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 471-480 of 600 questions.
What is the value of \(\sqrt{27}\times\sqrt{3}\)?
B. 9
\(\sqrt{81}=9\)। मूलों के गुणन का नियम लगाएँ। / \(\sqrt{81}=9\). Apply radical multiplication.
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If \(a=\sqrt{6}\) and \(b=\sqrt{24}\) then what is (b-a)?
C. \(3\sqrt{6}\)
\(\sqrt{24}=2\sqrt{6}\) इसलिए अंतर \(\sqrt{6}\) है। सरल रूप पर ध्यान दें। / \(\sqrt{24}=2\sqrt{6}\), so the difference is \(\sqrt{6}\). Simplify first.
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Real numbers are the union of which sets?
B. परिमेय और अपरिमेयRational and irrational
यह वास्तविक संख्याओं की मूल परिभाषा है। इसे याद रखें। / This is the basic definition of real numbers. Remember it.
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What is the value of \(\sqrt{12}\times\sqrt{75}\)?
A. 30
\(\sqrt{900}=30\)। पहले गुणा करें फिर वर्गमूल लें। / \(\sqrt{900}=30\). Multiply first then take square root.
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If \(x=\sqrt{3}+\sqrt{2}\) then what is \(x^2-5\)?
A. \(2\sqrt{6}\)
\(x^2=5+2\sqrt{6}\) इसलिए उत्तर \(2\sqrt{6}\) है। सूत्र लागू करें। / \(x^2=5+2\sqrt{6}\), hence the result is \(2\sqrt{6}\). Apply identities.
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C. \(\frac{22}{7}\)
भिन्न \(\frac{22}{7}\) परिमेय है। बाकी अपरिमेय हैं। / \(\frac{22}{7}\) is rational. The others are irrational.
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What is the simplified form of \(\sqrt{147}\)?
A. \(7\sqrt{3}\)
\(147=49\times3\)। इसलिए \(\sqrt{147}=7\sqrt{3}\)। / \(147=49\times3\). Therefore \(\sqrt{147}=7\sqrt{3}\).
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If \(\sqrt{x}=12\) then what is (x-44)?
B. 100
(x=144) इसलिए (144-44=100)। वर्ग करें। / (x=144), so (144-44=100). Square both sides.
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Which option contains only irrational numbers?
A. \(\sqrt{2},\sqrt{5}\)
दोनों संख्याएँ अपरिमेय हैं। पूर्ण वर्गों से सावधान रहें। / Both numbers are irrational. Watch for perfect squares.
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What is the value of \(\sqrt{32}+\sqrt{8}\)?
B. \(6\sqrt{2}\)
\(\sqrt{32}=4\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\)। योग \(6\sqrt{2}\) है। / \(\sqrt{32}=4\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Sum is \(6\sqrt{2}\).
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