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MathRevolution
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Is a positive integer n greater than 1 divisible by 2? 07 Mar 2017, 01:02
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B
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79% (01:05) correct 21% (00:51) wrong based on 107 sessions

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Is a positive integer n greater than 1 divisible by 2?

1) 24/n is an integer
2) 32/n is an integer
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B
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Is a positive integer n greater than 1 divisible by 2? 07 Mar 2017, 07:03
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MathRevolution
Is a positive integer n greater than 1 divisible by 2?

1) 24/n is an integer
2) 32/n is an integer
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1) 24/n is an integer. n can be 3 or 4. So not sufficient.

2) 32/n is an integer - Since 32 is a power of only 2, n should be divisible by 2. - Sufficient.

Hence B.

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Is a positive integer n greater than 1 divisible by 2? 07 Mar 2017, 07:08
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B is sufficient... 2^5=32; n is greater than 1 and is also an integer...



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Is a positive integer n greater than 1 divisible by 2? 09 Mar 2017, 02:38
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==> In the original condition, there is 1 variable (n) and in order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For con 1), n=2 yes, but n=3 no, hence it is not sufficient.
For con 2), from \(32=2^5\), n always has 2 as its factor, hence yes, it is sufficient.

The answer is B.
Answer: B
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Is a positive integer n greater than 1 divisible by 2? 09 Mar 2017, 13:26
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Is a positive integer n greater than 1 divisible by 2?

The question asks if n is even.

1) 24/n is an integer

n could be 2....then n is even

n could be 3....then n is odd

Insufficient

2) 32/n is an integer

32=2 ^5. To divisible by 32, n must be even.

Sufficient

Answer: B
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Is a positive integer n greater than 1 divisible by 2? 15 Mar 2017, 16:24
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MathRevolution
Is a positive integer n greater than 1 divisible by 2?

1) 24/n is an integer
2) 32/n is an integer
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We are given that n is an integer greater than 1 and we need to determine whether n/2 is an integer. Keep in mind that n/2 is an integer only if n is even.

Statement One Alone:

24/n is an integer.

Since 24/n is an integer, n is a factor of 24. However, statement one is not sufficient to answer the question. For example, if n is 2, then n/2 IS an integer; however if n = 3, then n/2 IS NOT an integer.

Statement Two Alone:

32/n is an integer.

Since 32/n is an integer, n is a factor of 32. Furthermore, since 32 = 2^5, we see that all factors of 32 are even except 1. However, we are given that n > 1; therefore, n must be even, and thus n/2 IS an integer.

Answer: B
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Is a positive integer n greater than 1 divisible by 2? 16 Dec 2020, 19:31
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