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 101-110 of 600 questions.
What type of real number is \( \sqrt{64} \)?
A. परिमेय वास्तविक संख्याRational real number
\( \sqrt{64}=8 \) है और (8) परिमेय संख्या है। पूर्ण वर्ग का वर्गमूल परिमेय होता है। / \( \sqrt{64}=8 \) and (8) is rational. The square root of a perfect square is rational.
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Which decimal is a rational real number?
B. (0.272727...)
(0.272727...) आवर्ती दशमलव है इसलिए परिमेय है। आवर्ती दशमलव को भिन्न में बदला जा सकता है। / (0.272727...) is repeating so it is rational. A repeating decimal can be converted into a fraction.
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Between which two integers does \( \sqrt{11} \) lie on the number line?
C. (3) और (4)(3) and (4)
\(3^2=9\) और \(4^2=16\) है इसलिए \( \sqrt{11} \) (3) और (4) के बीच है। वर्गों से वर्गमूल का स्थान पहचानें। / \(3^2=9\) and \(4^2=16\) so \( \sqrt{11} \) lies between (3) and (4). Use squares to locate square roots.
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What is the simplified surd form of \( \sqrt{98} \)?
A. \(7\sqrt{2}\)
\(98=49\times2\) इसलिए \( \sqrt{98}=7\sqrt{2} \)। सबसे बड़ा पूर्ण वर्ग गुणनखंड चुनें। / Since \(98=49\times2\), \( \sqrt{98}=7\sqrt{2} \). Choose the largest perfect-square factor.
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What is obtained by simplifying \( \sqrt{72} \)?
B. \(6\sqrt{2}\)
\(72=36\times2\) इसलिए \( \sqrt{72}=6\sqrt{2} \)। पूर्ण वर्ग को वर्गमूल से बाहर निकालें। / Since \(72=36\times2\), \( \sqrt{72}=6\sqrt{2} \). Take the perfect square outside the square root.
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Which is the simplified form of \( \sqrt{63} \)?
C. \(3\sqrt{7}\)
\(63=9\times7\) इसलिए \( \sqrt{63}=3\sqrt{7} \)। पूर्ण वर्ग गुणनखंड पहचानना जरूरी है। / Since \(63=9\times7\), \( \sqrt{63}=3\sqrt{7} \). Identifying perfect-square factors is important.
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What is the value of \( \sqrt{2}\times\sqrt{50} \)?
D. (10)
\( \sqrt{2}\times\sqrt{50}=\sqrt{100}=10 \)। गुणा में वर्गमूल के अंदर की संख्याएँ गुणा करें। / \( \sqrt{2}\times\sqrt{50}=\sqrt{100}=10 \). In multiplication, multiply the numbers inside square roots.
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What is the value of \( \sqrt{80}\div\sqrt{5} \)?
A. (4)
\( \frac{\sqrt{80}}{\sqrt{5}}=\sqrt{16}=4 \)। भाग करते समय वर्गमूल के अंदर का भाग लें। / \( \frac{\sqrt{80}}{\sqrt{5}}=\sqrt{16}=4 \). During division, divide the numbers inside square roots.
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What is the simplified form of \(4\sqrt{2}+5\sqrt{2}\)?
B. \(9\sqrt{2}\)
समान करणी पदों के गुणांक जोड़े जाते हैं। इसलिए \(4\sqrt{2}+5\sqrt{2}=9\sqrt{2}\)। / Coefficients of like surd terms are added. Thus \(4\sqrt{2}+5\sqrt{2}=9\sqrt{2}\).
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What is the simplified form of \(9\sqrt{7}-4\sqrt{7}\)?
C. \(5\sqrt{7}\)
समान करणी पदों में गुणांक घटते हैं। इसलिए \(9\sqrt{7}-4\sqrt{7}=5\sqrt{7}\)। / For like surd terms, subtract the coefficients. Hence \(9\sqrt{7}-4\sqrt{7}=5\sqrt{7}\).
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