MRS
Is (x-y)*(x+y) an even integer?
1. x and y are integers
2. x+y is even
The correct answer is C.
Could anyone explain why is B not the right answer?Any number * even = even so When X+Y is a even number (it doesnt matter what x-y is ?) the entire product will be even.
When statement 2 says x+y may not be an integer at all then how are we assuming that C will be the answer? i.e both the statements are sufficient?
The red part is not correct, it should be
(any integer)*(even)=(even) (for example 1.3*2=2.6 not an integer at all)
So the answer is C because if x and y are not integers (second statement does not state that), then x+y may be even (statement 2) and (x-y)*(x+y) may not be an integer at all.
Example:
x=1.8 and y=0.2 - answer to the question NO.
x=1.5 and y=0.5 - answer to the question YES.
Statement (1) says that x and y are integers so combined statements guarantee (x-y)*(x+y) being even.
Hope it helps.