vishugogo wrote:If a and b are integers and the sum of ab and b is odd, which of the following could be true?
I. a and b are both odd
II. a is even and b is odd
III. a is odd and b is even
I only
II only
III only
I and II
I and IIII
Since a and b must be positive integers, the only issue here is EVEN VS. ODD.
We can test values.
If a statement holds true for the tested values, it will hold true for ANY even/odd combination.
If a statement does NOT hold true for the tested values, it will NOT hold true for ANY even/odd combination.
Statement I:
If a=1 and b=1, then ab + b = 1*1 + 1 = 2.
The condition that ab+b = ODD is not satisfied.
Thus, statement I is not possible.
Eliminate A, D and E.
Statement 2:
If a=2 and b=1, then ab + b = 2*1 + 1 = 3.
This works.
Eliminate C, which does not include statement II.
The correct answer id
B.
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