If sq. root n is a positive integer, what is the value of n?
(1) 1 < sq. root n <5
(2) l0 < n < 24
Answer: B
(1) 1 < sq. root n <5
(2) l0 < n < 24
Answer: B
Hi!irock wrote:If sq. root n is a positive integer, what is the value of n?
(1) 1 < sq. root n <5
(2) l0 < n < 24
Answer: B
Let's start by analyzing the question stem. If sqrt(n) is a positive integer, then n is a perfect square, e.g. 1, 4, 9, 16, ... We want to know the exact value of n.
(1) we know that sqrt(n) is an integer between 1 and 5. So, sqrt(n) could be 2, 3 or 4. Each of those gives us a different value for n: insufficient.
(2) we know that n is perfect square between 10 and 24. The only perfect square in that range is 16, so n MUST be 16: sufficient.
(2) is sufficient, (1) is insufficient - choose (B)!
