CTEVT डिप्लोमा इन्जिनियरिङ डिप्लोमा इन सिभिल/कम्प्युटर/इलेक्ट्रिकल प्रवेश तयारी
CTEVT डिप्लोमा इन्जिनियरिङ – डिप्लोमा इन सिभिल/कम्प्युटर/इलेक्ट्रिकल प्रवेश
CTEVT Diploma Entrance · CTEVT Diploma in Engineering
१,५२९ प्रश्न उपलब्ध। मोड छान्नुहोस्:
CTEVT डिप्लोमा इन्जिनियरिङ प्रवेश: 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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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)
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A bag contains 5 red and 3 blue balls. One ball is drawn at random. The probability that it is blue is:
सही उत्तर: घ) 3/8
Total balls = 8, blue = 3, so P = 3/8. 3/5 wrongly compares blue with red instead of with the total.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A card is drawn at random from a well-shuffled pack of 52 cards. The probability that it is a king is:
सही उत्तर: क) 1/13
There are 4 kings, so P = 4/52 = 1/13. 1/4 is the probability of a particular suit.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two fair coins are tossed together. The probability of getting at least one head is:
सही उत्तर: क) 3/4
Outcomes: HH, HT, TH, TT; three have at least one head, so P = 3/4. Equivalently 1 − P(TT) = 1 − 1/4.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A fair die is thrown once. The probability of getting a prime number is:
सही उत्तर: ख) 1/2
Primes on a die are 2, 3 and 5, so P = 3/6 = 1/2. 1 is not a prime number, a common slip that gives 2/3.
💬 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।
नमस्ते! पाठ्यक्रम, सामान्य ज्ञान, भाषा परीक्षा वा कुनै प्रश्नको उत्तर बुझ्न सोध्नुहोस्।
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