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 area of the largest triangle that can be inscribed in a semicircle of radius 6 cm?
सही उत्तर: ख) 36 sq cm
The best triangle has the diameter as base (12) and height equal to the radius (6): area = ½ × 12 × 6 = 36 sq cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A chord of a circle of radius 13 cm is at a distance of 5 cm from the centre. What is the length of the chord?
सही उत्तर: घ) 24 cm
Half-chord = √(13² − 5²) = 12 cm, so the chord is 24 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A square and an equilateral triangle each have a perimeter of 24 cm. What is the ratio of the area of the square to that of the triangle?
सही उत्तर: ख) 9 : 4√3
Square side 6 gives area 36; triangle side 8 gives area (√3/4) × 64 = 16√3; ratio = 36 : 16√3 = 9 : 4√3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The surface areas of two spheres are in the ratio 4 : 9. What is the ratio of their volumes?
सही उत्तर: क) 8 : 27
Radii are in the ratio 2 : 3, so volumes are in the ratio 2³ : 3³ = 8 : 27.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the perimeter of a right-angled triangle whose legs are 20 cm and 21 cm?
सही उत्तर: ख) 70 cm
Hypotenuse = √(400 + 441) = 29 cm; perimeter = 20 + 21 + 29 = 70 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The height of a cylinder equals its diameter and its volume is 2,156 cu cm. What is its radius? (Take π = 22/7)
सही उत्तर: घ) 7 cm
V = πr² × 2r = 2πr³ = 2156, so r³ = 343 and r = 7 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The areas of three adjacent faces of a cuboid are 12 sq cm, 15 sq cm and 20 sq cm. What is its volume?
सही उत्तर: ग) 60 cu cm
(lb)(bh)(hl) = (lbh)² = 12 × 15 × 20 = 3600, so volume = 60 cu cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A rhombus has a side of 10 cm and one diagonal of 12 cm. What is its area?
सही उत्तर: घ) 96 sq cm
Half-diagonals are 6 and √(100 − 36) = 8, so the other diagonal is 16; area = 12 × 16/2 = 96 sq cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Assuming every month is equally likely, what is the probability that among 3 randomly chosen people at least two were born in the same month?
सही उत्तर: ग) 17/72
P(all different) = (12 × 11 × 10)/12³ = 55/72; the required probability = 1 − 55/72 = 17/72.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A fair coin is tossed four times. What is the probability of getting at least three heads?
सही उत्तर: क) 5/16
Exactly 3 heads: 4 ways; 4 heads: 1 way; probability = 5/16.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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