If M and N are positive integers, then is M an even integer?
(1) M/N is an odd integer --> m=n*odd --> if n=odd then m=odd but if n=even then m=even. Not sufficient.
(2) M + N is an even integer --> either both are odd or both are even. Not sufficient.
(1)+(2) Still the same two cases: either both are odd (for example m=3 and n=1) or both are even (for example m=2 and n=2). Not sufficient.
Statement 1 says M/N = Odd
Only Odd / Odd can give an odd integer. If M is even then even / even = even or even / odd = not integer.
Statement 1 is sufficient to say that M is not even right?
Can you help with this?
I'm telling this because you don't get it. You think you get it which is not the same as actually getting it. Get it?