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INSTRUCTIONS

This data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts, you must indicate whether:

• Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

• Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.

• BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

• Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

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In a set of $5$ consecutive integers, the smallest $2$ integers multiply to make the largest integer of the prompt.

What is the smallest integer?

(1) All of the integers are positive
(2) $1$ is not in the set

A

Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

B

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.

C

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

D