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kiran120680
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Joined: 18 Feb 2019
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Updated on: 01 Dec 2024, 11:20
Originally posted by kiran120680 on 09 Jun 2019, 10:18.
Last edited by Bunuel on 01 Dec 2024, 11:20, edited 2 times in total.
Last edited by Bunuel on 01 Dec 2024, 11:20, edited 2 times in total.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (01:47) correct
33%
(01:55)
wrong
based on 495
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If N is a positive integer, is (N^3)/4 an integer?
(1) N^2 + 3 is a prime number.
(2) N is the number of odd factors of 6.
(1) N^2 + 3 is a prime number.
(2) N is the number of odd factors of 6.
09 Jun 2019, 11:40
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Strange question. If n is even, n^3 will be divisible by 2^3, so it will definitely be divisible by 2^2, and n^3/4 will be an integer. If n is odd, then n^3 won't even be divisible by 2, so n^3/4 certainly won't be an integer. So the question is just asking "is n even?"
Using Statement 1, n^2 + 3 can never equal 2 (since then n^2 would be negative, which is impossible). So if n^2 + 3 is a prime, n^2 + 3 must be an odd prime, and n^2 must be even, so n is even, and Statement 1 is sufficient.
Statement 2 unambiguously tells us the numerical value of n, so it has to be sufficient; there's no reason to spend any time actually working out what n is. So the answer is D.
Using Statement 1, n^2 + 3 can never equal 2 (since then n^2 would be negative, which is impossible). So if n^2 + 3 is a prime, n^2 + 3 must be an odd prime, and n^2 must be even, so n is even, and Statement 1 is sufficient.
Statement 2 unambiguously tells us the numerical value of n, so it has to be sufficient; there's no reason to spend any time actually working out what n is. So the answer is D.
General Discussion
10 Jun 2019, 09:30
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The 2nd condition tells me N = 2 and it is sufficient clearly.
But I don't get why the 1st condition is sufficient.
I can see that N must be even but I don't understand how it helps to get an answer.
I would appreciate if anyone gives me any explanation.
But I don't get why the 1st condition is sufficient.
I can see that N must be even but I don't understand how it helps to get an answer.
I would appreciate if anyone gives me any explanation.
