Question: If 3x + 5 < x + 11, is x prime?
Simplify equation to x<3. Hence question becomes
is x=2?(1) the sum of x and y is even
INSUFFICIENT: We dont know y
(2) The product of x and y is odd.
INSUFFICIENT: We dont know whether y is integer
e.g. x=2, y=1.5 then xy=3 (ODD)
e.g. x=1, y=3 then xy=3 (ODD)
x can be 1 or 2, hence its not sufficient.
Combining (1) & (2)
SUFFICIENT:
If x = 2, y must be 1.5 or -1.5 to make xy (ODD), however x + y cannot be EVEN.
If x = 2, y must be 0 or even to make x + y (EVEN), however xy cannot be ODD
Thus if x=2, both statements cannot be true simultaneously.
This information is SUFFICIENT to prove x cannot be 2.
Hence choice(C) is the answer. _________________
Thanks,
Prashant Ponde
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