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 train travels at a speed of 60 km/h. Another train travels at a speed of 80 km/h. If the second train starts 3 hours after the first and covers the same distance as the first train, how long does the second train travel?
सही उत्तर: ग) 3 hours
The first train travels for 3 + 2 = 5 hours at 60 km/h, covering a distance of 300 km. The second train then travels for 2 hours at 80 km/h, also covering 300 km. The most tempting answer (1 hour) is incorrect because it doesn't account for the time the first train has already traveled. “3 hours” and “4 hours” are distractors.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A store sells apples for Rs 50 per kg and oranges for Rs 70 per kg. A customer buys 5 kg of fruits such that the total cost is Rs 410. How many kilograms of apples did the customer buy?
सही उत्तर: ख) 3
Let 'x' be the amount (in kg) of apples and 'y' be the amount (in kg) of oranges. We have x + y = 5 and 50x + 70y = 410. Solving this system of equations, we get x=3 and y=2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The average score of a class of students on an exam was 75. If 3 students scored 80 and 2 students scored 60, what was the average score of the remaining students?
सही उत्तर: ख) 72
Let 'n' be the number of students in the class. The total score is 75 * n = Total Score. The sum of scores of 3 students is 3*80=240 and the sum of scores of 2 students is 2*60 =120. The total score for all the students can be written as the sum of these totals: 240 + 120 + (n-5)*x, where 'x' is the average score of the remaining n - 5 students. Since we know the overall average is 75, then 75n = 360+ (n-5) x. However, let's calculate for the total number of students being 8. The total score is 75*8=600. Then the remaining 3 students' scores add up to 600 - 240 - 120 = 240. Therefore the average score of the 3 remaining students is 240/3 = 80. However, this also makes option A most accurate as it’s closest.”},{
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A man walks 1 km east and then 3 km north. What is his bearing from his starting point?
सही उत्तर: घ) 315°
The man's movement can be visualized as a right triangle with legs of 1 km (east) and 3 km (north). The angle 'θ' between the east direction and his final position is given by tan⁻¹(3/1) = tan⁻¹(3). tan⁻¹(3) ≈ 71.57°. This is not in the options, but the bearing from North is equivalent to 90 - (71.57+90)=225deg, option D would be more appropriate if we were working with degrees instead of bearing values.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If the radius of a circle increases from 5 cm to 10 cm, what is the ratio of the new area to the original area?
सही उत्तर: ख) 1:4
The area of a circle is given by A = πr². Original area (r=5) = π(5²) = 25π. New area (r=10) = π(10²) = 100π. The ratio of the new to original area is (100π)/(25π) = 4, which simplifies to 1:4. Option B is correct.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If a number is divided by 5 and the result is increased by 3, the expression equals 11. What is the number?
सही उत्तर: ख) 30
Let 'x' be the number. The problem states: (x / 5) + 3 = 11. Subtracting 3 from both sides gives x/5 = 8, and multiplying by 5 results in x = 40. Option B is correct. Options A, C & D are wrong.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The HCF of two numbers is 12 and their LCM is 360. One of the numbers is 48. Find the other number.
सही उत्तर: ख) 120
We know that HCF * LCM = (first number) * (second number). Therefore, 12 * 360 = 48 * x. Solving for x gives us x = (12 * 360) / 48 = 90 * 360/48= 90 * 7.5 = 675 is incorrect. Let's redo the math correctly: 12*360 = 4320, and then divide by 48 : 4320 / 48 = 90. Thus x=90. Option B is correct.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A sequence of numbers is defined by the recursive formula a_n = 2a_{n-1} + 1, with a_0 = 1. What is a_5?
सही उत्तर: ग) 65
We are given a recursive formula and an initial value to find the fifth term of a sequence. Let's calculate the terms: a_0 = 1, a_1 = 2(1) + 1 = 3, a_2 = 2(3) + 1 = 7, a_3 = 2(7) + 1 = 15, a_4 = 2(15) + 1 = 31, a_5 = 2(31) + 1 = 63. The correct answer is 63, so we must have made an error calculating. Let's re-calculate. a_0 = 1; a_1=2*1+1=3; a_2=2*3+1=7; a_3=2*7+1=15; a_4=2*15+1=31; a_5=2*31+1=63. Oops, I made an arithmetic error. The correct answer is 63.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A train travels 400 km at a constant speed. It takes 5 hours. Another train travels the same distance in 6 hours at a different speed. What was the faster speed of the two trains (in km/h)?
सही उत्तर: क) 100
The first train's speed is 400 km / 5 hours = 80 km/h. The second train’s speed needs to be calculated using the distance and time, but we know it is faster than 80 km/h. The correct answer (120) represents the faster of the two speeds. The other options are incorrect because they don't represent feasible or calculated speeds.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If f(x) = x² - 4x + 1 and g(x) = 3x + 2, what is f(g(2))?
सही उत्तर: क) 17
We first evaluate g(2): g(2) = 3(2) + 2 = 8. Then we substitute this into f(x): f(8) = 8² - 4(8) + 1 = 64 - 32 + 1 = 33. The option '23' is the closest plausible answer, but it is incorrect.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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