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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A rectangle has a length of 10 cm and a width of 5 cm. If the length is increased by 20% and the width is decreased by 20%, what is the new area?
सही उत्तर: घ) 125 sq cm
The new length is 10 + (20/100)*10 = 10 + 2 = 12 cm. The new width is 5 - (20/100)*5 = 5-1 = 4 cm. The new area is 12 * 4 = 48 sq cm. The most tempting answer, 50 sq cm, arises from incorrect calculations involving percentage changes.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A completes a task in 12 hours and B completes it in 18 hours. If they work together, how long will it take them to complete the task?
सही उत्तर: क) 3 hours
The relative speed of A and B is (1/12) + (1/18) = (3+2)/36 = 5/36 per hour. Therefore, the time taken to complete the task together is 1 / (5/36) = 36/5 = 7.2 hours. The most tempting answer, 4 hours, stems from a misunderstanding of how to calculate combined work rates.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A bag contains 5 red balls and 7 blue balls. What is the probability of selecting a red ball at random?
सही उत्तर: क) 7/12
The total number of balls in the bag is 5 + 7 = 12. The number of red balls is 5. Therefore, the probability of selecting a red ball is 5/12. Option 12/15 is wrong and option 3/5 is incorrect.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The average score of 5 students on a test was 75. If one student scored 85, what is the average score of the remaining 4 students?
सही उत्तर: क) 70
Let the sum of scores of all 5 students be S. Since the average is 75, we have S/5 = 75, so S = 375. If one student scored 85, then the sum of the remaining 4 students' scores must be 375 - 85 = 290. The average score of those 4 is 290 / 4 = 72.5. This makes 72.5 the correct answer.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If a number x increases by 20% and then decreases by 10%, what is the final percentage change in the number?
सही उत्तर: क) 5%
First, increasing x by 20% results in 1.2x. Then, decreasing this result by 10% means multiplying by (1 - 0.1) = 0.9. So the final value is 1.2x * 0.9 = 1.08x. This represents an increase of 8%, making 15% the correct answer. The other options don't account for both the increases and decreases.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A store offers a 10% discount on all items. If an item originally priced at Rs 500 is purchased with a coupon offering an additional 5% discount on the discounted price, what is the final price paid in Rupees?
सही उत्तर: ख) 450
First, apply the 10% discount: Rs 500 - (10/100)*500 = Rs 500 - Rs 50 = Rs 450. Then, apply the additional 5% discount on Rs 450: Rs 450 - (5/100)*450 = Rs 450 - Rs 22.50 = Rs 427.50. Option '1' (425) is closest to the calculated amount.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If the ratio of the height to the base of a triangle is 3:4, and the area of the triangle is 60 square centimeters, what is the length of the base in centimeters?
सही उत्तर: घ) 15
Let the height be 3x and the base be 4x. The area of a triangle is (1/2) * base * height = (1/2) * 4x * 3x = 6x². Given that the area is 60, we have 6x² = 60 => x² = 10 => x = √10. Since the answer options are integers, this question has an issue and is not suitable for a simple multiple-choice exam. However, if it was intended to test understanding of ratios and area formulas, then the key is that option '3' (12) is most appropriate given the problem.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If the ratio of men to women in a group is 3:2, and there are 15 men, how many women are there?
सही उत्तर: क) 9
Given that the ratio of men to women is 3:2. Let the number of men be 3x and the number of women be 2x. We are told that there are 15 men, so 3x = 15. Solving for x, we get x = 5. Therefore, the number of women is 2 * 5 = 10.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If a train travels at 72 km/h for 2 hours and then at 90 km/h for 3 hours, what is the average speed for the entire journey in km/h?
सही उत्तर: घ) 88
The total distance traveled is (72 * 2) + (90 * 3) = 144 + 270 = 414 km. The total time taken is 2 + 3 = 5 hours. The average speed is 414 / 5 = 82.8 km/h. Option 3 (86) is the closest whole number approximation for 82.8.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If x > 0 and x³ + 6x² + 12x + 8 = 0, what is the value of x?
सही उत्तर: घ) -8
Notice that x³ + 6x² + 12x + 8 can be factored as (x+2)³. Expanding this gives x³ + 6x² + 12x + 8 = (x+2)(x+2)(x+2). Since x > 0, there is no positive solution. Therefore, x = -2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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