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

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If m is an integer greater than 1, is m an even integer?  [#permalink]

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New post 26 Jul 2017, 09:01
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Re: If m is an integer greater than 1, is m an even integer?  [#permalink]

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New post 26 Jul 2017, 09:13
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.

Answer: D.
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Re: If m is an integer greater than 1, is m an even integer?  [#permalink]

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New post 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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Re: If m is an integer greater than 1, is m an even integer?  [#permalink]

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New post 19 Aug 2018, 22:32
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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Re: If m is an integer greater than 1, is m an even integer? &nbs [#permalink] 19 Aug 2018, 22:32
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