Question

whether the statement is true or false: ` n_(1), n_(2),...,n_(p)` are p positive integers, whose sum is an even number, then the number of odd integers among them is odd.

Answer 1

Correct Answer - False
Since, `n_(1), n_(2),..., n_(p)` are p positive integers, whose sum is even and we known that, sum of any two odd integers is even.
`:.` Number of odd integers must be even.
Hence, it is a false statement