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Hi! I would suggest that in future please post only one question in one thread.
Q1. If n and p are integers, is p > 0?
(1) n + 1 > 0
(2) np > 0
Explanation:
(1) n + 1 > 0 means n > -1, so n can take the values 0, 1, 2, 3 and so on.But there is no info on p. So, (1) is NOT SUFFICIENT.
(2) np > 0 implies either n and p are both positive or both negative. So, p can be > 0 also and < 0 also. No unique answer.
So, (2) is NOT SUFFICIENT.
Combining (1) and (2) we get, n = positive integer values and for np > 0, p will also have to be positive. So, p > 0.
The correct answer is (C).
