If p, q, r, and s are consecutive integers, with p

If p, q, r, and s are consecutive integers, with p '<' q '<' r '<' s, is pr '<' qs?

(1) pq '<' rs

(2) ps '<' qr

P'<'q'<'r'<'s

If they are consecutive

Then q = p+1 , r = p+2 and s = p+3

The question is pr '<'qs let plug in

Is p(p+2) '<' (p+1)(p+3) lets simplify

Is p^2 + 2p '<' P^2 +4p +3 --'>' -2p '<' 3 --'>' p'>'-1.5

So we can rephrase the question to --'>' is p '>'-1.5

(1) pq '<'rs

p(p+1) '<' (p+2)(p+3)

p^2 +p '<' p^2 +5p+6

-4p '<'6

p'>'-1.5 SUFFICIENT

(2) ps '<'qr

P(P+3) '<' (P+1)(P+2)

P^2+3P '<' P^2+3P+2

0 '<'2

This tells us nothing. Insufficient

Answer = A