If a and b are integers, and m is an even integer, is ab/4 an integer?
(1) a+b is even.
(2) m/(ab) is an odd integer.
Question basically asks if ab is a multiple of 4 or not
From St 1, a is even, b is even or a is odd, b is odd. So not sufficient alone
From St 2 we get that m is even integer and m/ab is odd integer. Therefore we can say that m is odd multiple of ab and ab is even integer.
Therefore there will be 3 cases
1. a is even, b is even and thus ab is even
2. a is odd, b is even and thus ab is even
3. a is even, b is odd and thus ab is even
Thus st2 alone is not sufficient
Combining both statements we get a+b is even and ab is even. For both these conditions to be true a, b have to be even and hence ans should be C
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