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 121-130 of 649 questions.
Which statement is correct about \(\sqrt[3]{9}\)?
A. यह अपरिमेय हैIt is irrational
(9) पूर्ण घन नहीं है इसलिए \(\sqrt[3]{9}\) अपरिमेय है। घनमूल में पूर्ण घन पहचानना जरूरी है। / (9) is not a perfect cube so \(\sqrt[3]{9}\) is irrational. Identifying perfect cubes is important in cube roots.
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If (a) is rational and (b) is irrational then what type of number is (a-b)?
A. अपरिमेय संख्याIrrational number
परिमेय और अपरिमेय का अंतर अपरिमेय होता है। यह गुण गैर मिश्रित संख्याओं को पहचानने में मदद करता है। / The difference of a rational and an irrational number is irrational. This property helps identify mixed expressions.
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If (r) is a non zero rational number and (s) is irrational then what is (rs)?
A. अपरिमेय संख्याIrrational number
गैर शून्य परिमेय गुणक अपरिमेय संख्या को अपरिमेय ही रखता है। शर्त \(r\neq0\) महत्वपूर्ण है। / A non zero rational multiplier keeps an irrational number irrational. The condition \(r\neq0\) is important.
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Which option is a rational number between (0) and (1)?
A. \(\frac{4}{9}\)
\(\frac{4}{9}\) (0) और (1) के बीच है और परिमेय है। भिन्न को संख्या रेखा पर रखें। / \(\frac{4}{9}\) lies between (0) and (1) and is rational. Place the fraction on the number line.
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Which option is not a whole number but is a real number?
A. (-3)
(-3) वास्तविक संख्या है लेकिन पूर्ण संख्या नहीं है। पूर्ण संख्याएँ (0) से शुरू होती हैं। / (-3) is a real number but not a whole number. Whole numbers start from (0).
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Which option is both a natural number and a rational number?
A. (14)
(14) प्राकृतिक संख्या है और \(14=\frac{14}{1}\) भी है। इसलिए यह परिमेय भी है। / (14) is a natural number and \(14=\frac{14}{1}\). So it is also rational.
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If (n) is a positive integer and \(\sqrt{n}\) is irrational then what can be said about (n)?
A. (n) पूर्ण वर्ग नहीं है(n) is not a perfect square
धनात्मक पूर्णांक की वर्गमूल अपरिमेय तब होती है जब वह पूर्ण वर्ग नहीं होता। यह सरल नियम याद रखें। / The square root of a positive integer is irrational when it is not a perfect square. Remember this simple rule.
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Which option is the value of \(\sqrt{0.16}\)?
A. (0.4)
\(0.4\times0.4=0.16\) इसलिए \(\sqrt{0.16}=0.4\)। यह परिमेय संख्या है। / Since \(0.4\times0.4=0.16\), \(\sqrt{0.16}=0.4\). This is a rational number.
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Which option is real but irrational?
A. \(\sqrt{41}\)
\(\sqrt{41}\) वास्तविक है और (41) पूर्ण वर्ग नहीं है। इसलिए यह अपरिमेय है। / \(\sqrt{41}\) is real and (41) is not a perfect square. So it is irrational.
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Which option is formed by adding a rational number to an irrational number?
A. \(\frac{3}{5}+\sqrt{10}\)
\(\frac{3}{5}\) परिमेय है और \(\sqrt{10}\) अपरिमेय है। यह योग अपरिमेय होगा। / \(\frac{3}{5}\) is rational and \(\sqrt{10}\) is irrational. This sum will be irrational.
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