Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
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What is obtained after taking (2) common from (2x+6)?
A. (2(x+3))
\(2x\div2=x\) और \(6\div2=3\) है। इसलिए (2x+6=2(x+3)) है। / \(2x\div2=x\) and \(6\div2=3\). Therefore (2x+6=2(x+3)).
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What is the greatest common numerical factor of (15p+20q)?
B. (5)
(15) और (20) का सबसे बड़ा समान गुणनखंड (5) है। परीक्षा में संख्याओं का महत्तम समापवर्तक पहले निकालें। / The greatest common factor of (15) and (20) is (5). Exam tip: first find the HCF of the numbers.
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What will be the factorisation of (15p+20q)?
A. (5(3p+4q))
दोनों पदों में (5) समान है। इसलिए (15p+20q=5(3p+4q)) होगा। / (5) is common in both terms. So (15p+20q=5(3p+4q)).
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Which is the factorisation of \(x^2+4x+4\)?
B. ((x+2)2)
\(4=2^2\) और \(4x=2\cdot2x\) है। इसलिए (x-2+4x+4=(x+2)2) है। / \(4=2^2\) and \(4x=2\cdot2x\). Therefore (x-2+4x+4=(x+2)2).
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Choose the correct factorisation of \(x^2-6x+9\).
C. ((x-3)2)
\(9=3^2\) और \(-6x=-2\cdot3x\) है। इसलिए यह ((x-3)2) है। / \(9=3^2\) and \(-6x=-2\cdot3x\). Therefore it is ((x-3)2).
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What will be the factorisation of \(4x^2+12x+9\)?
D. ((2x+3)2)
(4x-2=(2x)2), \(9=3^2\), और \(12x=2\cdot2x\cdot3\) है। परीक्षा में पहले और अंतिम पद की जड़ें मिलाएं। / (4x-2=(2x)2), \(9=3^2\), and \(12x=2\cdot2x\cdot3\). Exam tip: match the roots of the first and last terms.
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A. (2a(a+2))
दोनों पदों में (2a) समान है। इसलिए (2a-2+4a=2a(a+2)) होगा। / (2a) is common in both terms. Therefore (2a-2+4a=2a(a+2)).
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Choose the correct form after taking the common factor from \(8m^2-12m\).
A. (4m(2m-3))
दोनों पदों में (4m) सबसे बड़ा समान गुणनखंड है। इसलिए (8m-2-12m=4m(2m-3)) है। / (4m) is the greatest common factor in both terms. So (8m-2-12m=4m(2m-3)).
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What is the factorisation of (ab+ac+ad)?
A. (a(b+c+d))
तीनों पदों में (a) समान है। इसलिए (ab+ac+ad=a(b+c+d)) है। / (a) is common in all three terms. Therefore (ab+ac+ad=a(b+c+d)).
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Which is the factorisation of \(x^2+3x+2\)?
A. ((x+1)(x+2))
(1+2=3) और \(1\cdot2=2\) है। परीक्षा में आसान त्रिपदों में योग और गुणन दोनों जांचें। / (1+2=3) and \(1\cdot2=2\). Exam tip: in simple trinomials, check both sum and product.
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