Question

If you have 5 integers, then which of the following combinations will give positive product?

• A. Two negative integers and three positive integers
• B. Two positive integers and three negative integers
• C. Five negative integers and zero positive integer
• D. All of above

Answer 1

The correct option is A Two negative integers and three positive integers

As per the question, there are 5 integers.
We know that product of two positive integers is always positive.
Product of one positive and one negative integer is always negative.
Product of two negative in integers is always is always positive.
So to get the positive product, negative integers should come in pairs.
In option A, two negative integers and three positive integers i.e.,
(-) × (-) × (+) × (+) × (+) = (+) [negative sign occur in pair]
In option B, two positive integers and three negative integers’ i.e,
(+) × (+) × (-) × (-) × (-) = (-) [As, negative sign do not occur in pair]
In option C, Five negative integers and zero positive integer i.e,
(-) × (-) × (-) × (-) × (-) = (-) [As, negative sign do not occur in pair]
Hence, option A is the correct option.