गणित (Mathematics) – Mathematics MCQ
गणित (Mathematics) – इन्जिनियरिङ प्रवेश
Mathematics · Engineering Entrance – Mathematics, Physics, Chemistry & English · १,३०८ प्रश्न
१,३०८ प्रश्न उपलब्ध। मोड छान्नुहोस्:
गणित (Mathematics): 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 survey of 200 people, 120 drink tea, 90 drink coffee and 40 drink both. The number who drink tea only is:
सही उत्तर: ख) 80
Tea only = n(T) − n(T ∩ C) = 120 − 40 = 80.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If n(A) = 40, n(B) = 30 and n(A ∪ B) = 55, then n(A ∩ B) equals:
सही उत्तर: क) 15
n(A ∩ B) = n(A) + n(B) − n(A ∪ B) = 40 + 30 − 55 = 15.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The sum of the first 10 terms of the series 1·3 + 2·5 + 3·7 + ... is:
सही उत्तर: ख) 825
The k-th term is k(2k + 1) = 2k² + k, so the sum is 2(385) + 55 = 825.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Three persons are chosen at random. The probability that they were born on three different days of the week is:
सही उत्तर: ग) 30/49
Favourable: 7 × 6 × 5 = 210 of 7³ = 343 equally likely cases, so 210/343 = 30/49.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The mean of a binomial distribution with n = 20 and p = 0.3 is:
सही उत्तर: घ) 6
Mean = np = 20 × 0.3 = 6.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Machine A makes 60% and machine B 40% of a factory's items; 2% of A's and 3% of B's items are defective. A randomly chosen item is defective. The probability that it was made by B is:
सही उत्तर: क) 1/2
By Bayes' theorem: (0.4 × 0.03)/(0.6 × 0.02 + 0.4 × 0.03) = 0.012/0.024 = 1/2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Three fair coins are tossed. The probability of getting at most one tail is:
सही उत्तर: क) 1/2
Outcomes with 0 tails (1) or 1 tail (3) give 4 of 8, i.e. 1/2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If the first and third quartiles of a distribution are 20 and 36, the quartile deviation is:
सही उत्तर: ख) 8
Quartile deviation = (Q₃ − Q₁)/2 = (36 − 20)/2 = 8.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The mean of 5 observations is 6. If one observation equal to 10 is removed, the mean of the remaining observations is:
सही उत्तर: ग) 5
The total is 30; after removing 10 the total is 20 over 4 observations, so the mean is 5.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A population grows at a rate proportional to its size and doubles in 10 years. The time it takes to become three times its initial size is about:
सही उत्तर: घ) 15.8 years
N = N₀e^(kt) with k = ln 2/10; tripling needs t = 10 ln 3/ln 2 ≈ 15.85 years.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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