Quant र Reasoning (SAT/GRE/GMAT) – Quant & Reasoning MCQ
Quant र Reasoning (SAT/GRE/GMAT) – English Test
Quant & Reasoning · English Proficiency & SAT/GRE/GMAT · ४०८ प्रश्न
४०८ प्रश्न उपलब्ध। मोड छान्नुहोस्:
Quant र Reasoning (SAT/GRE/GMAT): 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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Two fair dice are rolled. What is the probability that the sum is 7?
सही उत्तर: क) 1/6
Six of the 36 outcomes give 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1), so 6/36 = 1/6. 1/9 (4/36) is the probability of a sum of 5 (or, separately, of 9).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A fair coin is tossed 3 times. What is the probability of getting exactly 2 heads?
सही उत्तर: घ) 3/8
There are 8 equally likely outcomes, and exactly 2 heads occurs in 3 (HHT, HTH, THH): 3/8. 1/4 would be (1/2)² ignoring the third toss and arrangements.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many distinct arrangements are there of the letters of the word LEVEL?
सही उत्तर: ग) 30
5 letters with L twice and E twice: 5!/(2!·2!) = 30. 120 ignores the repeated letters.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many different committees of 3 can be chosen from 8 people?
सही उत्तर: ख) 56
C(8, 3) = 8!/(3!5!) = 56. 336 is the number of ordered selections (permutations), which overcounts by 3! = 6.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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In how many ways can 5 different books be arranged on a shelf?
सही उत्तर: क) 120
5! = 5 × 4 × 3 × 2 × 1 = 120. 3125 = 5^5 would allow books to repeat.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Which set of side lengths CANNOT form a triangle?
सही उत्तर: घ) 3, 4, 8
Triangle inequality: the sum of any two sides must exceed the third. 3 + 4 = 7 < 8, so 3, 4, 8 fails; 6 + 7 = 13 > 12, so 6, 7, 12 works.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Two similar triangles have corresponding sides in the ratio 2 : 3. What is the ratio of their areas?
सही उत्तर: ग) 4 : 9
Areas of similar figures scale with the square of the side ratio: 2² : 3² = 4 : 9. 8 : 27 is the ratio of volumes of similar solids.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The arc of a sector with a central angle of 90° in a circle of radius 4 has length:
सही उत्तर: ख) 2π
Arc length = (90/360) × 2π(4) = 2π. 4π is the area of that sector (one quarter of 16π).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A 30-60-90 triangle has a hypotenuse of 10. What is the length of the side opposite the 60° angle?
सही उत्तर: क) 5√3
Sides are in the ratio 1 : √3 : 2, so with hypotenuse 10, the short side is 5 and the side opposite 60° is 5√3. 5 is the side opposite 30°.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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An equilateral triangle has a side of 6. What is its area?
सही उत्तर: घ) 9√3
Area = (√3/4)s² = (√3/4)(36) = 9√3. 18 is (1/2)(6)(6), which wrongly uses the side as the height.
💬 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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