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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If the sum of three numbers is 30, and twice the largest number plus the smallest number is 40, what is the largest number?
सही उत्तर: ख) 10
Let the three numbers be a, b, and c where a ≤ b ≤ c. We are given that a + b + c = 30 and 2c + a = 40. From the first equation, a = 30 - b - c. Substituting into the second equation: 2c + (30 - b - c) = 40 => c - b = 10 => c = b + 10. Since b ≤ c, we need to find the largest possible value of c given that a,b and c are integers and satisfy the conditions. If b=8 then c=18, then a=30-8-18 = 4. which satisfies our constraints. Thus the largest number is 18.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A train travels 600 kilometers in 5 hours. Another train travels at twice the speed of the first train. How long does it take the second train to travel the same distance?
सही उत्तर: ख) 5 hours
The first train's speed is 600/5 = 120 km/h. The second train's speed is 2 * 120 = 240 km/h. Time taken by the second train is 600/240 = 2.5 hours. Option 4 (7 hours) is too high; 5 and 6 are incorrect as they don't account for the doubled speed.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A sequence of digits is formed by repeatedly adding the digits of a number until only one digit remains. If the resulting single-digit number is 7, what is the original number?
सही उत्तर: क) 16
The process described is known as digital root. The digital root of a number can be found by summing its digits repeatedly until a single digit remains. The rule is that the digital root of a number is congruent to the number modulo 9. In this case, the digital root is 7, so the original number must have a remainder of 7 when divided by 9. Therefore, the numbers could be: 16 (1+6=7), 25 (2+5=7) etc. All options are correct but ‘16’ is the simplest starting number.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A shopkeeper buys a certain number of apples for Rs 150. He sells them at a rate of Rs 2 per apple for the first 5, Rs 3 per apple for the next 8, and Rs 4 per apple for the remaining ones. If he makes a profit of Rs 70 on this transaction, what was the number of apples he bought?
सही उत्तर: क) 13
Let x be the total number of apples. The cost price is Rs 150. The revenue from selling the first 5 apples is 5 * 2 = Rs 10. The revenue from selling the next 8 apples is 8 * 3 = Rs 24. The remaining apples are x - 5 - 8 = x - 13. The revenue from these is (x-13) * 4. So, the total revenue is 10 + 24 + 4(x-13) = 34 + 4x - 52 = 4x - 18. Profit = Revenue - Cost Price so 4x - 18 = 150 + 70 = 220, hence 4x = 238 and x = 59.5 which is incorrect.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If the cost price of a shirt is Rs 450 and it is sold at a profit of 12.5% on the cost price, what is the selling price of the shirt?
सही उत्तर: क) Rs 500
The correct answer is Rs 525. A profit of 12.5% on a cost price of Rs 450 is calculated as (12.5/100)*450 = Rs 56.25. Therefore, the selling price is 450 + 56.25 = Rs 506.25. The most tempting answer, Rs 540, is incorrect because it doesn't accurately reflect the profit percentage calculation.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A square has an area of 81 square centimeters. What is the length of one side of the square?
सही उत्तर: क) 9 cm
The area of a square is calculated as side * side (or s²). In this case, the area is 81. Therefore, s² = 81. Taking the square root of both sides gives s = 9 cm.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If the sum of two numbers is 28 and one number is twice the other, what are the two numbers?
सही उत्तर: क) 7 and 21
The problem describes a system of two linear equations. Let the smaller number be 'x'. The larger number is then '2x'. Setting up the equation: x + 2x = 28, simplifies to 3x = 28, so x = 28/3 which isn't an integer. However, the prompt states one number is *twice* the other. This suggests a different approach might be needed. Let the numbers be 'a' and '2a'. Therefore a + 2a = 28, leading to 3a = 28 and thus a=28/3. Since we need integer answers this question may have an issue but this is correct.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Simplify: (x² + 4x + 4) / (x + 2)
सही उत्तर: क) x + 2
We can factor the numerator as a perfect square trinomial: (x + 2)² / (x + 2) = x + 2. This matches option 'x+2'.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A rectangular garden is 12 meters long and 8 meters wide. What is the length of the diagonal of the garden?
सही उत्तर: ग) sqrt(232)
The diagonal can be found using the Pythagorean theorem: a² + b² = c², where 'a' and 'b' are the sides of the rectangle, and 'c' is the diagonal. So 12² + 8² = 144 + 64 = 208. The square root of 208 is approximately 14.42, which doesn’t match any listed option.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A train travels 400km in 5 hours. Another train travels at a speed that is 20% faster than the first train. If both trains start at the same time, how much sooner does the second train reach its destination? (SAT/GRE/GMAT)
सही उत्तर: ख) 2 hours
The first train's speed is 400km / 5 hours = 80 km/h. The second train’s speed is 80 * 1.2 = 96 km/h. The time taken by the second train to travel 400km is 400/96 = 4.167 hours (approximately 4 hours and 10 minutes). Therefore, the second train reaches 4 hours 10 minutes sooner than the first. The most tempting answer, 2 hours, is incorrect because it doesn’t account for the exact calculation of time.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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