[問題]gwd-3-16

[游客]

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




ANS:E

[QQcandy]

If mpt need to be even, it must in the situation of anyone (t, p, m) to be even. 只要期中一個是偶數就可以了


由第壹個條件來看

t-p = p-m => t+m = 2P, it means (t+m) is even, t may be even and m may be even ; t may be odd and m may be odd.....and P can be anyone of even or odd...


由第貳個條件來看

t - m = 16 => t may be even and m may be even ; t may be odd and m may be odd...

so the answer is E....

[游客]

Good job