A list contains several different integers. Is the product of all the

The highlighted doesn't satisfy (II) since (-1)(-5)=5>0

product in the list could be +ve , -ve or 0

from 1

no idea about signs .. insuff

from 2

the least number in the list is -ve and the largest is positive ... insuff

both

the -ve integer could be the only negative in the list , or the list could contain zero or the product of the set members could be +ve ( yes and no)

E

A list contains different integers, and we need to answer the question:

Is their product > 0 ?

A product of integers is positive if and only if their list contains an even number of negative numbers AND doesn’t contain zero. [If there are no negative numbers in the list, then the number of negative numbers is zero, which is an even number.]

Statement One Alone:

=> There are an odd number of integers in the list.

We don’t know whether the list contains an even number of negative numbers, and we don’t know whether the list contains zero.

Statement one is not sufficient. Eliminate answer choices A and D.

Statement Two Alone:

=> The product of the greatest and smallest numbers in the list is less than zero.

In other words, there are both negative and positive numbers in the list.

Again, we don’t know whether the list contains an even number of negative numbers, and we don’t know whether the list contains zero.

Statement two is not sufficient. Eliminate answer choice B.

Statements One and Two Together:

We still don’t know whether the list contains an even number of negative numbers, and we still don’t know whether the list contains zero.

The two statements together are not sufficient.

Answer: E