m,p,t>0 t>p>m, find m*t*p/2 is true? Also find whether m/2 or t/2 or p/2 are true?
st(1) t+m=2p, possible cases
--> t, m are odd <> p is odd or even
--> t, m are even <> p is odd or even // Not Sufficient, as all numbers t,m,p could be odd and some numbers could be even
st(2) t=m+even (16), possible cases
--> if t is odd, m must be odd
--> if t is even, m must be even // Not Sufficient because we avail no information about p which could be odd or even
Combined st(1&2), t,m could be odd and p is then even giving p*m*t as even product,
yet when p is odd there's an opposite i.e. p*m*t product is odd OR t,m could be even and p must be even then // Obviously Not Sufficient
IOM
E
chendawg 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
OA after some discussion.
Not too sure what takeaways I can get from this problem.
not clear why we needed m<p<t here? frankly i paid zero attention to this inequality, assuming that we may have the various ranges between t and m to ignore this inequality condition ... // am I correct any, what's OA?
