
Why this answer is correct
The correct answer is B. (x+5). (3x-2x=x) and (4+1=5). So the simplified form is (x+5).
Step 3
Exam Tip
(3x-2x=x) और (4+1=5)। इसलिए सरल रूप (x+5) है।
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यदि (a=2) और (b=3), तो (2a+b) का मान क्या होगा?
If (a=2) and (b=3), what is the value of (2a+b)?
#algebraic_expressions
#two_variable_evaluation
#easy
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A (5)
B (6)
C (8)
D (7)
Explanation opens after your attempt
Step 1
Concept
Substituting the values gives (2a+b=2(2)+3=7). Multiply first and then add.
Step 2
Why this answer is correct
The correct answer is D. (7). Substituting the values gives (2a+b=2(2)+3=7). Multiply first and then add.
Step 3
Exam Tip
मान रखने पर (2a+b=2(2)+3=7)। पहले गुणा करें फिर जोड़ें।
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पद \(5x^2y\) में \(x^2y\) का गुणांक क्या है?
What is the coefficient of \(x^2y\) in the term \(5x^2y\)?
#algebraic_expressions
#coefficient_multivariable
#easy
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A (5)
B (2)
C (y)
D (x)
Explanation opens after your attempt
Step 1
Concept
The number multiplied with \(x^2y\) is (5). Therefore the coefficient is (5).
Step 2
Why this answer is correct
The correct answer is A. (5). The number multiplied with \(x^2y\) is (5). Therefore the coefficient is (5).
Step 3
Exam Tip
\(x^2y\) के साथ गुणा हुई संख्या (5) है। इसलिए गुणांक (5) है।
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(x) के आधे से (3) अधिक को कैसे लिखेंगे?
How will you write (3) more than half of (x)?
#algebraic_expressions
#half_expression
#easy
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A (2x+3)
B \(\frac{x+3}{2}\)
C \(\frac{x}{2}+3\)
D (3x+2)
Explanation opens after your attempt
Correct Answer
C. \(\frac{x}{2}+3\)
Step 1
Concept
Half of (x) is \(\frac{x}{2}\). Adding (3) gives \(\frac{x}{2}+3\).
Step 2
Why this answer is correct
The correct answer is C. \(\frac{x}{2}+3\). Half of (x) is \(\frac{x}{2}\). Adding (3) gives \(\frac{x}{2}+3\).
Step 3
Exam Tip
(x) का आधा \(\frac{x}{2}\) है। उसमें (3) जोड़ने पर \(\frac{x}{2}+3\) मिलता है।
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किस विकल्प में (c) से (2) अधिक का सही व्यंजक है?
Which option gives the correct expression for (2) more than (c)?
#algebraic_expressions
#more_than
#easy
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A (2c)
B (c+2)
C (c-2)
D \(\frac{c}{2}\)
Explanation opens after your attempt
Step 1
Concept
(2) more means adding (2). Therefore the expression is (c+2).
Step 2
Why this answer is correct
The correct answer is B. (c+2). (2) more means adding (2). Therefore the expression is (c+2).
Step 3
Exam Tip
(2) अधिक का अर्थ (2) जोड़ना है। इसलिए व्यंजक (c+2) है।
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यदि (x=0), तो (7x+2) का मान क्या होगा?
If (x=0), what is the value of (7x+2)?
#algebraic_expressions
#evaluation_zero
#easy
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A (0)
B (7)
C (9)
D (2)
Explanation opens after your attempt
Step 1
Concept
Putting (x=0), (7x+2=7(0)+2=2). The part multiplied by zero becomes (0).
Step 2
Why this answer is correct
The correct answer is D. (2). Putting (x=0), (7x+2=7(0)+2=2). The part multiplied by zero becomes (0).
Step 3
Exam Tip
(x=0) रखने पर (7x+2=7(0)+2=2)। शून्य से गुणा वाला भाग (0) हो जाता है।
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