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 131-140 of 649 questions.
Which option is the simplified form of \(\sqrt{150}\)?
A. \(5\sqrt{6}\)
\(\sqrt{150}=\sqrt{25\times6}=5\sqrt{6}\) है। जड़ में पूर्ण वर्ग गुणनखंड (25) है। / \(\sqrt{150}=\sqrt{25\times6}=5\sqrt{6}\). The perfect square factor inside the root is (25).
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Which option is the simplified form of \(\sqrt{200}\)?
A. \(10\sqrt{2}\)
\(\sqrt{200}=\sqrt{100\times2}=10\sqrt{2}\) है। सबसे बड़े पूर्ण वर्ग को बाहर निकालना अच्छा तरीका है। / \(\sqrt{200}=\sqrt{100\times2}=10\sqrt{2}\). Taking out the greatest perfect square is a good method.
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What is the simplified form of \(\sqrt{2}+\sqrt{18}\)?
A. \(4\sqrt{2}\)
\(\sqrt{18}=3\sqrt{2}\) इसलिए योग \(4\sqrt{2}\) है। पहले जड़ को सरल करें फिर जोड़ें। / \(\sqrt{18}=3\sqrt{2}\) so the sum is \(4\sqrt{2}\). First simplify the root and then add.
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What is the simplified form of \(\sqrt{3}+\sqrt{75}\)?
A. \(6\sqrt{3}\)
\(\sqrt{75}=5\sqrt{3}\) इसलिए कुल \(6\sqrt{3}\) है। समान जड़ वाले पद ही सीधे जुड़ते हैं। / \(\sqrt{75}=5\sqrt{3}\), so the total is \(6\sqrt{3}\). Only like radical terms add directly.
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Which option is correct about the number (0)?
A. यह परिमेय और वास्तविक हैIt is rational and real
\(0=\frac{0}{1}\) लिखा जा सकता है इसलिए यह परिमेय है। यह संख्या रेखा पर भी आता है। / (0) can be written as \(\frac{0}{1}\) so it is rational. It also lies on the number line.
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Which option correctly describes the decimal expansion of \(\frac{1}{6}\)?
A. अनंत और आवर्तीNon terminating and repeating
\(\frac{1}{6}=0.1666...\) है जो आवर्ती है। परिमेय संख्या का दशमलव सांत या आवर्ती होता है। / \(\frac{1}{6}=0.1666...\), which is repeating. A rational number has a terminating or repeating decimal.
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Which option is correct about (0.123456789101112...)?
A. यह अनंत और अनावर्ती हैIt is non terminating and non repeating
इस दशमलव में निश्चित दोहराव नहीं है। इसलिए यह अनंत और अनावर्ती माना जाता है। / This decimal has no fixed repetition. So it is considered non terminating and non repeating.
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Which option is a set of only rational numbers?
A. \({2,-5,0.4,\frac{7}{8}}\)
पहले समूह की सभी संख्याएँ \(\frac{p}{q}\) रूप में लिखी जा सकती हैं। बाकी समूहों में अपरिमेय संख्या है। / All numbers in the first set can be written in \(\frac{p}{q}\) form. The other sets contain an irrational number.
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Which option is a set of only irrational numbers?
A. \({\sqrt{3},\sqrt{5},\sqrt{12}}\)
\(\sqrt{3}\), \(\sqrt{5}\) और \(\sqrt{12}\) सभी अपरिमेय हैं। पूर्ण वर्ग और परिमेय संख्या वाले विकल्प हटाएँ। / \(\sqrt{3}\), \(\sqrt{5}\), and \(\sqrt{12}\) are all irrational. Remove options with perfect squares and rational numbers.
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If (p) and (q) are integers and \(q\neq0\), what is a number of the form \(\frac{p}{q}\) called?
A. परिमेय संख्याRational number
\(\frac{p}{q}\) रूप परिमेय संख्या की परिभाषा है। इसमें हर (q) शून्य नहीं होना चाहिए। / \(\frac{p}{q}\) form is the definition of a rational number. The denominator (q) must not be zero.
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