Question: If S is a set of ten consecutive integers, is the integer 5 in S?

(1) The integer -3 is in S.
(2) The integer 4 is in S.

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are not sufficient.

“If S is a set of ten consecutive integers, is the integer 5”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Official Guide 2018 Quantitative Review". GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

Solution and Explanation:
Approach Solution 1:
Even when we consider two statements together, set S could be {-5, -4, -3, ..., 3, 4} and the answer would be NO but set S also could be {-3, -2, ..., 4, 5, 6}.

Correct Answer: E

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