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Solutions

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Question

Sally gave some of her candy to her friends. How many pieces of candy did she have before giving any to her friends?

I. Sally gave each friend 8 pieces of candy

II. Sally had 7 pieces of candy left after giving candy to her friends.


 

Option A:

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

 

Option B:

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

Option 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.

Option D:

EACH statement ALONE is sufficient to answer the question asked.

Option E:

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

Difficulty Level

Easy

Solution

Option E is the correct answer.


Option Analysis

Statement I is insufficient: Sally gave each friend 8 pieces of candy. Clearly insufficient.

Statement II is insufficient: Sally had 7 pieces of candy left after giving candy to her friends. Also insufficient.

Together I and II, If Sally gave candy to 2 of her friends, then she had 7+2*8=22 pieces of candy but if she gave candy to 3 of her friends, then she had 7+3*8=31 pieces of candy. Not sufficient.





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