Quantitative (गणित) – Quantitative Ability MCQ
Quantitative (गणित) – व्यवस्थापन प्रवेश
Quantitative Ability · Management Entrance – English, Quant, Logical Reasoning & GK · १,३१७ प्रश्न
१,३१७ प्रश्न उपलब्ध। मोड छान्नुहोस्:
Quantitative (गणित): प्रश्न र उत्तर
सही लागेको विकल्पमा थिच्नुहोस्। सही भए हरियो, गलत भए रातो देखिन्छ; ३ सेकेन्डपछि सही उत्तर र व्याख्या देखिन्छ।
सही: ० / ०
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In a factory 40% of the workers are women. 30% of the women and 50% of the men are skilled. What percentage of the skilled workers are women?
सही उत्तर: ख) About 28.6%
Per 100 workers: skilled women = 0.3 × 40 = 12, skilled men = 0.5 × 60 = 30. Women share = 12/42 ≈ 28.6%.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The letters of the word LEVEL are arranged at random. What is the probability that the arrangement reads the same forwards and backwards?
सही उत्तर: घ) 1/15
Distinct arrangements = 5!/(2! 2!) = 30. A palindrome must have V in the middle and the first two letters L, E in either order (LEVEL, ELVLE): 2/30 = 1/15.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In how many ways can 4 boys and 4 girls stand in a row so that boys and girls alternate?
सही उत्तर: ग) 1,152
The pattern can start with a boy or a girl (2 ways), and boys and girls can be arranged in 4! each: 2 × 24 × 24 = 1,152.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A data set has mean 20 and standard deviation 2. Each observation is multiplied by 3 and then 5 is subtracted. What are the new mean and standard deviation?
सही उत्तर: क) 55 and 6
Mean becomes 3 × 20 − 5 = 55. Subtracting a constant does not change spread, and multiplying by 3 triples the SD: 6.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two fair dice are thrown. What is the expected value of the larger of the two numbers shown?
सही उत्तर: ग) 161/36
P(max = k) = (2k − 1)/36, so E = Σ k(2k − 1)/36 = (1 + 6 + 15 + 28 + 45 + 66)/36 = 161/36 ≈ 4.47.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many four-digit numbers have digits that add up to 4?
सही उत्तर: घ) 20
Put the first digit as 1 + a with a ≥ 0; then a + b + c + d = 3 in non-negative integers: C(6, 3) = 20.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A committee of 3 is to be chosen from 5 men and 4 women so that it has more women than men. In how many ways can this be done?
सही उत्तर: ख) 34
2 women + 1 man: C(4, 2) × 5 = 30; 3 women: C(4, 3) = 4. Total 34.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A lot of 10 bulbs contains 3 defective ones. If 2 bulbs are chosen at random, what is the probability that at least one is defective?
सही उत्तर: क) 8/15
P(none defective) = C(7, 2)/C(10, 2) = 21/45 = 7/15, so P(at least one) = 1 − 7/15 = 8/15.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A fair die is rolled 4 times. What is the probability of getting exactly two sixes?
सही उत्तर: ग) 25/216
P = C(4, 2) × (1/6)² × (5/6)² = 6 × 25/1296 = 150/1296 = 25/216.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In how many ways can 5 people stand in a row so that two particular people, A and B, are not next to each other?
सही उत्तर: घ) 72
Total 5! = 120. With A and B together: 4! × 2 = 48. Not together: 120 − 48 = 72.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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