Question

A certain list consists of several different integers. Is the product of all the integers in the list positive?

Answer 1

Answer: YES. The product of all integers in the list is positive.

Explanation:

NOTE:

Firstly, the product of the greatest and that of the smallest of the integers in the list is positive.

Secondly, in the list, there is an even number of integers.

SIMPLE EXPLANATION:

Note that for the product of the greatest and smallest of the integers in the list to be positive, then they must have the same sign:

So either: smallest * greatest = negative * negative and in which case since both the smallest and the greatest integers are negative then ALL integers in the list are negative.