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 111-120 of 649 questions.
What type of number is \(\sqrt{7}\times\sqrt{11}\)?
A. अपरिमेय संख्याIrrational number
\(\sqrt{7}\times\sqrt{11}=\sqrt{77}\) है और (77) पूर्ण वर्ग नहीं है। इसलिए परिणाम अपरिमेय है। / \(\sqrt{7}\times\sqrt{11}=\sqrt{77}\) and (77) is not a perfect square. So the result is irrational.
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Which option is the sum of a rational and an irrational number that is irrational?
A. \(9+\sqrt{17}\)
(9) परिमेय है और \(\sqrt{17}\) अपरिमेय है। ऐसा योग अपरिमेय होता है। / (9) is rational and \(\sqrt{17}\) is irrational. Such a sum is irrational.
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Which option is an irrational number between (5) and (6)?
A. \(\sqrt{30}\)
क्योंकि (25<30<36) इसलिए \(\sqrt{30}\) (5) और (6) के बीच है। (30) पूर्ण वर्ग नहीं है इसलिए यह अपरिमेय है। / Since (25<30<36), \(\sqrt{30}\) lies between (5) and (6). (30) is not a perfect square so it is irrational.
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Which number is a rational number between (1) and (2)?
A. \(\frac{7}{5}\)
\(\frac{7}{5}=1.4\) है जो (1) और (2) के बीच है। भिन्न के रूप में होने से यह परिमेय है। / \(\frac{7}{5}=1.4\), which lies between (1) and (2). Being a fraction shows it is rational.
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Which option is a non terminating but repeating decimal?
A. (4.565656...)
(56) बार-बार दोहर रहा है इसलिए यह आवर्ती दशमलव है। आवर्ती दशमलव परिमेय होता है। / The block (56) repeats so it is a repeating decimal. A repeating decimal is rational.
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Which option is a terminating decimal?
A. (7.03125)
(7.03125) कुछ अंकों के बाद समाप्त हो जाता है। सांत दशमलव परिमेय होता है। / (7.03125) ends after a finite number of digits. A terminating decimal is rational.
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If \(x=\sqrt{19}\), what is \(x^2\)?
A. (19)
(\(\sqrt{19}\)2=19) होता है। वर्ग करने पर वर्गमूल हट जाती है। / (\(\sqrt{19}\)2=19). Squaring removes the square root.
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What is the simplified value of \(\frac{5}{\sqrt{5}}\)?
A. \(\sqrt{5}\)
\(\frac{5}{\sqrt{5}}=\sqrt{5}\) है क्योंकि \(5=\sqrt{5}\times\sqrt{5}\)। जड़ वाले हर को सरल करना सीखें। / \(\frac{5}{\sqrt{5}}=\sqrt{5}\) because \(5=\sqrt{5}\times\sqrt{5}\). Learn to simplify denominators with roots.
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Which option is the value of \(\sqrt{\frac{49}{64}}\)?
A. \(\frac{7}{8}\)
\(\sqrt{\frac{49}{64}}=\frac{\sqrt{49}}{\sqrt{64}}=\frac{7}{8}\) है। यह परिमेय संख्या है। / \(\sqrt{\frac{49}{64}}=\frac{\sqrt{49}}{\sqrt{64}}=\frac{7}{8}\). This is a rational number.
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What type of number is \(\sqrt[3]{27}\)?
A. परिमेय संख्याRational number
\(\sqrt[3]{27}=3\) है। पूर्ण घन की घनमूल परिमेय होती है। / \(\sqrt[3]{27}=3\). The cube root of a perfect cube is rational.
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