गणित – Mathematics MCQ
गणित – डिप्लोमा प्रवेश
Mathematics · CTEVT Diploma Engineering Entrance · ७५१ प्रश्न
७५१ 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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A can finish a piece of work in 10 days and B can finish it in 15 days. Working together, they will finish it in:
सही उत्तर: घ) 6 days
Together they do 1/10 + 1/15 = 1/6 of the work per day, so they need 6 days. 12.5 days is the wrong average of the two times.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The price of an article is first increased by 20% and then decreased by 20%. The net change in price is:
सही उत्तर: क) 4% decrease
Net factor = 1.20 × 0.80 = 0.96, i.e. a 4% decrease. The decrease applies to a larger amount, so the changes do not cancel.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If f(x) = (x + 3)/2, then f⁻¹(x) is:
सही उत्तर: ख) 2x − 3
Let y = (x + 3)/2, so x = 2y − 3; hence f⁻¹(x) = 2x − 3. Check: f(2x − 3) = (2x − 3 + 3)/2 = x.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If f(x) = 3x − 1 and g(x) = x + 2, then f(g(2)) equals:
सही उत्तर: ग) 11
g(2) = 4, so f(4) = 3 × 4 − 1 = 11. 7 is g(f(2)) = 5 + 2; order of composition matters.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The inverse of the matrix A = [[2, 1], [1, 1]] is:
सही उत्तर: ग) [[1, −1], [−1, 2]]
|A| = 2 − 1 = 1; swap the diagonal elements and change the signs of the others: A⁻¹ = [[1, −1], [−1, 2]]. Check: A × A⁻¹ = I.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The determinant of the matrix [[3, 2], [1, 4]] is:
सही उत्तर: घ) 10
|A| = ad − bc = 3 × 4 − 2 × 1 = 10. 14 comes from adding instead of subtracting the products.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The number of subsets of a set containing 4 elements is:
सही उत्तर: क) 16
A set with n elements has 2ⁿ subsets, so 2⁴ = 16. 15 is the number of proper subsets.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In a survey of 100 people, 60 like tea, 50 like coffee and 20 like both. How many like neither?
सही उत्तर: ख) 10
People liking at least one = 60 + 50 − 20 = 90, so neither = 100 − 90 = 10. Forgetting to subtract those who like both gives 110, which is more than the total surveyed.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If n(A) = 20, n(B) = 15 and n(A ∩ B) = 5, then n(A ∪ B) is:
सही उत्तर: ख) 30
n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 20 + 15 − 5 = 30. 35 forgets to subtract the common part.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two fair dice are thrown together. The probability that the sum of the numbers is 7 is:
सही उत्तर: ग) 1/6
Sum 7 occurs as (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) — 6 of 36 outcomes, so P = 1/6. 5/36 is the probability of a sum of 6 or 8.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
यी अभ्यास प्रश्न हुन्, आधिकारिक प्रश्न होइनन्। पाठ्यक्रम, विज्ञापन र नतिजाका लागि सम्बन्धित निकायको आधिकारिक वेबसाइट हेर्नुहोस्। उत्तरमा गल्ती भेटे प्रश्नमुनिको "टिप्पणी / गल्ती रिपोर्ट" मा लेख्नुहोस्।
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