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• Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient • Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient • BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient • EACH statement ALONE is sufficient • Statements (1) and (2) TOGETHER are NOT sufficient
Statement (1) by itself is insufficient. Consider X=13, Y=11 and X=7 , Y=5 Statement (2) by itself is insufficient. Consider X=5, Y=3 and X=3 , Y=2 Statements (1) and (2) combined are insufficient. Consider X=5, Y=3 and X=5, Y=2 The correct answer is E.
I believe the correct answer is C, since 1 is not a prime number, therefore the only possible pair is 3 and 5.