If P is divisible by 2, is Q + 5 an integer?
(1) The median of P and Q is not an integer.
(2) The average (arithmetic mean) of 3P, Q, and Q + 10 is an even integer.
Date - P is even. The question is basically - Does Q is an integer?
So - Statement 1 - INSU.
Lets say P=2,Q=3 ----> The answer is YES.
P=2, Q=2.5 ----> The answer is NO.
statement 2 - SUFF.(3p+q+q+10)/3 = Integer
3p/3 = p ----> Integer.
2Q+10/3 = Integer. we know that 10/3 is not an integer. therefore 2Q is not an integer as well.
so 2q=not integer.
Q = not integer/2 ----> Q is not an integer.
could there be more discussion on this one? I don't get how you go from knowing 10/3 is not an integer to knowing that 2Q is not an integer either...