व्यवस्थापन प्रवेश – English, Quantitative, Logical Reasoning, GK
व्यवस्थापन प्रवेश – English, Quantitative, Logical Reasoning, GK
Management Entrance – English, Quant, Logical Reasoning & GK · ४,३१२ प्रश्न
४,३१२ प्रश्न उपलब्ध। मोड छान्नुहोस्:
व्यवस्थापन 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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How many five-digit numbers divisible by 4 can be formed using each of the digits 1, 2, 3, 4 and 5 exactly once?
सही उत्तर: ख) 24
The last two digits must form a multiple of 4: 12, 24, 32 or 52 (4 choices); the other three digits can be arranged in 3! = 6 ways, giving 24.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In how many ways can three different numbers be chosen from 1, 2, ..., 20 so that they form an arithmetic progression (in some order)?
सही उत्तर: ख) 90
For common difference d the smallest term can be 1 to 20 − 2d, giving (20 − 2d) choices for d = 1, ..., 9: 18 + 16 + ... + 2 = 90.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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All arrangements of the letters of the word SURE are listed in dictionary order. In which position does SURE appear?
सही उत्तर: ख) 18
Words starting with E: 6; with R: 6; with SE: 2; with SR: 2; then SUER. That is 17 words before SURE, so SURE is 18th.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In an arithmetic progression the 7th term is 12 and the 12th term is 7. What is the 19th term?
सही उत्तर: घ) 0
Common difference = (7 − 12)/(12 − 7) = −1, so the 19th term = 7 + 7 × (−1) = 0.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the sum of the first 10 terms of the sequence 1, 3, 6, 10, 15, ...?
सही उत्तर: घ) 220
The sum of the first n triangular numbers is n(n + 1)(n + 2)/6 = 10 × 11 × 12/6 = 220.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the 10th term of the sequence 1, 3, 6, 10, 15, ...?
सही उत्तर: क) 55
These are triangular numbers, n(n + 1)/2; the 10th is 10 × 11/2 = 55.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the sum 1/(1·3) + 1/(3·5) + 1/(5·7) + ... + 1/(19·21)?
सही उत्तर: क) 10/21
Each term 1/(k(k + 2)) = ½(1/k − 1/(k + 2)), so the sum telescopes to ½(1 − 1/21) = 10/21.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If x + 1, 3x and 4x + 2 are three consecutive terms of an arithmetic progression, what is x?
सही उत्तर: ख) 3
In an AP the middle term is the average: 2(3x) = (x + 1) + (4x + 2), so 6x = 5x + 3 and x = 3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A firm's total cost is C(q) = 2q² + 5q + 100. What is its marginal cost (dC/dq) at q = 10?
सही उत्तर: ख) Rs. 45
Marginal cost = dC/dq = 4q + 5; at q = 10 it is 45.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A firm's revenue is R = 50q − q² and its cost is C = 10q + 100 (in rupees), where q is the output. What is the maximum profit?
सही उत्तर: घ) Rs. 300
Profit = 40q − q² − 100, which is greatest at q = 20 (vertex), giving 800 − 400 − 100 = Rs. 300.
💬 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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