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 261-270 of 648 questions.
Which option represents a rational number?
A. \(7.\overline{125}\)
ऊपर की रेखा (125) के आवर्तन को बताती है। आवर्ती दशमलव परिमेय होता है। / The bar shows repetition of (125). A repeating decimal is rational.
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If \(x=\sqrt{23}\), what type of number is \(x^2+2x\)?
A. अपरिमेय संख्याIrrational number
\(x^2+2x=23+2\sqrt{23}\) है। परिमेय और अपरिमेय का योग अपरिमेय होता है। / \(x^2+2x=23+2\sqrt{23}\). The sum of a rational and an irrational number is irrational.
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Which option is the value of (\(\sqrt{3}+\sqrt{12}\)2)?
A. (27)
\(\sqrt{12}=2\sqrt{3}\) इसलिए कोष्ठक \(3\sqrt{3}\) बनता है। उसका वर्ग (27) है। / \(\sqrt{12}=2\sqrt{3}\), so the bracket becomes \(3\sqrt{3}\). Its square is (27).
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Which option is an irrational number between (9) and (10)?
A. \(\sqrt{85}\)
क्योंकि (81<85<100) इसलिए \(\sqrt{85}\) (9) और (10) के बीच है। (85) पूर्ण वर्ग नहीं है। / Since (81<85<100), \(\sqrt{85}\) lies between (9) and (10). (85) is not a perfect square.
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Which option is a rational number between (6) and (7)?
A. \(\frac{25}{4}\)
\(\frac{25}{4}=6.25\) है जो (6) और (7) के बीच है। भिन्न रूप परिमेयता बताता है। / \(\frac{25}{4}=6.25\), which lies between (6) and (7). Fraction form shows rationality.
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Which option correctly gives the two nearest integers between which \(\sqrt{11}\) lies?
A. (3) और (4)(3) and (4)
क्योंकि (9<11<16) इसलिए \(3<\sqrt{11}<4\)। वर्गों की मदद से अनुमान लगाएँ। / Since (9<11<16), \(3<\sqrt{11}<4\). Estimate using squares.
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Which option correctly compares \(\sqrt{130}\) and \(\sqrt{145}\)?
A. \(\sqrt{145}>\sqrt{130}\)
धनात्मक संख्याओं में अंदर की संख्या बड़ी हो तो वर्गमूल भी बड़ा होता है। (145>130) है। / For positive numbers a larger number inside the square root gives a larger root. Here (145>130).
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Which option is the value of \(\sqrt{0.36}+\sqrt{0.49}\)?
A. (1.3)
\(\sqrt{0.36}=0.6\) और \(\sqrt{0.49}=0.7\) है। योग (1.3) है जो परिमेय है। / \(\sqrt{0.36}=0.6\) and \(\sqrt{0.49}=0.7\). The sum is (1.3), which is rational.
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Which option is the value of \(\frac{\sqrt{147}}{\sqrt{3}}\)?
A. (7)
\(\frac{\sqrt{147}}{\sqrt{3}}=\sqrt{49}=7\) है। जड़ों के भाग में अंदर का भागफल सरल करें। / \(\frac{\sqrt{147}}{\sqrt{3}}=\sqrt{49}=7\). In division of roots simplify the quotient inside.
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Which option is the simplified form of \(\frac{4}{\sqrt{2}}\)?
A. \(2\sqrt{2}\)
\(\frac{4}{\sqrt{2}}=\frac{4\sqrt{2}}{2}=2\sqrt{2}\) है। हर में जड़ हो तो परिमेयकरण करें। / \(\frac{4}{\sqrt{2}}=\frac{4\sqrt{2}}{2}=2\sqrt{2}\). Rationalise when a root is in the denominator.
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