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 481-490 of 600 questions.
If \(a=\sqrt{10}\) then what is \(\frac{a^2}{2}\)?
C. 5
\(a^2=10\) इसलिए \(\frac{10}{2}=5\)। पहले वर्ग निकालें। / \(a^2=10\), so \(\frac{10}{2}=5\). Evaluate the square first.
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What is the simplified form of \(\sqrt{108}\)?
A. \(6\sqrt{3}\)
\(108=36\times3\)। इसलिए \(\sqrt{108}=6\sqrt{3}\)। / \(108=36\times3\). Thus \(\sqrt{108}=6\sqrt{3}\).
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If \(x=\sqrt{2}\) then what is (3x-x)?
A. \(2\sqrt{2}\)
समान पदों का घटाव करें। उत्तर \(2\sqrt{2}\) है। / Subtract like terms. The answer is \(2\sqrt{2}\).
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B. \(0.6666\ldots\)
एक ही अंक बार बार दोहर रहा है। इसलिए आवर्ती है। / The same digit repeats indefinitely. Hence it is recurring.
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What is the value of \(\sqrt{63}-\sqrt{28}\)?
A. \(\sqrt{7}\)
\(\sqrt{63}=3\sqrt{7}\) और \(\sqrt{28}=2\sqrt{7}\)। अंतर \(\sqrt{7}\) है। / \(\sqrt{63}=3\sqrt{7}\) and \(\sqrt{28}=2\sqrt{7}\). Difference is \(\sqrt{7}\).
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If \(x=\sqrt{15}\) then what is \(x^2+10\)?
C. 25
\(x^2=15\) इसलिए उत्तर 25 है। सरल गणना करें। / \(x^2=15\), so the answer is 25. Simple evaluation.
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Which option is a real number?
C. \(\sqrt{49}\)
\(\sqrt{49}=7\) वास्तविक संख्या है। ऋणात्मक के वर्गमूल वास्तविक नहीं हैं। / \(\sqrt{49}=7\) is real. Square roots of negatives are not real.
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What is the simplified form of \(\sqrt{300}\)?
A. \(10\sqrt{3}\)
\(300=100\times3\)। इसलिए \(\sqrt{300}=10\sqrt{3}\)। / \(300=100\times3\). Therefore \(\sqrt{300}=10\sqrt{3}\).
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If \(a=\sqrt{2}+\sqrt{8}\) then what is (a)?
B. \(3\sqrt{2}\)
\(\sqrt{8}=2\sqrt{2}\) इसलिए योग \(3\sqrt{2}\) है। / \(\sqrt{8}=2\sqrt{2}\), so the sum is \(3\sqrt{2}\).
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Which option contains only rational numbers?
A. \(\frac{5}{6},-3\)
भिन्न और पूर्णांक दोनों परिमेय हैं। अन्य विकल्पों में अपरिमेय हैं। / Fractions and integers are rational. Other options contain irrationals.
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