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 91-100 of 649 questions.
Which option is the simplified form of \(\sqrt{28}\)?
A. \(2\sqrt{7}\)
\(\sqrt{28}=\sqrt{4\times7}=2\sqrt{7}\) है। पूर्ण वर्ग (4) बाहर आता है। / \(\sqrt{28}=\sqrt{4\times7}=2\sqrt{7}\). The perfect square (4) comes outside.
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Which option is the simplified form of \(\sqrt{147}\)?
A. \(7\sqrt{3}\)
\(\sqrt{147}=\sqrt{49\times3}=7\sqrt{3}\) है। बड़े पूर्ण वर्ग को जड़ से बाहर निकालें। / \(\sqrt{147}=\sqrt{49\times3}=7\sqrt{3}\). Take the large perfect square outside the root.
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Which number is a rational number between (-1) and (0)?
A. \(-\frac{1}{2}\)
\(-\frac{1}{2}\) (-1) और (0) के बीच है और परिमेय है। संख्या रेखा पर ऋणात्मक भिन्नों को ध्यान से रखें। / \(-\frac{1}{2}\) lies between (-1) and (0) and is rational. Place negative fractions carefully on the number line.
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Which number is an irrational number between (0) and (1)?
A. \(\frac{\sqrt{2}}{2}\)
\(\frac{\sqrt{2}}{2}\) अपरिमेय है और इसका मान (0) और (1) के बीच है। जड़ वाला भाग इसे अपरिमेय बनाता है। / \(\frac{\sqrt{2}}{2}\) is irrational and its value lies between (0) and (1). The root part makes it irrational.
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Which conclusion is correct if \(\sqrt{k}=12\)?
A. (k=144) और (k) पूर्ण वर्ग है(k=144) and (k) is a perfect square
\(\sqrt{k}=12\) से \(k=12^2=144\) मिलता है। इसलिए (k) पूर्ण वर्ग है। / From \(\sqrt{k}=12\), \(k=12^2=144\). Therefore (k) is a perfect square.
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For a positive integer (n), if \(\sqrt{n}\) is rational then what can be said about (n)?
A. (n) पूर्ण वर्ग है(n) is a perfect square
धनात्मक पूर्णांक की वर्गमूल परिमेय तभी होती है जब संख्या पूर्ण वर्ग हो। यह MCQ में सीधा नियम है। / The square root of a positive integer is rational only when the number is a perfect square. This is a direct MCQ rule.
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Which option is not a rational number?
A. \(\sqrt{29}\)
\(\sqrt{29}\) अपरिमेय है क्योंकि (29) पूर्ण वर्ग नहीं है। बाकी सभी परिमेय रूप में लिखे जा सकते हैं। / \(\sqrt{29}\) is irrational because (29) is not a perfect square. All others can be written in rational form.
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Which option is the correct simplified form of \(\sqrt{80}\)?
A. \(4\sqrt{5}\)
\(\sqrt{80}=\sqrt{16\times5}=4\sqrt{5}\) है। जड़ के अंदर पूर्ण वर्ग गुणनखंड खोजें। / \(\sqrt{80}=\sqrt{16\times5}=4\sqrt{5}\). Look for a perfect square factor inside the root.
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Which option shows the result of the sum of an irrational number and its opposite?
A. (0)
(\sqrt{2}+\(-\sqrt{2}\)=0) होता है। इससे याद रखें कि दो अपरिमेय संख्याओं का योग कभी-कभी परिमेय हो सकता है। / (\sqrt{2}+\(-\sqrt{2}\)=0). Remember that the sum of two irrational numbers can sometimes be rational.
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A. \(\sqrt{22}\)
\(\sqrt{22}\) अपरिमेय है क्योंकि (22) पूर्ण वर्ग नहीं है। परीक्षा में पहले पूर्ण वर्गों की जाँच करें। / \(\sqrt{22}\) is irrational because (22) is not a perfect square. In exams first check perfect squares.
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