If a and b are positive integers, is a−b odd?
(1) a/b is an odd integer.
(2) b/a is an odd integer.
(1) a/b is an odd integer.
(2) b/a is an odd integer.
Answer is D
Statement 1 - a/b is an odd integer. This can happen when both a and b are either odd or even.
Eg:
Case 1- a and b odd
a- 21
b - 7
a/b - 3 -odd
Case 2- a and b even
a- 14
b - 2
a/b - 7 - odd
That being said, if we take each case Odd - Odd or Even - Even will always be Even (Eg: 21-7 = 14 or 14-2 = 12)
Therefore we can say that a-b cannot be odd.
Statement 2 basically states the same.
Regards
Anup
