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 deviations of a set of observations from their arithmetic mean?
सही उत्तर: घ) Always zero
Σ(x − x̄) = Σx − n x̄ = n x̄ − n x̄ = 0, for any data set.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the variance (population formula) of the first seven natural numbers 1, 2, ..., 7?
सही उत्तर: ग) 4
For 1, ..., n the variance is (n² − 1)/12 = 48/12 = 4.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the first quartile (Q₁) of the data 3, 5, 8, 10, 12, 15, 18, 20, 22, 25, 30, using the (n + 1)/4-th item rule?
सही उत्तर: ग) 8
n = 11, so Q₁ is the (11 + 1)/4 = 3rd item in ascending order, which is 8.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For the frequency distribution 0–10: 5, 10–20: 8, 20–30: 12, 30–40: 6, 40–50: 4, what is the mode?
सही उत्तर: क) 24
Modal class 20–30: mode = L + (f₁ − f₀)/(2f₁ − f₀ − f₂) × h = 20 + 4/10 × 10 = 24.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Commodity A: base price Rs. 10, current price Rs. 25, base quantity 2, current quantity 4. Commodity B: base price Rs. 5, current price Rs. 8, base quantity 10, current quantity 5. What is Fisher's ideal price index?
सही उत्तर: ग) 200
Laspeyres = Σp₁q₀/Σp₀q₀ = 130/70 = 13/7; Paasche = Σp₁q₁/Σp₀q₁ = 140/65 = 28/13; Fisher = √(13/7 × 28/13) × 100 = √4 × 100 = 200.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Five candidates are ranked by two judges. Judge X ranks them 1, 2, 3, 4, 5 and judge Y ranks the same candidates 2, 1, 4, 3, 5. What is Spearman's rank correlation coefficient?
सही उत्तर: क) 0.8
Differences d = −1, 1, −1, 1, 0, so Σd² = 4; ρ = 1 − 6Σd²/(n(n² − 1)) = 1 − 24/120 = 0.8.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The length of the shadow of a vertical pole is √3 times the height of the pole. What is the angle of elevation of the sun?
सही उत्तर: ख) 30°
tan θ = height/shadow = 1/√3, so θ = 30°.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A goat is tied to one corner of a square field of side 20 m with a rope 7 m long. Over what area of the field can it graze? (Take π = 22/7)
सही उत्तर: ग) 38.5 m²
The goat sweeps a quarter-circle of radius 7 m inside the field: ¼ × 22/7 × 7² = 38.5 m².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A sector of a circle of radius 14 cm has an arc length of 22 cm. What is the area of the sector?
सही उत्तर: ख) 154 cm²
Area of a sector = ½ × arc length × radius = ½ × 22 × 14 = 154 cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A quadrilateral has a diagonal of 20 cm, and the perpendiculars to it from the other two vertices are 6 cm and 8 cm long. What is its area?
सही उत्तर: ग) 140 cm²
Area = ½ × diagonal × (sum of offsets) = ½ × 20 × (6 + 8) = 140 cm².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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