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 a + b = 10 and a − b = 4, what is a² − b²?
सही उत्तर: ग) 40
a² − b² = (a + b)(a − b) = 10 × 4 = 40. 100 is just (a + b)².
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If x + y = 12 and x − y = 4, what is the value of xy?
सही उत्तर: ख) 32
Adding the equations gives 2x = 16, so x = 8 and y = 4; xy = 32. 36 would come from assuming x = y = 6.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The repeating decimal 0.272727... equals which fraction?
सही उत्तर: क) 3/11
0.(27) repeating = 27/99 = 3/11. 27/100 is the terminating decimal 0.27, not the repeating one.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Which of the following is the prime factorization of 1001?
सही उत्तर: घ) 7 × 11 × 13
1001 = 7 × 11 × 13, all primes. 143 = 11 × 13 and 91 = 7 × 13 are not prime, so those are not complete prime factorizations.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many integers from 1 to 200 inclusive are divisible by 3 or 5?
सही उत्तर: ग) 93
Divisible by 3: 66; by 5: 40; by both (15): 13. By inclusion–exclusion, 66 + 40 − 13 = 93. 106 forgets to subtract the overlap.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the sum of all even integers from 2 to 100 inclusive?
सही उत्तर: ख) 2550
There are 50 even terms with average (2+100)/2 = 51, so the sum is 50 × 51 = 2550. 5050 is the sum of all integers 1–100.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the sum of the integers from 1 to 100?
सही उत्तर: क) 5050
Sum = n(n+1)/2 = 100 × 101/2 = 5050. 10100 forgets to divide by 2.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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When a positive integer n is divided by 6, the remainder is 5. What is the remainder when 2n is divided by 6?
सही उत्तर: घ) 4
n = 6k + 5, so 2n = 12k + 10 = 6(2k+1) + 4, remainder 4. Doubling the remainder to 10 is not valid because 10 exceeds the divisor.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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What is the units digit of 7^23?
सही उत्तर: ग) 3
Units digits of powers of 7 cycle 7, 9, 3, 1 with period 4. 23 = 4·5 + 3, so the units digit is the 3rd in the cycle: 3.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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How many prime numbers are there between 20 and 40?
सही उत्तर: ख) 4
The primes are 23, 29, 31 and 37. 21, 27, 33 and 39 are odd but divisible by 3, and 35 is divisible by 5.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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