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 231-240 of 648 questions.
Which option is the value of the product of \(1+\sqrt{7}\) and \(1-\sqrt{7}\)?
A. (-6)
(\(1+\sqrt{7}\)\(1-\sqrt{7}\)=1-7=-6) है। संयुग्मी गुणन में अपरिमेय भाग हट जाता है। / (\(1+\sqrt{7}\)\(1-\sqrt{7}\)=1-7=-6). In conjugate multiplication the irrational part cancels.
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Which option is the simplified form of \(\sqrt{48}+\sqrt{108}-\sqrt{12}\)?
A. \(8\sqrt{3}\)
\(\sqrt{48}=4\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। परिणाम \(8\sqrt{3}\) है। / \(\sqrt{48}=4\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\), and \(\sqrt{12}=2\sqrt{3}\). The result is \(8\sqrt{3}\).
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Which option correctly gives the sum and product of \(2+\sqrt{3}\) and \(2-\sqrt{3}\)?
A. योग (4), गुणनफल (1)Sum (4), product (1)
योग में जड़ वाले पद कटते हैं और गुणनफल (4-3=1) है। संयुग्मी संख्याओं में यह तरीका तेज है। / The radical terms cancel in the sum and the product is (4-3=1). This method is quick for conjugates.
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Which option is the correct expansion of (\(\sqrt{5}-\sqrt{2}\)2)?
A. \(7-2\sqrt{10}\)
(\(\sqrt{5}-\sqrt{2}\)2=5+2-2\sqrt{10}) है। वर्ग सूत्र में (2ab) पद ध्यान से लगाएँ। / (\(\sqrt{5}-\sqrt{2}\)2=5+2-2\sqrt{10}). Apply the (2ab) term carefully in the square formula.
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If a decimal is terminating or repeating, what type of number is it?
A. परिमेय संख्याRational number
परिमेय संख्या का दशमलव प्रसार सांत या आवर्ती होता है। यह पहचान बहुत महत्वपूर्ण है। / The decimal expansion of a rational number is terminating or repeating. This identification is very important.
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If a decimal is non terminating and non repeating, what type of number is it?
A. अपरिमेय संख्याIrrational number
अनंत और अनावर्ती दशमलव अपरिमेय संख्या की पहचान है। आवर्ती भाग न दिखे तो सावधानी से जाँचें। / A non terminating and non repeating decimal identifies an irrational number. Check carefully if no repeating block appears.
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Which option correctly describes the nature of \(-\sqrt{47}\)?
A. अपरिमेय वास्तविक संख्याIrrational real number
\(\sqrt{47}\) अपरिमेय है क्योंकि (47) पूर्ण वर्ग नहीं है। उसका ऋण भी वास्तविक अपरिमेय है। / \(\sqrt{47}\) is irrational because (47) is not a perfect square. Its negative is also a real irrational number.
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Which option correctly describes the nature of \(\frac{1}{3}+\sqrt{11}\)?
A. अपरिमेय संख्याIrrational number
\(\frac{1}{3}\) परिमेय है और \(\sqrt{11}\) अपरिमेय है। उनका योग अपरिमेय होता है। / \(\frac{1}{3}\) is rational and \(\sqrt{11}\) is irrational. Their sum is irrational.
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Which option is the value of \(4\sqrt{7}-\sqrt{112}\)?
A. (0)
\(\sqrt{112}=\sqrt{16\times7}=4\sqrt{7}\) है। इसलिए \(4\sqrt{7}-4\sqrt{7}=0\) है। / \(\sqrt{112}=\sqrt{16\times7}=4\sqrt{7}\). Therefore \(4\sqrt{7}-4\sqrt{7}=0\).
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Which option is the simplified form of \(\sqrt{245}\)?
A. \(7\sqrt{5}\)
\(\sqrt{245}=\sqrt{49\times5}=7\sqrt{5}\) है। जड़ में पूर्ण वर्ग गुणनखंड पहचानें। / \(\sqrt{245}=\sqrt{49\times5}=7\sqrt{5}\). Identify the perfect square factor inside the root.
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