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
(1) t - p = p - m
(2) t - m = 16
Nice Q
From statement 1, p = (m + t)/2gmat25 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
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
Hence, both statements together is also not sufficient to answer the question.
The correct answer is E.
