abhi758 wrote:

If n = p + r, where n, p, and r are positive integers and n is odd, does p equal 2?

(1) p and r are prime numbers.

(2) r ≠ 2

n can be odd only if a prime number is 2

1)

p and r can take values(2,3,5,7 etc)

if 2 is not there then the sum is not odd

also either p or r can be 2

hence insuffcient

2)

now r not equals 2 but we do not know what p is. both r and n can take any positive valeu to give n as odd

combined 1 and 2

since r not equals 2 and for n to be odd we need 2, p equals 2

hence C

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Amar

http://amarnaik.wordpress.com