A baseball coach wants to schedule an extra 1-hour practice on Saturday for players <em>A</em>, <em>B</em>, <em>C</em>, and <em>D</em>. Is there a one-hour period on Saturday that is open for all four players?<br/><br/>(1) On Saturday, <em>A</em> and <em>B</em> are free from 1:00 p.m. to 4:00 p.m.<br/><br/>(2) On Saturday, <em>C</em> is free from 2:00 p.m. to 5:00 p.m. and <em>D</em> is free from 12:00 noon to 3:00 p.m.
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AStatements (1) and (2) TOGETHER are NOT sufficient.
BBoth statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
CStatement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
DEACH statement ALONE is sufficient.
EStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
✓ Correct answer: B. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.To have sufficiency, you will need to know when each of the players is free.<br/><br/>Statement (1) alone is insufficient because it only gives information about players A and B. Eliminate choices (A) and (D).<br/><br/>Similarly, statement (2) alone is insufficient because it only has information regarding players C and D. Eliminate choice (B).<br/><br/>Statements (1) and (2) together have information about the open periods of all four players. From these two statements, you can determine that all four players are free from 2:00 p.m. to 3:00 p.m. Statements (1) and (2) together are sufficient and the answer must be choice (C).
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