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 161-170 of 649 questions.
If \(a=2-\sqrt{5}\) and \(b=2+\sqrt{5}\), what type of number is (a+b)?
A. परिमेय संख्याRational number
योग में \(-\sqrt{5}\) और \(\sqrt{5}\) कट जाते हैं। (a+b=4) परिमेय है। / In the sum \(-\sqrt{5}\) and \(\sqrt{5}\) cancel. (a+b=4) is rational.
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Which option is the value of \(\sqrt{0.25}+\sqrt{0.04}\)?
A. (0.7)
\(\sqrt{0.25}=0.5\) और \(\sqrt{0.04}=0.2\) है। योग (0.7) है जो परिमेय है। / \(\sqrt{0.25}=0.5\) and \(\sqrt{0.04}=0.2\). The sum is (0.7), which is rational.
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What is the value of \(\frac{\sqrt{45}}{\sqrt{5}}\)?
A. (3)
\(\frac{\sqrt{45}}{\sqrt{5}}=\sqrt{9}=3\) है। जड़ों की भाग में अंदर के अनुपात को सरल करें। / \(\frac{\sqrt{45}}{\sqrt{5}}=\sqrt{9}=3\). In division of roots simplify the ratio inside.
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If \(x=0.\overline{12}\), what type of number is (x)?
A. परिमेय संख्याRational number
ऊपर की रेखा बताती है कि (12) दोहरता है। आवर्ती दशमलव परिमेय होता है। / The bar shows that (12) repeats. A repeating decimal is rational.
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Which option is the simplified form of \(\sqrt{128}\)?
A. \(8\sqrt{2}\)
\(\sqrt{128}=\sqrt{64\times2}=8\sqrt{2}\) है। सबसे बड़ा पूर्ण वर्ग निकालना बेहतर तरीका है। / \(\sqrt{128}=\sqrt{64\times2}=8\sqrt{2}\). Taking out the greatest perfect square is the better method.
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Which option contains only irrational numbers?
A. \(\sqrt{6}\), \(\sqrt{10}\), \(\sqrt{15}\)
पहले विकल्प में कोई भी संख्या पूर्ण वर्ग की जड़ नहीं है। इसलिए सभी अपरिमेय हैं। / In the first option none is the root of a perfect square. So all are irrational.
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Which option contains only rational numbers?
A. (0.125), (-4), \(\sqrt{169}\)
(0.125) सांत है और \(\sqrt{169}=13\) है। पहले विकल्प की सभी संख्याएँ परिमेय हैं। / (0.125) is terminating and \(\sqrt{169}=13\). All numbers in the first option are rational.
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Which option gives the product of \(\sqrt{3}\) and \(\sqrt{27}\)?
A. (9)
\(\sqrt{3}\times\sqrt{27}=\sqrt{81}=9\) है। गुणन में जड़ों के अंदर के संख्याओं को गुणा करें। / \(\sqrt{3}\times\sqrt{27}=\sqrt{81}=9\). In multiplication multiply the numbers inside the roots.
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If \(y=\sqrt{2}+\sqrt{32}\), what is the simplified form of (y)?
A. \(5\sqrt{2}\)
\(\sqrt{32}=4\sqrt{2}\) है इसलिए \(y=5\sqrt{2}\) होगा। समान जड़ वाले पदों को जोड़ें। / \(\sqrt{32}=4\sqrt{2}\), so \(y=5\sqrt{2}\). Add like radical terms.
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Which statement is correct about the sum of two irrational numbers?
A. योग परिमेय या अपरिमेय दोनों हो सकता हैThe sum can be rational or irrational
(\sqrt{2}+\(-\sqrt{2}\)=0) परिमेय है पर \(\sqrt{2}+\sqrt{3}\) अपरिमेय है। इसलिए एक ही स्थायी नियम नहीं है। / (\sqrt{2}+\(-\sqrt{2}\)=0) is rational but \(\sqrt{2}+\sqrt{3}\) is irrational. So there is no single fixed rule.
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