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
(1) t – p = p - m
(2) t – m = 16
for the product mpt to be even atleast one of the integers have to be even.
stmt 1 - t-p = p-m ==> p=(t+m)/2, also p is a positive integer. If p has to be integer then both t and m have to either even or odd. If we take an avg of an even and odd number then the avg will be a decimal. Now avg of any two even or two odd numbers wud be an even number...So p will be an even integer....Suff.
stmt 2 - t-m=16...means either both of them are even or both odd and also we dont know anything abt p.....So insuff........Ans is A
