ykaiim wrote:
Q is less than 10. Is Q a prime number?
1) Q^2 - 2 = P; P is prime and P < 10.
2) Q + 2 is NOT prime, but Q is a positive integer.
Given:
q<10. Question:
q=prime?
(1)
q^2-2=p=prime<10 --> if
p=7, then
q=3=prime or
q=-3\neq{prime}. Not sufficient.
(2)
q+2\neq{prime},
q=positive \ integer. If
q=2 then answer is YES but if
q=4, then answer is NO. Not sufficient. From this statement
q can take the following values: 2, 4, 6, 7, 8 (remember
q<10 and
q+2\neq{prime}).
(1)+(2) The only value from (2) that satisfies
q^2-2=prime<10 is when
q=2=prime. Sufficient.
Answer: C.
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33% (07:02) correct
