Amateur wrote:

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.

Source: HULT

Hi,

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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