व्यंजक (3x+7) में चर कौन सा है?
In the expression (3x+7), which is the variable?
#algebraic_expressions
#variable
#polynomials
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A (3)
B (x)
C (7)
D (10)
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Explanation
Simple Explanation
चर वह राशि है जिसका मान बदल सकता है। यहां (x) बदल सकता है। / A variable is a quantity whose value can change. Here (x) can change.
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व्यंजक (5y-9) में नियतांक पद कौन सा है?
In the expression (5y-9), which is the constant term?
#algebraic_expressions
#constant_term
#polynomials
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A (5)
B (y)
C (5y)
D (-9)
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Explanation
Simple Explanation
नियतांक पद में कोई चर नहीं होता। इसलिए (-9) नियतांक पद है। / A constant term has no variable. Therefore (-9) is the constant term.
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व्यंजक (8a) में (a) का गुणांक क्या है?
What is the coefficient of (a) in the expression (8a)?
#algebraic_expressions
#coefficient
#easy
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A (8)
B (a)
C (1)
D (0)
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Explanation
Simple Explanation
चर के साथ गुणा हुआ संख्यात्मक भाग गुणांक होता है। (8a) में (a) का गुणांक (8) है। / The numerical part multiplied with the variable is the coefficient. In (8a), the coefficient of (a) is (8).
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व्यंजक (p+q+4) में कुल कितने पद हैं?
How many terms are there in the expression (p+q+4)?
#algebraic_expressions
#terms
#polynomials
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A (1)
B (2)
C (3)
D (4)
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Explanation
Simple Explanation
पद (p), (q), और (4) हैं। इसलिए कुल (3) पद हैं। / The terms are (p), (q), and (4). So there are (3) terms.
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कौन सा व्यंजक एकपदी है?
Which expression is a monomial?
#algebraic_expressions
#monomial
#terms
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A (7m)
B (m+7)
C (m-n)
D (m+n+7)
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Explanation
Simple Explanation
एकपदी में केवल एक पद होता है। (7m) में एक ही पद है। / A monomial has only one term. (7m) has one term.
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कौन सा व्यंजक द्विपदी है?
Which expression is a binomial?
#algebraic_expressions
#binomial
#terms
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A (4x)
B (x+6)
C (x+y+z)
D (9)
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Explanation
Simple Explanation
द्विपदी में दो पद होते हैं। (x+6) में (x) और (6) दो पद हैं। / A binomial has two terms. (x+6) has two terms (x) and (6).
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कौन सा व्यंजक त्रिपदी है?
Which expression is a trinomial?
#algebraic_expressions
#trinomial
#terms
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A (2a)
B (a-5)
C (a+b+c)
D (10)
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Correct Answer
C. (a+b+c)
Explanation
Simple Explanation
त्रिपदी में तीन पद होते हैं। (a+b+c) में तीन पद हैं। / A trinomial has three terms. (a+b+c) has three terms.
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व्यंजक (4x+3x) का सरलीकृत रूप क्या है?
What is the simplified form of (4x+3x)?
#algebraic_expressions
#like_terms
#simplification
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A (7x)
B (12x)
C (x)
D \(7x^2\)
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Explanation
Simple Explanation
समान पदों के गुणांक जोड़े जाते हैं। (4x+3x=7x)। / Coefficients of like terms are added. (4x+3x=7x).
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व्यंजक (9y-2y) का मान क्या है?
What is the value of the expression (9y-2y)?
#algebraic_expressions
#subtract_like_terms
#easy
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A (11y)
B (7y)
C (18y)
D \(7y^2\)
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Explanation
Simple Explanation
समान पदों में गुणांक घटाए जाते हैं। (9y-2y=7y)। / In like terms, coefficients are subtracted. (9y-2y=7y).
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व्यंजक (2x+5) में (x=3) रखने पर मान क्या होगा?
What is the value of (2x+5) when (x=3)?
#algebraic_expressions
#value_substitution
#easy
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A (8)
B (10)
C (11)
D (15)
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Explanation
Simple Explanation
(x=3) रखने पर (2x+5=2(3)+5=11)। पहले गुणा फिर जोड़ करें। / Putting (x=3), (2x+5=2(3)+5=11). Multiply first and then add.
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व्यंजक (a-4) में (a=10) रखने पर मान क्या होगा?
What is the value of (a-4) when (a=10)?
#algebraic_expressions
#substitution
#easy
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A (4)
B (6)
C (10)
D (14)
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Explanation
Simple Explanation
(a=10) रखने पर (a-4=10-4=6)। मान रखने के बाद सामान्य घटाव करें। / Putting (a=10), (a-4=10-4=6). After substitution, do ordinary subtraction.
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व्यंजक (3m+2) में (m=4) रखने पर मान क्या होगा?
What is the value of (3m+2) when (m=4)?
#algebraic_expressions
#evaluation
#polynomials
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A (12)
B (14)
C (16)
D (18)
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Explanation
Simple Explanation
(m=4) रखने पर (3m+2=3(4)+2=14)। कोष्ठक का प्रयोग गलती कम करता है। / Putting (m=4), (3m+2=3(4)+2=14). Using brackets reduces mistakes.
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व्यंजक (12-2t) में (t=5) रखने पर मान क्या होगा?
What is the value of (12-2t) when (t=5)?
#algebraic_expressions
#easy_substitution
#value
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A (2)
B (5)
C (7)
D (10)
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Explanation
Simple Explanation
(t=5) रखने पर (12-2t=12-10=2)। पहले (2t) का मान निकालें। / Putting (t=5), (12-2t=12-10=2). Find the value of (2t) first.
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वाक्यांश (5) से अधिक (x) को बीजीय रूप में कैसे लिखेंगे?
How will you write (x) more than (5) in algebraic form?
#algebraic_expressions
#word_to_expression
#easy
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A (5-x)
B (x+5)
C (5x)
D (x-5)
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Explanation
Simple Explanation
(5) से अधिक का अर्थ (5) जोड़ना है। इसलिए सही व्यंजक (x+5) है। / More than (5) means adding (5). So the correct expression is (x+5).
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वाक्यांश (y) का तीन गुना किस व्यंजक से दर्शाया जाएगा?
Which expression represents three times (y)?
#algebraic_expressions
#word_problem
#multiplication
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A (y+3)
B (y-3)
C (3y)
D \(y^3\)
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Explanation
Simple Explanation
तीन गुना का अर्थ (3) से गुणा है। इसलिए (3y) सही है। / Three times means multiplication by (3). Therefore (3y) is correct.
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वाक्यांश (n) से (8) कम को बीजीय रूप में कैसे लिखेंगे?
How will you write (8) less than (n) in algebraic form?
#algebraic_expressions
#translation
#subtraction
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A (n+8)
B (8-n)
C (8n)
D (n-8)
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Explanation
Simple Explanation
(8) कम का अर्थ (8) घटाना है। इसलिए व्यंजक (n-8) होगा। / Less by (8) means subtracting (8). So the expression is (n-8).
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व्यंजक (6p+1) में (p) का गुणांक क्या है?
What is the coefficient of (p) in the expression (6p+1)?
#algebraic_expressions
#coefficient
#variable
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A (6)
B (1)
C (p)
D (7)
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Explanation
Simple Explanation
(p) के साथ गुणा हुआ अंक (6) है। इसलिए (p) का गुणांक (6) है। / The number multiplied with (p) is (6). So the coefficient of (p) is (6).
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व्यंजक (-4z+9) में (z) का गुणांक क्या है?
What is the coefficient of (z) in the expression (-4z+9)?
#algebraic_expressions
#negative_coefficient
#easy
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A (4)
B (-4)
C (9)
D (z)
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Explanation
Simple Explanation
चिह्न भी गुणांक का भाग होता है। इसलिए (z) का गुणांक (-4) है। / The sign is also part of the coefficient. Therefore, the coefficient of (z) is (-4).
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व्यंजक \(x^2+4x+4\) में कितने पद हैं?
How many terms are there in \(x^2+4x+4\)?
#algebraic_expressions
#terms
#trinomial
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A (1)
B (2)
C (3)
D (4)
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Explanation
Simple Explanation
पद \(x^2\), (4x), और (4) हैं। इसलिए यह (3) पदों वाला व्यंजक है। / The terms are \(x^2\), (4x), and (4). So it is an expression with (3) terms.
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कौन से पद समान पद हैं?
Which terms are like terms?
#algebraic_expressions
#like_terms
#easy
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A (3x) और (5x) / (3x) and (5x)
B (3x) और (5y) / (3x) and (5y)
C (x) और \(x^2\) / (x) and \(x^2\)
D (2a) और (2b) / (2a) and (2b)
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Correct Answer
A. (3x) और (5x) / (3x) and (5x)
Explanation
Simple Explanation
समान पदों में चर और उनकी घातें समान होती हैं। (3x) और (5x) में चर (x) समान है। / Like terms have the same variables with the same powers. (3x) and (5x) have the same variable (x).
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कौन से पद असमान पद हैं?
Which terms are unlike terms?
#algebraic_expressions
#unlike_terms
#variables
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A (7a) और (2a) / (7a) and (2a)
B (4m) और (4m) / (4m) and (4m)
C (5x) और (5y) / (5x) and (5y)
D (9p) और (3p) / (9p) and (3p)
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Correct Answer
C. (5x) और (5y) / (5x) and (5y)
Explanation
Simple Explanation
असमान पदों में चर या घात अलग होती है। (5x) और (5y) में चर अलग हैं। / Unlike terms have different variables or powers. (5x) and (5y) have different variables.
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व्यंजक (2a+3b) में कितने चर हैं?
How many variables are there in the expression (2a+3b)?
#algebraic_expressions
#variables
#counting
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A (0)
B (1)
C (2)
D (3)
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Explanation
Simple Explanation
इस व्यंजक में चर (a) और (b) हैं। इसलिए कुल (2) चर हैं। / The variables in this expression are (a) and (b). So there are (2) variables.
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कौन सा केवल संख्यात्मक व्यंजक है?
Which one is only a numerical expression?
#algebraic_expressions
#numerical_expression
#easy
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A (3x+2)
B (7+5)
C (a-1)
D (p+q)
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Explanation
Simple Explanation
संख्यात्मक व्यंजक में कोई चर नहीं होता। (7+5) में केवल संख्याएं हैं। / A numerical expression has no variable. (7+5) has only numbers.
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कौन सा बीजीय व्यंजक है?
Which one is an algebraic expression?
#algebraic_expressions
#identification
#easy
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A (12)
B (8+4)
C (2r-5)
D \(6\times3\)
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Explanation
Simple Explanation
बीजीय व्यंजक में सामान्यतः चर और संख्याएं होती हैं। (2r-5) में चर (r) है। / An algebraic expression usually contains variables and numbers. (2r-5) has the variable (r).
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व्यंजक (x+x+x) का सरल रूप क्या है?
What is the simplified form of (x+x+x)?
#algebraic_expressions
#simplification
#like_terms
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A \(x^3\)
B (3x)
C (x+3)
D (3+x)
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Explanation
Simple Explanation
तीन समान (x) पदों का योग (3x) होता है। जोड़ को घात न समझें। / The sum of three like terms (x) is (3x). Do not confuse addition with power.
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व्यंजक (4c+c) का सरल रूप क्या है?
What is the simplified form of (4c+c)?
#algebraic_expressions
#coefficient_one
#easy
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A \(4c^2\)
B (5c)
C (5+c)
D (4+c)
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Explanation
Simple Explanation
(c) का गुणांक (1) माना जाता है। इसलिए (4c+c=5c)। / The coefficient of (c) is taken as (1). So (4c+c=5c).
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व्यंजक (10q-3q+q) का सरल रूप क्या है?
What is the simplified form of (10q-3q+q)?
#algebraic_expressions
#combine_like_terms
#easy
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A (6q)
B (7q)
C (8q)
D (14q)
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Explanation
Simple Explanation
गुणांक (10-3+1=8) हैं। इसलिए व्यंजक (8q) बनता है। / The coefficients are (10-3+1=8). So the expression becomes (8q).
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व्यंजक (2x+3y) में (2x) और (3y) कैसे पद हैं?
In the expression (2x+3y), what type of terms are (2x) and (3y)?
#algebraic_expressions
#unlike_terms
#easy
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A समान पद / Like terms
B असमान पद / Unlike terms
C नियतांक पद / Constant terms
D शून्य पद / Zero terms
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Correct Answer
B. असमान पद / Unlike terms
Explanation
Simple Explanation
(2x) और (3y) में चर अलग हैं। इसलिए ये असमान पद हैं। / (2x) and (3y) have different variables. Therefore they are unlike terms.
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व्यंजक (15) को किस प्रकार का व्यंजक माना जा सकता है?
What type of expression can (15) be considered?
#algebraic_expressions
#constant_expression
#easy
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A चर व्यंजक / Variable expression
B नियतांक व्यंजक / Constant expression
C द्विपदी / Binomial
D त्रिपदी / Trinomial
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Correct Answer
B. नियतांक व्यंजक / Constant expression
Explanation
Simple Explanation
(15) में कोई चर नहीं है। इसलिए यह नियतांक व्यंजक है। / (15) has no variable. Therefore it is a constant expression.
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व्यंजक \(6x^2\) में संख्यात्मक गुणांक क्या है?
What is the numerical coefficient in the expression \(6x^2\)?
#algebraic_expressions
#numerical_coefficient
#easy
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A \(x^2\)
B (2)
C (6)
D (8)
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Explanation
Simple Explanation
संख्यात्मक गुणांक चर वाले भाग से अलग संख्या होती है। \(6x^2\) में यह (6) है। / The numerical coefficient is the number part separate from the variable part. In \(6x^2\), it is (6).
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व्यंजक (-x+4) में (x) का गुणांक क्या है?
What is the coefficient of (x) in (-x+4)?
#algebraic_expressions
#negative_one_coefficient
#easy
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A (1)
B (-1)
C (4)
D (0)
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Explanation
Simple Explanation
(-x) का अर्थ (-1x) होता है। इसलिए (x) का गुणांक (-1) है। / (-x) means (-1x). So the coefficient of (x) is (-1).
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वाक्यांश (k) का आधा किस व्यंजक से दर्शाया जाएगा?
Which expression represents half of (k)?
#algebraic_expressions
#word_to_expression
#fraction
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A (2k)
B (k+2)
C \(\frac{k}{2}\)
D (k-2)
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Correct Answer
C. \(\frac{k}{2}\)
Explanation
Simple Explanation
आधा का अर्थ (2) से भाग देना है। इसलिए सही व्यंजक \(\frac{k}{2}\) है। / Half means dividing by (2). Therefore the correct expression is \(\frac{k}{2}\).
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वाक्यांश (r) के दोगुने में (9) जोड़ना कैसे लिखा जाएगा?
How will you write adding (9) to twice (r)?
#algebraic_expressions
#phrase_to_expression
#easy
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A (2r+9)
B (r+18)
C (9r+2)
D (2(r+9))
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Explanation
Simple Explanation
(r) का दोगुना (2r) है और उसमें (9) जोड़ने पर (2r+9) मिलता है। वाक्य को क्रम से पढ़ें। / Twice (r) is (2r), and adding (9) gives (2r+9). Read the phrase in order.
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वाक्यांश (s) के (4) गुने में से (7) घटाना कैसे लिखा जाएगा?
How will you write subtracting (7) from (4) times (s)?
#algebraic_expressions
#word_translation
#subtraction
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A (4s+7)
B (4s-7)
C (7-4s)
D (s-28 )
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Explanation
Simple Explanation
(s) का (4) गुना (4s) है और उसमें से (7) घटाने पर (4s-7) मिलता है। घटाव की दिशा ध्यान रखें। / Four times (s) is (4s), and subtracting (7) gives (4s-7). Pay attention to the direction of subtraction.
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व्यंजक (2a+5a-3) का सरल रूप क्या है?
What is the simplified form of (2a+5a-3)?
#algebraic_expressions
#simplify_expression
#easy
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A (7a-3)
B (10a-3)
C (7a+3)
D (a-3)
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Explanation
Simple Explanation
(2a) और (5a) समान पद हैं। उनका योग (7a) है और (-3) अलग रहता है। / (2a) and (5a) are like terms. Their sum is (7a), and (-3) remains separate.
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व्यंजक \(b^2+2b\) में \(b^2\) और (2b) कैसे पद हैं?
In the expression \(b^2+2b\), what type of terms are \(b^2\) and (2b)?
#algebraic_expressions
#powers
#unlike_terms
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A समान पद / Like terms
B असमान पद / Unlike terms
C दोनों नियतांक / Both constants
D दोनों शून्य / Both zero
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Correct Answer
B. असमान पद / Unlike terms
Explanation
Simple Explanation
इनमें चर समान है पर घात अलग है। इसलिए \(b^2\) और (2b) असमान पद हैं। / They have the same variable but different powers. Therefore \(b^2\) and (2b) are unlike terms.
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व्यंजक (3x+2x+5) में समान पद कौन से हैं?
Which are the like terms in (3x+2x+5)?
#algebraic_expressions
#identify_like_terms
#easy
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A (3x) और (2x) / (3x) and (2x)
B (2x) और (5) / (2x) and (5)
C (3x) और (5) / (3x) and (5)
D सभी पद / All terms
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Correct Answer
A. (3x) और (2x) / (3x) and (2x)
Explanation
Simple Explanation
(3x) और (2x) में चर (x) समान घात के साथ है। इसलिए वे समान पद हैं। / (3x) and (2x) have the variable (x) with the same power. Therefore they are like terms.
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यदि (x=1), तो \(x^2+2\) का मान क्या होगा?
If (x=1), what is the value of \(x^2+2\)?
#algebraic_expressions
#evaluate_square
#easy
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A (1)
B (2)
C (3)
D (4)
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Explanation
Simple Explanation
(x=1) रखने पर \(x^2+2=1^2+2=3\)। घात का मान पहले निकालें। / Putting (x=1), \(x^2+2=1^2+2=3\). Evaluate the power first.
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यदि (y=2), तो \(y^2+y\) का मान क्या होगा?
If (y=2), what is the value of \(y^2+y\)?
#algebraic_expressions
#evaluation_square
#easy
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A (4)
B (5)
C (6)
D (8)
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Explanation
Simple Explanation
(y=2) रखने पर \(y^2+y=2^2+2=6\)। पहले \(y^2\) का मान निकालें। / Putting (y=2), \(y^2+y=2^2+2=6\). Find \(y^2\) first.
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व्यंजक (5u-2+u) का सरल रूप क्या है?
What is the simplified form of (5u-2+u)?
#algebraic_expressions
#combine_terms
#easy
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A (4u-2)
B (6u-2)
C (5u-1)
D (6u+2)
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Explanation
Simple Explanation
(5u+u=6u) और (-2) अलग रहता है। इसलिए सरल रूप (6u-2) है। / (5u+u=6u), and (-2) remains separate. So the simplified form is (6u-2).
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कौन सा व्यंजक (x) और (y) के योग के (2) गुने को दर्शाता है?
Which expression represents twice the sum of (x) and (y)?
#algebraic_expressions
#brackets
#word_expression
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A (2x+y)
B (x+2y)
C (2(x+y))
D (x+y+2)
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Correct Answer
C. (2(x+y))
Explanation
Simple Explanation
पहले (x) और (y) का योग लिया जाता है। फिर पूरे योग को (2) से गुणा किया जाता है। / First the sum of (x) and (y) is taken. Then the whole sum is multiplied by (2).
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व्यंजक (7-3v) में चर कौन सा है?
Which is the variable in the expression (7-3v)?
#algebraic_expressions
#variable_identification
#easy
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A (7)
B (3)
C (v)
D (-3)
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Explanation
Simple Explanation
चर (v) है क्योंकि उसका मान बदल सकता है। संख्याएं (7) और (-3) स्थिर हैं। / The variable is (v) because its value can change. The numbers (7) and (-3) are fixed.
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व्यंजक (a+b) और (ab) में मुख्य अंतर क्या है?
What is the main difference between (a+b) and (ab)?
#algebraic_expressions
#sum_product
#easy
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A (a+b) योग है और (ab) गुणन है / (a+b) is sum and (ab) is product
B दोनों हमेशा समान हैं / Both are always equal
C (a+b) गुणन है और (ab) योग है / (a+b) is product and (ab) is sum
D दोनों नियतांक हैं / Both are constants
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Correct Answer
A. (a+b) योग है और (ab) गुणन है / (a+b) is sum and (ab) is product
Explanation
Simple Explanation
चिह्न (+) योग दिखाता है और साथ लिखना गुणन दिखाता है। इसलिए (a+b) और (ab) अलग व्यंजक हैं। / The sign (+) shows addition and writing together shows multiplication. So (a+b) and (ab) are different expressions.
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कौन सा व्यंजक (x) के वर्ग में (3) जोड़ने को दर्शाता है?
Which expression represents adding (3) to the square of (x)?
#algebraic_expressions
#square_expression
#easy
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A \(x^2+3\)
B (2x+3)
C \(x+3^2\)
D \(3x^2\)
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Correct Answer
A. \(x^2+3\)
Explanation
Simple Explanation
(x) का वर्ग \(x^2\) है और उसमें (3) जोड़ने पर \(x^2+3\) मिलता है। शब्दों में क्रम समझना जरूरी है। / The square of (x) is \(x^2\), and adding (3) gives \(x^2+3\). Understanding the order of words is important.
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व्यंजक \(4x^2+3x+2\) में नियतांक पद कौन सा है?
What is the constant term in \(4x^2+3x+2\)?
#algebraic_expressions
#constant_term_identification
#easy
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A \(4x^2\)
B (3x)
C (2)
D (x)
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Explanation
Simple Explanation
नियतांक पद में चर नहीं होता। यहां (2) नियतांक पद है। / A constant term has no variable. Here (2) is the constant term.
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यदि (p=3), तो (4p-1) का मान क्या होगा?
If (p=3), what is the value of (4p-1)?
#algebraic_expressions
#evaluate_linear
#easy
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A (9)
B (10)
C (11)
D (12)
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Explanation
Simple Explanation
(p=3) रखने पर (4p-1=4(3)-1=11)। गुणा पहले करें। / Putting (p=3), (4p-1=4(3)-1=11). Do multiplication first.
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व्यंजक (2x+3x+4x) का सरल रूप क्या है?
What is the simplified form of (2x+3x+4x)?
#algebraic_expressions
#add_like_terms
#easy
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A (9x)
B (24x)
C \(9x^3\)
D (x+9)
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Explanation
Simple Explanation
समान पदों के गुणांक (2+3+4=9) हैं। इसलिए सरल रूप (9x) है। / The coefficients of like terms are (2+3+4=9). Therefore the simplified form is (9x).
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व्यंजक (x+0) का सरल रूप क्या है?
What is the simplified form of (x+0)?
#algebraic_expressions
#zero_property
#easy
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A (0)
B (x)
C \(x^0\)
D (1)
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Explanation
Simple Explanation
किसी व्यंजक में (0) जोड़ने से उसका मान नहीं बदलता। इसलिए (x+0=x)। / Adding (0) to an expression does not change its value. So (x+0=x).
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व्यंजक \(1\cdot x\) का सरल रूप क्या है?
What is the simplified form of \(1\cdot x\)?
#algebraic_expressions
#identity_property
#easy
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A (1)
B (0)
C (x)
D (x+1)
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Explanation
Simple Explanation
किसी चर को (1) से गुणा करने पर वही चर मिलता है। इसलिए \(1\cdot x=x\)। / Multiplying a variable by (1) gives the same variable. Therefore \(1\cdot x=x\).
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व्यंजक \(0\cdot y+6\) का सरल रूप क्या है?
What is the simplified form of \(0\cdot y+6\)?
#algebraic_expressions
#zero_multiplication
#easy
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A (y+6)
B (6y)
C (0)
D (6)
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Explanation
Simple Explanation
\(0\cdot y=0\), इसलिए \(0\cdot y+6=6\)। शून्य से गुणा हमेशा (0) देता है। / \(0\cdot y=0\), so \(0\cdot y+6=6\). Multiplication by zero always gives (0).
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