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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If x + 1/x = 3, what is the value of x³ + 1/x³?
सही उत्तर: घ) 18
x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 27 − 9 = 18.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the smallest perfect square that is divisible by each of 6, 9 and 15?
सही उत्तर: ग) 900
LCM(6, 9, 15) = 90 = 2 × 3² × 5. To make it a perfect square, multiply by 2 × 5 = 10, giving 900 = 30².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The product of any three consecutive natural numbers is always divisible by:
सही उत्तर: क) 6
Among three consecutive numbers one is a multiple of 3 and at least one is even, so the product is divisible by 6 (e.g. 1 × 2 × 3 = 6 is not divisible by 9, 12 or 5).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the highest power of 2 that divides 20! exactly?
सही उत्तर: ख) 18
Power of 2 in 20! = [20/2] + [20/4] + [20/8] + [20/16] = 10 + 5 + 2 + 1 = 18.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Which of the following numbers is a prime number?
सही उत्तर: ग) 97
97 has no prime factor up to √97 (2, 3, 5, 7); 91 = 7 × 13, 87 = 3 × 29 and 51 = 3 × 17.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The product of two numbers is 2,160 and their HCF is 12. How many such pairs of numbers are possible?
सही उत्तर: ग) 2
Let the numbers be 12a and 12b with a, b co-prime: 144ab = 2160, so ab = 15. Co-prime pairs: (1, 15) and (3, 5), giving 2 pairs.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many digits in total are needed to number the pages of a book with 300 pages?
सही उत्तर: क) 792
Pages 1-9: 9 digits; 10-99: 90 × 2 = 180; 100-300: 201 × 3 = 603. Total = 9 + 180 + 603 = 792.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the remainder when 1! + 2! + 3! + ... + 100! is divided by 5?
सही उत्तर: ग) 3
From 5! onwards every factorial is divisible by 5. 1! + 2! + 3! + 4! = 1 + 2 + 6 + 24 = 33, which leaves remainder 3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A merchant has 1,000 kg of sugar. He sells part of it at 8% profit and the rest at 18% profit, gaining 14% on the whole. How much did he sell at 18% profit?
सही उत्तर: क) 600 kg
By alligation, quantity at 8% : quantity at 18% = (18 − 14) : (14 − 8) = 4 : 6, so 600 kg was sold at 18% profit.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many kilograms of rice costing Rs. 42 per kg must be mixed with 25 kg of rice costing Rs. 24 per kg so that the mixture costs Rs. 30 per kg?
सही उत्तर: घ) 12.5 kg
42x + 24 × 25 = 30(x + 25), so 12x = 150 and x = 12.5 kg (by alligation, dearer : cheaper = 6 : 12 = 1 : 2).
💬 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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