If a and b are two integers. ab = -5, and a - b > 0, which of the following is must be true?
- a > -1
- b is odd
- Both A and B
- None of these
Explanation
Given:
ab = -5
Possible integer pairs:
(a, b) = (5, -1), (-1, 5), (1, -5), (-5, 1)
Given a - b > 0:
Only (5, -1) and (1, -5) satisfy this.
For (5, -1):
a > -1 is true, and b is odd is true.
For (1, -5):
a > -1 is true, and b is odd is true.
In both cases, |a| ≠ 5 for one of the cases.
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