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.
Showing 201-210 of 600 questions.
What is the simplified form of \(5^4\cdot5^{-2}\cdot5^3\)?
A. \(5^5\)
समान आधार में घातें (4-2+3=5) जुड़ती हैं। इसलिए सरल रूप \(5^5\) है। / For the same base, exponents add as (4-2+3=5). Hence the simplified form is \(5^5\).
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What is the simplified form of \(\frac{7^3}{7^{-1}\cdot7^2}\)?
A. \(7^2\)
हर में घात (-1+2=1) है। इसलिए कुल घात (3-1=2) होती है। / The denominator exponent is (-1+2=1). Therefore the total exponent is (3-1=2).
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If \(x\neq0\), what is the simplified form of (\frac{\(x^2\)3\cdot x^{-1}}{x-2})?
B. \(x^3\)
पहले (\(x^2\)3=x-6) है। कुल घात (6-1-2=3) मिलती है। / First (\(x^2\)3=x-6). The total exponent is (6-1-2=3).
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What is the simplified form of \(\frac{3^4\cdot2^4}{6^3}\)?
A. (6)
(34\cdot24=\(3\cdot2\)4=64) है। इसलिए \(\frac{6^4}{6^3}=6\) है। / (34\cdot24=\(3\cdot2\)4=64). Therefore \(\frac{6^4}{6^3}=6\).
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What is the simplified form of \(\frac{27^2}{3^4}\)?
A. \(3^2\)
(272=\(3^3\)2=36) होता है। इसलिए \(\frac{3^6}{3^4}=3^2\) है। / (272=\(3^3\)2=36). Therefore \(\frac{3^6}{3^4}=3^2\).
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What is the value of ((0.25)^{-2})?
C. (16)
\(0.25=\frac{1}{4}\) है। इसलिए ((0.25)^{-2}=\left\(\frac{1}{4}\right\)^{-2}=16) होता है। / \(0.25=\frac{1}{4}\). Therefore ((0.25)^{-2}=\left\(\frac{1}{4}\right\)^{-2}=16).
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What is the value of (\left\(\frac{4}{3}\right\)^{-2}\cdot\left\(\frac{16}{9}\right\))?
A. (1)
(\left\(\frac{4}{3}\right\)^{-2}=\left\(\frac{3}{4}\right\)2=\frac{9}{16}) है। इसलिए \(\frac{9}{16}\cdot\frac{16}{9}=1\) है। / (\left\(\frac{4}{3}\right\)^{-2}=\left\(\frac{3}{4}\right\)2=\frac{9}{16}). Hence \(\frac{9}{16}\cdot\frac{16}{9}=1\).
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If (a=3), what is the value of \(a^2+a^{-1}\)?
B. \(\frac{28}{3}\)
\(3^2=9\) और \(3^{-1}=\frac{1}{3}\) है। इसलिए योग \(9+\frac{1}{3}=\frac{28}{3}\) है। / \(3^2=9\) and \(3^{-1}=\frac{1}{3}\). Thus the sum is \(9+\frac{1}{3}=\frac{28}{3}\).
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What is the correct simplified form of (\(a^3b^2\)3)?
A. \(a^9b^6\)
बाहरी घात प्रत्येक कारक की घात से गुणा होती है। इसलिए (\(a^3b^2\)3=a-9b-6) है। / The outside exponent multiplies the exponent of each factor. Hence (\(a^3b^2\)3=a-9b-6).
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What is the simplified form of (\frac{\(3x^2\)2}{9x}) if \(x\neq0\)?
B. \(x^3\)
(\(3x^2\)2=9x-4) होता है। फिर \(\frac{9x^4}{9x}=x^3\) है। / (\(3x^2\)2=9x-4). Then \(\frac{9x^4}{9x}=x^3\).
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