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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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Nina's chicken wings come in spicy, barbecue, and garlic flavors, a combination of two flavors, and customers have the option to get the SBG Special (all 3 flavors combined). On the grand opening of this event, Nina gets $30$ customers; $12$ customers order spicy, $10$ customers order barbecue, and $10$ customers order garlic wings. $3$ customers dared to try the SBG.

How many customers ordered barbecue-garlic wings?

(1) $3$ customers ordered spicy-garlic wings, and $6$ more customers ordered just spicy wings than just garlic wings.

(2) $4$ customers ordered garlic-barbecue wings.

A

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

B

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

C

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

D

EITHER statement ALONE is sufficient to answer the question.

E

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked - more relevant data is required.

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