Quantitative (गणित) – Quantitative Ability MCQ
Quantitative (गणित) – व्यवस्थापन प्रवेश
Quantitative Ability · Management Entrance – English, Quant, Logical Reasoning & GK · १,३१७ प्रश्न
१,३१७ प्रश्न उपलब्ध। मोड छान्नुहोस्:
Quantitative (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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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)
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If f(x) = x³, what is the value of its derivative f′(x) at x = 2?
सही उत्तर: ग) 12
f′(x) = 3x², so f′(2) = 3 × 4 = 12.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the limit of (x² − 4)/(x − 2) as x approaches 2?
सही उत्तर: ख) 4
For x ≠ 2, (x² − 4)/(x − 2) = x + 2, which approaches 4 as x → 2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many onto (surjective) functions are there from a set with 3 elements to a set with 2 elements?
सही उत्तर: क) 6
There are 2³ = 8 functions in all; only the 2 constant functions miss an element, so 8 − 2 = 6 are onto.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many one-one (injective) functions can be defined from a set with 3 elements to a set with 4 elements?
सही उत्तर: ख) 24
The images must be distinct: 4 × 3 × 2 = 24.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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