Carcass wrote:
If pq<1, and p and q are positive integers, which of the following must be greater than 1 ?
(A) √pq
(B) pq2
(C) p2q
(D) qp2
(E) qp
IMPORTANT: For questions like this, where you need to test each answer choice, the test-makers will often make D or E the correct answer (because they want to eat up your valuable time
). So, in these situations, always begin with E and work your way up.E. Is q/p > 1?
Well, we're told that p/q < 1.
Since q is a positive integer, we can multiply both sides by q to get: p < q
Since p is a positive integer, we can now divide both sides by p to get: 1 < q/p
So, answer choice E
must be true.
Answer: E