If m is an integer greater than 1, is m an even integer?

Question

(1) 32 is a factor of m.

(2) m is a factor of 32.

Bunuel · Accepted Answer

If m is an integer greater than 1, is m an even integer?

(1) 32 is a factor of m.

Since m is divisible by 32, then m is divisible by 2 too. Hence m is even. Sufficient.

(2) m is a factor of 32.

32 = 2^5 has only one odd factor, which is 1 and all the remaining factors are even. Since given that m > 1, then m must be even. Sufficient.

Answer: D.

EgmatQuantExpert · Answer

• For m to be an even integer, it should be a multiple of 2.

Statement 1 –

• 32 is a factor of m
 o Thus m can be written as 32k 
o This clearly shows that m is a multiple of 2 and hence an even number. 
• Thus  statement 1 is sufficient  to answer the question.

Statement 2 –

• m is a factor of 32.
• Since m is factor 32, it can take any value: 2,4,8,16,32
 o And in all these cases m is an even integer. 
• Thus  statement 2 is also sufficient  to answer the question.

The  correct answer is Option D.

Note  : if m > 1 condition was not given, then, in that case, Statement 2 would have been insufficient to answer the question, because then the value m could have been 1 also, which is not an even number.

hasnain3047 · Answer

1) as 32 is a factor of m so 32 multiplied by any number give even integer so m is even integer. SUFFICIENT

2) all the factors of 32 are even except 1. As m is greater than 1 so m is even. SUFFICIENT

Answer D

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Salsanousi · Answer

Statement 1) 32 is a factor of m

means m/32 = integer

so m has to be 32 or a multiple of it. Sufficient

Statement 2)

m is a factor of 32 since 32 = 2^5 and we know that m is an integer > 1 then it must be even to be a factor of 32.

Sufficient.

answer choice D

Basshead · Answer

If m is an integer greater than 1, is m an even integer?

(1) 32 is a factor of m.

This statement tells us m is a multiple of 32. Thus, m is an even integer as all multiples of 32 are  even .

(2) m is a factor of 32.

Each factor of 32 greater than 1 is even. Thus, m is an even integer. SUFFICIENT.

MHIKER · Answer

(1) 32 is an even number and m is a multiple of 32, So m is Even. Sufficient.

(2) The factors of 32 are: 32, 16, 8, 4, 2, and 1; But m>1, So m is Even. Sufficient.

The answer is D.

ScottTargetTestPrep · Answer

Solution:
 
We need to determine whether m is an even integer given that m > 1.

Statement One Alone:
 
Since 32 is a factor of m, and m is a multiple of 32. Since 32 is an even integer and any multiple of an even integer is also even, we see that m must be even. Statement one alone is sufficient.

Statement Two Alone:

The factors of 32 are 1, 2, 4, 8, 16, and 32. Since m > 1, then m could be 2, 4, 8, 16, or 32. Regardless of which integer m is, we see that m is even. Statement two alone is sufficient.

Answer: D

Jainam24 · Answer

(1) 32 is a factor of m. m is multiple of 32 i.e. 32x. Whatever the nature of x(odd integer or even integer) when multiplied with an even number(here 32) will be even. Hence sufficient. 
(2) m is a factor of 32. 32 = 2^5 has only one odd factor, which is 1 and all the remaining factors are even. Since given that m > 1, then m must be even. Sufficient.

Thus D is the answer

CrackverbalGMAT · Answer

The most crucial piece of information in this question – m is greater than 1!!!

Is m even? We can answer the question with a Yes and say it’s even; we can answer the question with a No and say it’s odd. These are the two unique answers expected in this question.

From statement I alone, 32 is a factor of m.

Note that  an odd integer is never divisible by an even integer . Therefore, if 32 is a factor of m, m has to be even since 32 is even.
Statement I alone is sufficient to say that m is even. Answer options B, C and E can be eliminated.

From statement II alone, m is a factor of 32.

32 has a total of 5 factors of which four are even and only one is odd. The odd factor is 1. This is where the question data throws in its weight, telling us m cannot be 1.
Therefore, m has to be one of the even factors of 32.
Statement II alone is sufficient to say that m is even. Answer option A can be eliminated.

The correct answer option is D.

Hope that helps!
Aravind BT

bumpbot · Answer

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If m is an integer greater than 1, is m an even integer?

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GMAT Data Sufficiency (DS) Questions

If m is an integer greater than 1, is m an even integer?

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