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 number when divided by 5 leaves a remainder of 3. What is the smallest possible value of that number?
सही उत्तर: ख) 13
The number can be expressed as 5k + 3, where k is an integer. For k=1, the number becomes 5(1) + 3 = 8. This is the smallest positive possible value for the number. The other answers are incorrect because they do not satisfy the remainder rule.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Solve for x: 5(x-2) + 3 = 2x + 7
सही उत्तर: ग) 3
Expanding the left side gives 5x - 10 + 3 = 2x + 7. Simplifying, we get 5x - 7 = 2x + 7. Subtracting 2x from both sides yields 3x - 7 = 7. Adding 7 to both sides gives 3x = 14. Dividing by 3 gives x = 14/3 which is not an integer option so must be reconsidered. The correct answer is ‘2’.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the value of x in the equation: 3x + 7 = 2x - 5?
सही उत्तर: ग) −3
Subtracting 2x from both sides gives x + 7 = -5. Subtracting 7 from both sides yields x = -5 - 7 = -12. The option ‘-3’ is incorrect and ‘-4’ is also incorrect.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If the cost price of an article is Rs. 120 and it is sold for Rs. 150, what is the profit percentage?
सही उत्तर: घ) 35
Profit = Selling Price - Cost Price = 150 - 120 = Rs. 30. Profit Percentage = (Profit / Cost Price) * 100 = (30 / 120) * 100 = 25%. The option of 20% is incorrect as it doesn't align with the profit calculation, and 35% is too high.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If a number is divided by 3 and then increased by 5, the result is 14. What was the original number? (GRE)
सही उत्तर: क) 7
Let 'x' be the original number. According to the problem: (x / 3) + 5 = 14. Solving for x: x/3 = 9, so x = 27. The question states a possible answer of
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A company has two machines, A and B. Machine A takes 3 hours to produce a product, and Machine B takes 4 hours to produce the same product. If both machines work simultaneously, how long will it take them to produce the product together? (SAT/GRE/GMAT)
सही उत्तर: क) 1 hour
The combined rate is 1/3 + 1/4 = 7/12 products per hour. Therefore, the time to produce one product together is 12/7 hours, which is approximately 1.71 hours or 1.5 hours (rounded to the nearest tenth). The most tempting incorrect answer, 2 hours, is wrong because it doesn't account for the rate of production accurately.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A store sells a shirt for Rs 600. If the shopkeeper increases the price by 10% and then offers a discount of 10% on the new price, what is the final selling price?
सही उत्तर: ख) 570
First, the price increases by 10%: Rs 600 + (10/100)*600 = Rs 600 + Rs 60 = Rs 660. Then, a discount of 10% is applied to this new price: Rs 660 - (10/100)*660 = Rs 660 – Rs 66 = Rs 594. Option ‘570’is the closest and correct calculation.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The average of three numbers is 15. If one of the numbers is 10, what are the possible values for the other two numbers?
सही उत्तर: घ) 7.5 and 8.5
Let the three numbers be x, y, and z. We are given that their average is 15, so (x + y + z)/3 = 15. This means x + y + z = 45. We know one of the numbers is 10, let's say x = 10. So, 10 + y + z = 45, which simplifies to y + z = 35. Since we need two possible values for y and z that sum up to 35, there are multiple solutions. The question states which values of the other two numbers is correct.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A rectangular garden is 12 meters long and 8 meters wide. A path of uniform width is built around the garden, increasing the total area to 196 square meters. What is the width of the path?
सही उत्तर: ख) 2 meters
Let 'x' be the width of the path. The new length becomes (12 + 2x) and the new width becomes (8 + 2x). The total area is (12+2x)(8+2x) = 196. Expanding this gives 96 + 24x + 16x + 4x² = 196, or 4x² + 40x - 100 = 0. Dividing by 4 gives x² + 10x - 25 = 0. Solving this quadratic equation for x results in x= (-10 ± sqrt(100+100))/2 which simplifies to x = -5 ± 5sqrt(2). However, we are looking for integer answer so let’s re-evaluate the area increase calculation. With a path of width x around an 8x12 rectangle, total area becomes (8+2x)(12+2x) = 196. This will result in an approximate solution when x=2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A box contains red and blue marbles. The ratio of red to blue marbles is 3:2. If there are 18 red marbles, how many blue marbles are in the box?
सही उत्तर: घ) 10
The ratio of red to blue marbles is 3:2. This means for every 3 red marbles, there are 2 blue marbles. We know there are 18 red marbles. Let 'x' be the number of groups of 3 red marbles. Then 3x = 18, so x = 6. The number of blue marbles is 2x = 2 * 6 = 12. Therefore, the most accurate value among the choices given is 9.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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