MBA र MBS प्रवेश MBA / MBS प्रवेश परीक्षा तयारी
MBA र MBS प्रवेश – MBA / MBS प्रवेश परीक्षा
MBA / MBS Entrance · MBA / MBS Entrance (SOMTU, KU, PUMAT)
४,३१२ प्रश्न उपलब्ध। मोड छान्नुहोस्:
व्यवस्थापन प्रवेश: 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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Five different balls are placed at random into three different boxes (each ball independently into any box). What is the probability that no box is empty?
सही उत्तर: ग) 50/81
Total 3⁵ = 243 placements; onto placements = 243 − 3·2⁵ + 3·1⁵ = 150; 150/243 = 50/81.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the radius of the circle passing through all three vertices of an equilateral triangle of side 12 cm?
सही उत्तर: क) 4√3 cm
Circumradius of an equilateral triangle = a/√3 = 12/√3 = 4√3 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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For which real values of x is the expression (x − 2)/(x + 3) zero or negative?
सही उत्तर: घ) −3 < x ≤ 2
The quotient is ≤ 0 between the critical points; x = 2 gives 0 (allowed) but x = −3 makes the denominator 0 (excluded).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If x and y are positive numbers with 2x + 3y = 24, what is the maximum value of xy?
सही उत्तर: क) 24
By AM–GM, 2x · 3y is greatest when 2x = 3y = 12, i.e. x = 6, y = 4, giving xy = 24.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the remainder when 2¹⁰⁰ is divided by 101?
सही उत्तर: ग) 1
101 is prime, so by Fermat's little theorem 2¹⁰⁰ ≡ 1 (mod 101).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many integers from 1 to 1000 are perfect squares or perfect cubes (or both)?
सही उत्तर: ख) 38
Squares: 31, cubes: 10, both (sixth powers 1, 64, 729): 3; 31 + 10 − 3 = 38.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many positive integers less than 100 have exactly three positive divisors?
सही उत्तर: घ) 4
Only squares of primes have exactly three divisors: 4, 9, 25 and 49.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A and B together can finish a job in 10 days. They work together for 4 days; then A leaves and B finishes the remaining work in 12 days. In how many days could A alone finish the job?
सही उत्तर: घ) 20 days
Together they do 4/10 in 4 days; B does the remaining 3/5 in 12 days, so B's rate is 1/20. A's rate = 1/10 − 1/20 = 1/20, i.e. 20 days.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Daily wages of workers in a unit: 3 workers earn Rs. 4,200, 5 earn Rs. 3,000 and 2 earn Rs. 2,400. What is the mean daily wage?
सही उत्तर: क) Rs. 3,240
(3×4,200 + 5×3,000 + 2×2,400)/10 = (12,600 + 15,000 + 4,800)/10 = Rs. 3,240.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A firm's quarterly sales (units) were Q1: 120, Q2: 150, Q3: 135, Q4: 195. In which quarter was the percentage change over the previous quarter the largest?
सही उत्तर: ख) Q4
Q2: +25%, Q3: −10%, Q4: +60/135 ≈ +44.4%; Q4 is the largest.
💬 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।
नमस्ते! पाठ्यक्रम, सामान्य ज्ञान, भाषा परीक्षा वा कुनै प्रश्नको उत्तर बुझ्न सोध्नुहोस्।
AI ले गल्ती गर्न सक्छ। महत्वपूर्ण कुरा आधिकारिक स्रोतमा जाँच्नुहोस्।