गणित – Mathematics MCQ
गणित – IT प्रवेश
Mathematics · IT Entrance – B.Sc. CSIT, BIT & BCA · ४०७ प्रश्न
४०७ प्रश्न उपलब्ध। मोड छान्नुहोस्:
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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If a committee of 4 is to be formed from a group of 9 people, and a specific individual must be on the committee, how many different committees can be formed?
सही उत्तर: क) 56
Once the specific individual is included, we need to select the remaining 3 members from the remaining 8 people. This is represented by ⁸C₃, which equals 56.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The number of rows in the truth table of a compound statement made of 4 simple statements is:
सही उत्तर: ग) 16
Each simple statement has 2 truth values, so there are 2⁴ = 16 rows.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The negation of the statement p → q is:
सही उत्तर: घ) p ∧ ~q
p → q ≡ ~p ∨ q, so its negation is p ∧ ~q (by De Morgan's law).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A fair coin is tossed 4 times. The probability of getting at least 3 heads is:
सही उत्तर: ख) 5/16
P(X ≥ 3) = [⁴C₃ + ⁴C₄]/2⁴ = (4 + 1)/16 = 5/16.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Box I has 2 red and 3 white balls; Box II has 4 red and 1 white ball. A box is chosen at random and a ball drawn from it is red. The probability that it came from Box II is:
सही उत्तर: ख) 2/3
By Bayes' theorem: (1/2 × 4/5)/(1/2 × 2/5 + 1/2 × 4/5) = (4/10)/(6/10) = 2/3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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An event has probability 0.3 of occurring in a single trial. The probability that it occurs at least once in 2 independent trials is:
सही उत्तर: क) 0.51
P(at least once) = 1 − (0.7)² = 1 − 0.49 = 0.51.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If every observation of a data set is multiplied by 2, its variance becomes:
सही उत्तर: क) 4 times the original
Var(kX) = k² Var(X), so multiplying by 2 multiplies the variance by 4.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For a moderately skewed distribution with mean 30 and median 28, the mode is approximately:
सही उत्तर: घ) 24
Mode = 3 Median − 2 Mean = 84 − 60 = 24.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The range of the data 7, 3, 12, 9, 5 is:
सही उत्तर: ग) 9
Range = largest − smallest = 12 − 3 = 9.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A random variable X takes values 0, 1, 2 with probabilities 0.2, 0.5, 0.3 respectively. Its expected value E(X) is:
सही उत्तर: क) 1.1
E(X) = 0(0.2) + 1(0.5) + 2(0.3) = 1.1.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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