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Moderate

What Percent of the Marbles Are Blue

GMAT-BNP3HM

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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You have a number of marbles. $5$ of your marbles are red. $10$ of your marbles are blue.

Are over $40\%$ of your marbles blue?

(1) 8 of your marbles are yellow.
(2) Each of your marbles is red, blue, or yellow.

A

Statement (1) ALONE is sufficient, but statement (2) ALONEis 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

EACH statement ALONE is sufficient to answer the question asked.

E

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