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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A bag contains 3 red and 5 black balls. Two balls are drawn at random together. What is the probability that one is red and the other black?
सही उत्तर: ग) 15/28
Favourable = 3 × 5 = 15; total = ⁸C₂ = 28, so P = 15/28.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A card is drawn at random from a well-shuffled pack of 52 cards. What is the probability that it is a red queen?
सही उत्तर: घ) 1/26
There are 2 red queens (hearts and diamonds), so P = 2/52 = 1/26.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many rectangles (including squares) are there on an ordinary 8 × 8 chessboard?
सही उत्तर: ख) 1296
A rectangle is fixed by choosing 2 of the 9 horizontal and 2 of the 9 vertical lines: ⁹C₂ × ⁹C₂ = 36 × 36 = 1296.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A committee of 5 is to be formed from 6 men and 4 women so that it contains at least 3 women. In how many ways can this be done?
सही उत्तर: ख) 66
3 women and 2 men: ⁴C₃ × ⁶C₂ = 4 × 15 = 60; 4 women and 1 man: ⁴C₄ × ⁶C₁ = 6. Total = 66.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If ¹⁵C₃ᵣ = ¹⁵Cᵣ₊₃, what is the value of r?
सही उत्तर: क) 3
ⁿCₓ = ⁿCᵧ means x = y or x + y = n. 3r = r + 3 gives r = 1.5 (not a whole number), so 3r + r + 3 = 15 and r = 3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many three-digit even numbers can be formed from the digits 1, 2, 3, 4, 5 and 6 if no digit is repeated?
सही उत्तर: ख) 60
The units digit must be 2, 4 or 6 (3 ways); the other two places can be filled in 5 × 4 = 20 ways. Total = 3 × 20 = 60.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In how many ways can 10 different beads be strung together to form a necklace?
सही उत्तर: ख) 181440
Circular arrangements of 10 objects = 9!, and a necklace can be turned over, so the count is 9!/2 = 362880/2 = 181440.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In how many ways can the letters of the word 'LEADING' be arranged so that the vowels always come together?
सही उत्तर: क) 720
Treat E, A, I as one unit: 5 units can be arranged in 5! = 120 ways and the vowels among themselves in 3! = 6 ways, giving 720.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If x, 2x + 2 and 3x + 3 are the first three terms of a geometric progression (with non-zero terms), what is its fourth term?
सही उत्तर: घ) −13.5
(2x + 2)² = x(3x + 3) gives (x + 1)(x + 4) = 0; non-zero terms need x = −4, so the GP is −4, −6, −9 with ratio 3/2, and the next term is −13.5.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The sum to infinity of a geometric progression is 20 and its first term is 5. What is its common ratio?
सही उत्तर: घ) 3/4
S∞ = a/(1 − r): 20 = 5/(1 − r), so 1 − r = 1/4 and r = 3/4.
💬 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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