Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 341-350 of 600 questions.
Which is the decimal expansion of \( \frac{11}{24} \)?
A. \(0.45833\ldots\)
\(11\div24=0.45833\ldots\) है। यहां अंत में (3) दोहरता है। / \(11\div24=0.45833\ldots\). Here (3) repeats at the end.
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C. (7)
\(2^7\) को \(10^7\) बनाने के लिए \(5^7\) से गुणा करना पड़ेगा। इसलिए अधिकतम (7) दशमलव स्थान हो सकते हैं। / To make \(2^7\) into \(10^7\), we multiply by \(5^7\). So there can be at most (7) decimal places.
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B. (6)
(2) और (5) की घातों में बड़ी घात (6) है। इसलिए दशमलव में अधिकतम (6) स्थान होंगे। / The larger exponent among (2) and (5) is (6). So the decimal will have at most (6) places.
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What type of decimal is \(0.02002000200002\ldots\)?
C. असांत अनावर्तीNon-terminating non-recurring
इसमें (2) के बीच शून्यों की संख्या बढ़ती है, इसलिए निश्चित दोहराव नहीं है। ऐसा दशमलव असांत अनावर्ती होता है। / The number of zeros between (2)'s increases, so there is no fixed repetition. Such a decimal is non-terminating non-recurring.
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What is obtained by converting (0.0008) into a percentage?
A. (0.08%)
\(0.0008\times100=0.08\), इसलिए (0.08%) है। प्रतिशत में बदलने के लिए (100) से गुणा करें। / \(0.0008\times100=0.08\), so it is (0.08%). Multiply by (100) to convert into percentage.
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What is obtained by multiplying (0.004096) by (100000)?
B. (409.6)
(100000) से गुणा करने पर दशमलव बिंदु पांच स्थान दाईं ओर जाता है। इसलिए \(0.004096\times100000=409.6\) है। / On multiplying by (100000), the decimal point moves five places to the right. Therefore, \(0.004096\times100000=409.6\).
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Which statement about (0.6), \(0.59\overline{9}\), and \( \frac{3}{5} \) is correct?
C. \(0.6=0.59\overline{9}=\frac{3}{5}\)
\(0.59\overline{9}=0.6000\ldots\) और \( \frac{3}{5}=0.6 \) है। दोहरते (9) को सही तरह पहचानें। / \(0.59\overline{9}=0.6000\ldots\) and \( \frac{3}{5}=0.6 \). Identify repeating (9)'s correctly.
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Which decimal is less than \( \frac{7}{8} \) but greater than (0.873)?
B. (0.8735)
\( \frac{7}{8}=0.875 \), इसलिए (0.8735), (0.873) से बड़ा और (0.875) से छोटा है। सीमा मानों को दशमलव में बदलें। / \( \frac{7}{8}=0.875 \), so (0.8735) is greater than (0.873) and less than (0.875). Convert boundary values into decimals.
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If (0.8a7>0.837), how many values of digit (a) are possible?
A. (6)
दसवें स्थान समान हैं और सौवें स्थान पर (a>3) होना चाहिए। इसलिए (a=4,5,6,7,8,9) यानी (6) मान संभव हैं। / The tenths digits are equal and the hundredths digit must satisfy (a>3). So (a=4,5,6,7,8,9), giving (6) possible values.
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What is the decimal form of \( \frac{37}{128} \)?
A. (0.2890625)
\(128\times78125=10000000\), इसलिए \( \frac{37}{128}=0.2890625 \) है। (2) की घात वाले हर का दशमलव सांत होता है। / \(128\times78125=10000000\), so \( \frac{37}{128}=0.2890625 \). A denominator that is a power of (2) gives a terminating decimal.
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