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Re: If m is an integer greater than 1, is m an even integer?
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26 Jul 2017, 09:13

3

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

(1) 32 is a factor of m. m is divisible by 32 so 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.

Re: If m is an integer greater than 1, is m an even integer?
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26 Jul 2017, 09:25

carcass wrote:

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

(1) 32 is a factor of m.

(2) m is a factor of 32.

• 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.
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