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 171-180 of 651 questions.
Which is the simplified form of \(\frac{5}{\sqrt{5}}\)?
B. \(\sqrt{5}\)
\(\frac{5}{\sqrt{5}}=\sqrt{5}\) होता है। हर में मूल हो तो सरलीकरण ध्यान से करें। / \(\frac{5}{\sqrt{5}}=\sqrt{5}\). Simplify carefully when the denominator has a radical.
Login to save your score, XP, coins and progress.
How can \(\frac{1}{\sqrt{3}}\) be written after removing the radical from the denominator?
A. \(\frac{\sqrt{3}}{3}\)
\(\frac{1}{\sqrt{3}}\) को \(\frac{\sqrt{3}}{\sqrt{3}}\) से गुणा करने पर \(\frac{\sqrt{3}}{3}\) मिलता है। इसे हर का परिमेयकरण कहते हैं। / Multiplying \(\frac{1}{\sqrt{3}}\) by \(\frac{\sqrt{3}}{\sqrt{3}}\) gives \(\frac{\sqrt{3}}{3}\). This is called rationalising the denominator.
Login to save your score, XP, coins and progress.
Which option is a rational number?
D. \(0.454545\ldots\)
\(0.454545\ldots\) आवर्ती दशमलव है इसलिए परिमेय है। आवर्ती दशमलव को भिन्न में बदला जा सकता है। / \(0.454545\ldots\) is repeating so it is rational. A repeating decimal can be converted into a fraction.
Login to save your score, XP, coins and progress.
What type of number is \(\pi+2\)?
B. अपरिमेयIrrational
\(\pi\) अपरिमेय है और (2) परिमेय है, इसलिए योग अपरिमेय है। \(\pi\) को (22/7) के बराबर न मानें। / \(\pi\) is irrational and (2) is rational, so the sum is irrational. Do not treat \(\pi\) as equal to (22/7).
Login to save your score, XP, coins and progress.
Which statement is correct about (22/7)?
A. यह \(\pi\) का निकट मान हैIt is an approximation of \(\pi\)
(22/7) परिमेय है और \(\pi\) का निकट मान है। निकट मान को वास्तविक बराबरी न समझें। / (22/7) is rational and an approximation of \(\pi\). Do not treat an approximation as exact equality.
Login to save your score, XP, coins and progress.
If a number has decimal \(4.10110111011110\ldots\), what is it?
B. अपरिमेयIrrational
यह दशमलव असांत और अनावर्ती है इसलिए अपरिमेय है। निश्चित दोहराने वाला ब्लॉक नहीं है। / This decimal is non-terminating and non-repeating so it is irrational. There is no fixed repeating block.
Login to save your score, XP, coins and progress.
What is \(\sqrt{\frac{16}{25}}\) equal to?
B. \(\frac{4}{5}\)
\(\sqrt{\frac{16}{25}}=\frac{4}{5}\) है इसलिए यह परिमेय है। अंश और हर दोनों पूर्ण वर्ग हैं। / \(\sqrt{\frac{16}{25}}=\frac{4}{5}\), so it is rational. Both numerator and denominator are perfect squares.
Login to save your score, XP, coins and progress.
What type of number is \(\sqrt{\frac{7}{4}}\)?
B. अपरिमेयIrrational
\(\sqrt{\frac{7}{4}}=\frac{\sqrt{7}}{2}\) है और \(\sqrt{7}\) अपरिमेय है। भिन्न में भी पूर्ण वर्ग जाँचें। / \(\sqrt{\frac{7}{4}}=\frac{\sqrt{7}}{2}\) and \(\sqrt{7}\) is irrational. Check perfect squares even in fractions.
Login to save your score, XP, coins and progress.
What is the simplified form of \(10\sqrt{2}\div5\)?
A. \(2\sqrt{2}\)
\(10\sqrt{2}\div5=2\sqrt{2}\) है जो अपरिमेय है। संख्यात्मक गुणांक को अलग सरल करें। / \(10\sqrt{2}\div5=2\sqrt{2}\), which is irrational. Simplify the numerical coefficient separately.
Login to save your score, XP, coins and progress.
What type of number is \(-3\sqrt{11}\)?
B. अपरिमेयIrrational
\(\sqrt{11}\) अपरिमेय है और (-3) शून्येतर परिमेय गुणक है। इसलिए परिणाम अपरिमेय है। / \(\sqrt{11}\) is irrational and (-3) is a non-zero rational multiplier. So the result is irrational.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.