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 600 questions.
What type of number is \(2+\sqrt{5}\)?
B. अपरिमेयIrrational
परिमेय (2) में अपरिमेय \(\sqrt{5}\) जोड़ने से अपरिमेय संख्या मिलती है। अपरिमेय भाग को अलग पहचानें। / Adding irrational \(\sqrt{5}\) to rational (2) gives an irrational number. Identify the irrational part separately.
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What type of number is \(9-\sqrt{7}\)?
A. अपरिमेयIrrational
\(\sqrt{7}\) अपरिमेय है इसलिए \(9-\sqrt{7}\) भी अपरिमेय है। परिमेय घटाने या जोड़ने से अपरिमेयता बनी रहती है। / \(\sqrt{7}\) is irrational so \(9-\sqrt{7}\) is also irrational. Adding or subtracting a rational keeps irrationality.
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What is \(\sqrt{\frac{4}{9}}\) equal to?
A. \(\frac{2}{3}\)
\(\sqrt{\frac{4}{9}}=\frac{2}{3}\) है इसलिए यह परिमेय है। भिन्न में अंश और हर दोनों का वर्गमूल लें। / \(\sqrt{\frac{4}{9}}=\frac{2}{3}\) so it is rational. Take square roots of numerator and denominator.
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What type of number is \(\sqrt{\frac{2}{9}}\)?
B. अपरिमेयIrrational
\(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\) है जो अपरिमेय है। यदि अंश पूर्ण वर्ग न हो तो ध्यान रखें। / \(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\) which is irrational. Be careful when the numerator is not a perfect square.
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Which of these numbers is not irrational?
C. \(\sqrt{25}\)
\(\sqrt{25}=5\) है इसलिए यह परिमेय है। पूर्ण वर्गों के वर्गमूल अपरिमेय नहीं होते। / \(\sqrt{25}=5\) so it is rational. Square roots of perfect squares are not irrational.
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How is the decimal \(0.123456789101112\ldots\) considered?
C. अपरिमेयIrrational
यह दशमलव असांत और अनावर्ती है इसलिए अपरिमेय है। दोहराने वाला निश्चित ब्लॉक नहीं है। / This decimal is non-terminating and non-repeating so it is irrational. It has no fixed repeating block.
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Which number can be written in the form (p/q) where \(q\neq0\)?
A. परिमेय संख्याRational number
(p/q) रूप परिमेय संख्या की पहचान है। अपरिमेय को ऐसे नहीं लिखा जा सकता। / The form (p/q) identifies a rational number. An irrational number cannot be written so.
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What type of number is \(\sqrt{0}\)?
B. परिमेयRational
\(\sqrt{0}=0\) और (0) परिमेय है। शून्य को भी (0/1) लिखा जा सकता है। / \(\sqrt{0}=0\) and (0) is rational. Zero can be written as (0/1).
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Choose the correct type of \(\sqrt{1}\).
A. परिमेयRational
\(\sqrt{1}=1\) है इसलिए यह परिमेय है। (1) पूर्ण वर्ग है। / \(\sqrt{1}=1\) so it is rational. (1) is a perfect square.
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What type of number is (3.14)?
B. परिमेयRational
(3.14) सांत दशमलव है इसलिए परिमेय है। सांत दशमलव को भिन्न में बदला जा सकता है। / (3.14) is a terminating decimal so it is rational. A terminating decimal can be converted into a fraction.
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