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Gmat paper set Q

by gmat25 » Thu Jul 21, 2011 8:33 am
If m, p, and t are positive integers and m < p < t, is the product mpt an even integer?
(1) t - p = p - m
(2) t - m = 16

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Source: — Data Sufficiency |

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by Anurag@Gurome » Thu Jul 21, 2011 9:30 am
gmat25 wrote:If m, p, and t are positive integers and m < p < t, is the product mpt an even integer?
(1) t - p = p - m
(2) t - m = 16
From statement 1, p = (m + t)/2

Consider the following two cases,
  • 1. t = 17 and m = 1 ----> p = (17 + 1)/2 = 9 ----> mpt = 1*9*17 = odd
    2. t = 18 and m = 2 ----> p = (18 + 2)/2 = 10 ----> mpt = 2*10*18 = even
Both of the above cases satisfy all the conditions given but in one case the product is even and in the other it is odd.

Hence, both statements together is also not sufficient to answer the question.

The correct answer is E.
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by top_business_2011 » Fri Jul 22, 2011 7:32 am
gmat25 wrote:If m, p, and t are positive integers and m < p < t, is the product mpt an even integer?
(1) t - p = p - m
(2) t - m = 16

Nice Q
The question is as follows: Is mpt = Even?
We know that if one of the three(i.e m,p,or t) is even, then the total function is even. Therefore the question simply asks you to check if all of them are odds.

Let's see:

Stat. 1: t-p = p-m
t+ m = 2p, so this means the sum of t and m is even. For the sum of t and m to be even, it isn't necessary that they both be odd as the sum of two even numbers can also give you an even number. So it's insufficient.

Stat. 2: t-m=16. All this statement tells us is that both are even or both are odd;hence it is insufficient.

Both: Essentially the information from the two statements is the same, making E the right answer.
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