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 trains 200 km apart travel toward each other at 60 km/h and 40 km/h. After how long will they meet?
सही उत्तर: ग) 2 hours
Moving toward each other, their speeds add: 100 km/h. Time = 200/100 = 2 hours. 10 hours uses the difference of speeds, which applies only when moving in the same direction.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A cyclist rides to a town at 20 km/h and returns along the same route at 30 km/h. What is the average speed for the whole trip?
सही उत्तर: ख) 24 km/h
For equal distances, average speed = 2ab/(a + b) = 2(20)(30)/50 = 24 km/h. 25 km/h is the simple average of the speeds, which is wrong because more time is spent at the slower speed.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If x/y = 3/4 and y/z = 2/5, what is x/z?
सही उत्तर: क) 3/10
x/z = (x/y)(y/z) = (3/4)(2/5) = 6/20 = 3/10. 15/8 divides the ratios instead of multiplying them.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If y varies inversely with x, and y = 12 when x = 3, what is y when x = 9?
सही उत्तर: घ) 4
Inverse variation: xy is constant = 36, so y = 36/9 = 4. 36 would assume direct variation (y triples as x triples).
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If y varies directly with x, and y = 15 when x = 5, what is y when x = 8?
सही उत्तर: ग) 24
y = kx with k = 15/5 = 3, so y = 3 × 8 = 24. 18 wrongly adds the change in x (3) to y; in direct variation it is the ratio y/x that stays constant.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A number is increased by 7 and the result is tripled, giving 48. What is the number?
सही उत्तर: ख) 9
3(n + 7) = 48 → n + 7 = 16 → n = 9. 16 is the value of n + 7, not n.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The sum of three consecutive integers is 72. What is the largest of them?
सही उत्तर: क) 25
n + (n+1) + (n+2) = 72 gives n = 23, so the integers are 23, 24, 25. 24 is the middle (the average), not the largest.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Which of the following is equivalent to (2x + 3)²?
सही उत्तर: घ) 4x² + 12x + 9
(2x + 3)² = 4x² + 2(2x)(3) + 9 = 4x² + 12x + 9. Omitting the middle term (4x² + 9) is the most common error.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Simplify: (x² − 9)/(x − 3), for x ≠ 3
सही उत्तर: ग) x + 3
x² − 9 = (x − 3)(x + 3), so the fraction reduces to x + 3. This is the difference of squares pattern.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If 9^x = 27, what is x?
सही उत्तर: ख) 3/2
9^x = 3^(2x) and 27 = 3³, so 2x = 3 and x = 3/2. 2/3 inverts the ratio.
💬 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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