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 71-80 of 649 questions.
What type of number is \(2.\overline{18}\)?
A. परिमेय संख्याRational number
ऊपर की रेखा बताती है कि (18) दोहरता है। आवर्ती दशमलव परिमेय होता है। / The bar shows that (18) repeats. A repeating decimal is rational.
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If \(x=\sqrt{13}\), what is the value of \(x^2\)?
A. (13)
(\(\sqrt{13}\)2=13) होता है। वर्ग और वर्गमूल एक-दूसरे को समाप्त कर देते हैं। / (\(\sqrt{13}\)2=13). Squaring and taking the square root cancel each other.
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What is the simplified value of \(\frac{3}{\sqrt{3}}\)?
A. \(\sqrt{3}\)
\(\frac{3}{\sqrt{3}}=\sqrt{3}\) क्योंकि \(3=\sqrt{3}\times\sqrt{3}\)। जड़ वाले हर को सरल करने का अभ्यास करें। / \(\frac{3}{\sqrt{3}}=\sqrt{3}\) because \(3=\sqrt{3}\times\sqrt{3}\). Practice simplifying denominators with roots.
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Which option shows the result of multiplying an irrational number by zero?
A. (0) जो परिमेय है(0) which is rational
किसी भी वास्तविक संख्या को (0) से गुणा करने पर (0) मिलता है। (0) परिमेय संख्या है। / Multiplying any real number by (0) gives (0). (0) is a rational number.
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Which option is an example where the sum of two irrational numbers is rational?
A. (\sqrt{5}+\(-\sqrt{5}\))
(\sqrt{5}+\(-\sqrt{5}\)=0) है जो परिमेय है। इससे पता चलता है कि योग हमेशा अपरिमेय नहीं होता। / (\sqrt{5}+\(-\sqrt{5}\)=0), which is rational. This shows the sum is not always irrational.
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Which option is an example where the product of two irrational numbers is irrational?
A. \(\sqrt{2}\times\sqrt{5}\)
\(\sqrt{2}\times\sqrt{5}=\sqrt{10}\) है जो अपरिमेय है। समान जड़ों का गुणन अक्सर परिमेय दे सकता है। / \(\sqrt{2}\times\sqrt{5}=\sqrt{10}\), which is irrational. Multiplying equal roots can often give a rational number.
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What is the value of \(\sqrt{0.09}\)?
A. (0.3)
\(0.3\times0.3=0.09\) इसलिए \(\sqrt{0.09}=0.3\)। यह सांत दशमलव है। / Since \(0.3\times0.3=0.09\), \(\sqrt{0.09}=0.3\). It is a terminating decimal.
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What is the value of \(\sqrt{\frac{16}{25}}\)?
A. \(\frac{4}{5}\)
\(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\) है। यह परिमेय संख्या है। / \(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\). This is a rational number.
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What type of number is \(\sqrt[3]{8}\)?
A. परिमेय संख्याRational number
\(\sqrt[3]{8}=2\) है जो परिमेय है। पूर्ण घन की घनमूल परिमेय होती है। / \(\sqrt[3]{8}=2\), which is rational. The cube root of a perfect cube is rational.
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Which statement is correct about \(\sqrt[3]{4}\)?
A. यह अपरिमेय हैIt is irrational
(4) पूर्ण घन नहीं है इसलिए \(\sqrt[3]{4}\) अपरिमेय है। घनमूल में पूर्ण घन पहचानें। / (4) is not a perfect cube so \(\sqrt[3]{4}\) is irrational. Identify perfect cubes in cube roots.
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