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 straight line has slope √3. What angle does it make with the positive x-axis?
सही उत्तर: क) 60°
Slope = tan θ = √3, so θ = 60°.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the equation of the perpendicular bisector of the segment joining (1, 2) and (3, 4)?
सही उत्तर: क) x + y = 5
Midpoint (2, 3); the segment's slope is 1, so the bisector's slope is −1: y − 3 = −(x − 2), i.e. x + y = 5.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The radius of a cylinder is increased by 10% and its height is decreased by 10%. What is the change in its volume?
सही उत्तर: ग) 8.9% increase
V ∝ r²h, so the new volume is 1.1² × 0.9 = 1.089 times the old: an increase of 8.9%.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the volume of a pyramid with a square base of side 6 cm and a vertical height of 10 cm?
सही उत्तर: क) 120 cm³
Volume = ⅓ × base area × height = ⅓ × 36 × 10 = 120 cm³.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The parallel sides of an isosceles trapezium are 20 cm and 10 cm and each non-parallel side is 13 cm. What is its area?
सही उत्तर: ग) 180 cm²
Each slanting side covers a horizontal distance of (20 − 10)/2 = 5 cm, so the height is √(13² − 5²) = 12 cm; area = ½(20 + 10) × 12 = 180 cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two circles of radii 5 cm and 3 cm have their centres 10 cm apart. What is the length of a transverse (internal) common tangent?
सही उत्तर: ख) 6 cm
Transverse common tangent = √(d² − (r₁ + r₂)²) = √(100 − 64) = 6 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two sides of a triangle are 10 cm and 12 cm and the angle between them is 30°. What is the area of the triangle?
सही उत्तर: घ) 30 cm²
Area = ½ab sin C = ½ × 10 × 12 × sin 30° = ½ × 120 × ½ = 30 cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A fair coin is tossed three times. Given that at least one head appeared, what is the probability that the first toss was a head?
सही उत्तर: घ) 4/7
Of the 7 equally likely outcomes with at least one head, 4 begin with a head (HHH, HHT, HTH, HTT): 4/7.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two cards are drawn together at random from a pack of 52. What is the probability that one is red and the other is black?
सही उत्तर: ग) 26/51
Favourable = 26 × 26 = 676; total = ⁵²C₂ = 1,326; probability = 676/1,326 = 26/51.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A positive divisor of 36 is chosen at random. What is the probability that it is a perfect square?
सही उत्तर: ख) 4/9
36 has 9 divisors (1, 2, 3, 4, 6, 9, 12, 18, 36), of which 1, 4, 9 and 36 are squares: 4/9.
💬 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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