A certain list consists several integers

[ekattur]

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

1) The product of the greatest and the smallest of the integers in the list is positive
2) There is an even number of integers in the list

OA is C, I had selected E thinking that 0 could be in the list and hence we don't know.

Can anyone please explain where I went wrong? Thanks

[RonPurewal]

OA is C, I had selected E thinking that 0 could be in the list and hence we don't know.

nope.

statement (1) means that the smallest and largest elements of the list have the same sign, i.e., are both positive or both negative.
but, since those are the smallest and largest elements of the list, that means that all the elements between have to have that same sign, too.
or:
you can't have 0 between two positive numbers, or between two negative numbers.
either everything in the list is positive, or everything in the list is negative.

[ekattur]

OA is C, I had selected E thinking that 0 could be in the list and hence we don't know.

nope.

statement (1) means that the smallest and largest elements of the list have the same sign, i.e., are both positive or both negative.
but, since those are the smallest and largest elements of the list, that means that all the elements between have to have that same sign, too.
or:
you can't have 0 between two positive numbers, or between two negative numbers.
either everything in the list is positive, or everything in the list is negative.

Thanks Ron!

[JonathanSchneider]

: )