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 51-60 of 600 questions.
Which number is called an irrational number?
B. जिसे (pq) के रूप में नहीं लिखा जा सके / Cannot be written as (p / q)
अपरिमेय संख्या को (p/q) के रूप में नहीं लिखा जा सकता। परीक्षा में दशमलव रूप भी देखें। / An irrational number cannot be written as (p/q). In exams also check its decimal form.
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Which of the following numbers is irrational?
C. \(\sqrt{2}\)
\(\sqrt{2}\) अपरिमेय संख्या है। पूर्ण वर्ग का वर्गमूल ही आसानी से परिमेय होता है। / \(\sqrt{2}\) is an irrational number. A square root is easily rational only for perfect squares.
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What type of number is \(\sqrt{16}\)?
B. परिमेयRational
\(\sqrt{16}=4\) होता है इसलिए यह परिमेय है। पूर्ण वर्ग का वर्गमूल परिमेय होता है। / \(\sqrt{16}=4\) so it is rational. The square root of a perfect square is rational.
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Which statement is correct about \(\sqrt{7}\)?
B. यह अपरिमेय हैIt is irrational
(7) पूर्ण वर्ग नहीं है इसलिए \(\sqrt{7}\) अपरिमेय है। परीक्षा में पहले पूर्ण वर्ग पहचानें। / (7) is not a perfect square so \(\sqrt{7}\) is irrational. In exams first identify perfect squares.
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Choose the correct option about the number \(\pi\).
B. यह अपरिमेय हैIt is irrational
\(\pi\) अपरिमेय है और (22/7) केवल उसका मानक निकट मान है। बराबरी और निकट मान में फर्क रखें। / \(\pi\) is irrational and (22/7) is only a common approximation. Keep equality and approximation different.
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Which of these has a non-terminating and non-repeating decimal expansion?
C. \(\sqrt{3}\)
\(\sqrt{3}\) अपरिमेय है इसलिए इसका दशमलव असांत और अनावर्ती है। यही अपरिमेय की मुख्य पहचान है। / \(\sqrt{3}\) is irrational so its decimal is non-terminating and non-repeating. This is the main test for irrational numbers.
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What type of number is the decimal \(0.333\ldots\)?
B. परिमेयRational
\(0.333\ldots\) आवर्ती दशमलव है इसलिए परिमेय है। आवर्ती दशमलव को भिन्न में बदला जा सकता है। / \(0.333\ldots\) is repeating so it is rational. A repeating decimal can be converted into a fraction.
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If (r) is rational and (x) is irrational then what is (r+x) generally when (r=5) and \(x=\sqrt{2}\)?
B. अपरिमेयIrrational
\(5+\sqrt{2}\) अपरिमेय है क्योंकि परिमेय में अपरिमेय जोड़ने से अपरिमेय मिलता है। ऐसे सवाल में अपरिमेय भाग देखें। / \(5+\sqrt{2}\) is irrational because adding a rational and an irrational gives an irrational. In such questions watch the irrational part.
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What type of number is (3) times \(\sqrt{5}\)?
B. अपरिमेयIrrational
\(3\sqrt{5}\) अपरिमेय है क्योंकि शून्येतर परिमेय से गुणा करने पर अपरिमेय ही रहता है। गुणक (0) न हो यह ध्यान रखें। / \(3\sqrt{5}\) is irrational because multiplying by a non-zero rational keeps it irrational. Remember the multiplier must not be (0).
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What is \(0\times\sqrt{11}\) equal to?
B. (0)
\(0\times\sqrt{11}=0\) होता है और (0) परिमेय है। शून्य से गुणा करने पर परिणाम हमेशा शून्य होता है। / \(0\times\sqrt{11}=0\) and (0) is rational. Multiplication by zero always gives zero.
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