What is the value of even positive integer n?

The language of the question is tricky:

What is the value of even positive integer n?
(1) The number of ways to choose 2 items out of n distinct items is 28

nC2=28; n(n-1)=56; n=8 or n=7

given that n=even so n=8

Suff.

(2) The number of ways to choose 2 prime numbers out of the first n/2 positive integers is 1

Since the number of ways to choose 2 prime numbers is 1, we are looking at first two prime numbers i.e. 2 and 3.

The next prime number is 5.

We need 2 prime numbers out of the first n/2 positive integers ; we get that within first 3 positive integers or first 4 positive integers. If we consider first 5 positive integers then we have 2,3 and 5 and the number of ways to select 2 prime numbers from 3 won't be 1.

so n/2=3 or n/2=4

Two diff values. Not suffi.


Option A