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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.

  • EACH 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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A rectangular, above ground, swimming pool is being drained. If Dana starts draining the pool at 6am, can she have the entire pool drained by the time she goes to bed at $10$ pm if she uses both types of tubes?

(1) If she only the thin tube to drain the pool, the pool will be drained in $48$ hours.

(2) If she uses only the extra thick tube to drain the pool, the pool will be drained in $20$ hours.

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

D

EACH statement ALONE is sufficient to answer the question asked

E

Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

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