Question

Jenna multiplied four numbers together and then divided by -2. The result was a positive value.

Which of the following statements MUST be true?

1. An odd number of factors were negative.
2. None of the factors were negative.
3. An even number of factors were negative.
4. All of the factors were negative.

Answer 1

1. An odd number of the factors were negative

Explanation:

If we have 4 numbers, for example 2 x 2 x 2 x 2 and an odd number of them were negative so we could have two outcomes: -2 x 2 x 2 x 2 and -2 x -2 x -2 x 2 each in the end would get -16. Now -16 multiplied by -2 gets 32 which is positive.