A jar contains 30 marbles, of which 20 are red and 10 are blue. If 9 of the marbles are removed, how many of the marbles left in the jar are red?
(1) Of the marbles removed, the ratio between the number of red ones to the number of blue ones is 2:1.
(2) Of the first 6 marbles removed, 4 are red.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Statement (1) actually says that we have removed 6 red marbles and 3 blue marbles, making a total of 9. This is sufficient to tell how many red (and blue) marbles remain in the jar.
Statement (2) is insufficient because, though informative about the first six marbles taken out, it leaves unclear the result of the final three - and we needed that information to tell how many red marbles were left. So the correct answer should be (A).
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