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 41-50 of 649 questions.
Which number has square (2) and is irrational?
A. \(\sqrt{2}\)
(\(\sqrt{2}\)2=2) और \(\sqrt{2}\) अपरिमेय है। यह एक महत्वपूर्ण मूल उदाहरण है। / (\(\sqrt{2}\)2=2) and \(\sqrt{2}\) is irrational. This is an important basic example.
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What type of number is \(7-\sqrt{2}\)?
A. अपरिमेय संख्याIrrational number
परिमेय (7) से अपरिमेय \(\sqrt{2}\) घटाने पर परिणाम अपरिमेय होता है। संकेत बदलने से गुण नहीं बदलता। / Subtracting irrational \(\sqrt{2}\) from rational (7) gives an irrational number. Changing the sign does not change this property.
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Which conclusion is correct if (n) is not a perfect square in the number \(\sqrt{n}\)?
A. \(\sqrt{n}\) अपरिमेय होगी\(\sqrt{n}\) will be irrational
धनात्मक पूर्णांक (n) पूर्ण वर्ग न हो तो \(\sqrt{n}\) अपरिमेय होती है। यह आसान परीक्षा नियम है। / If positive integer (n) is not a perfect square then \(\sqrt{n}\) is irrational. This is an easy exam rule.
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Which number is the correct simplified form of \(\sqrt{50}\)?
A. \(5\sqrt{2}\)
\(\sqrt{50}=\sqrt{25\times2}=5\sqrt{2}\) है। जड़ के अंदर सबसे बड़ा पूर्ण वर्ग खोजें। / \(\sqrt{50}=\sqrt{25\times2}=5\sqrt{2}\). Find the greatest perfect square inside the root.
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Which option is an example of the product of a rational and an irrational number that is irrational?
A. \(5\times\sqrt{3}\)
(5) गैर शून्य परिमेय है इसलिए \(5\sqrt{3}\) अपरिमेय है। ध्यान रखें (0) से गुणा करने पर परिणाम (0) होता है। / (5) is a non zero rational number so \(5\sqrt{3}\) is irrational. Remember multiplication by (0) gives (0).
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If \(x=2+\sqrt{5}\), what type of number is (x-2)?
A. अपरिमेय संख्याIrrational number
\(x-2=\sqrt{5}\) है जो अपरिमेय है। ऐसे प्रश्नों में पहले अभिव्यक्ति को सरल करें। / \(x-2=\sqrt{5}\), which is irrational. In such questions simplify the expression first.
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Which decimal is non terminating and non repeating?
A. (0.2020020002...)
(0.2020020002...) में कोई स्थायी दोहराव नहीं है। अनंत और अनावर्ती दशमलव अपरिमेय होता है। / (0.2020020002...) has no fixed repetition. A non terminating and non repeating decimal is irrational.
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What do we get after simplifying \(\sqrt{98}\)?
A. \(7\sqrt{2}\)
\(\sqrt{98}=\sqrt{49\times2}=7\sqrt{2}\) है। पूर्ण वर्ग (49) को जड़ से बाहर निकालें। / \(\sqrt{98}=\sqrt{49\times2}=7\sqrt{2}\). Take the perfect square (49) outside the root.
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Which statement is correct if a decimal is terminating?
A. वह परिमेय संख्या होती हैIt is a rational number
सांत दशमलव को \(\frac{p}{q}\) रूप में लिखा जा सकता है। इसलिए वह परिमेय और वास्तविक होता है। / A terminating decimal can be written in \(\frac{p}{q}\) form. So it is rational and real.
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Which number is an example of an irrational number?
A. \(\sqrt{15}\)
\(\sqrt{15}\) में (15) पूर्ण वर्ग नहीं है इसलिए यह अपरिमेय है। परीक्षा में पूर्ण वर्ग पहचानना बहुत उपयोगी है। / \(\sqrt{15}\) is irrational because (15) is not a perfect square. Identifying perfect squares is very useful in exams.
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