SAT Math Multiple Choice Practice Question 400: Answer and Explanation

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Question: 400

4. If I do not have any flour, I am not able to make cookies.

If the statement above is true, which of the following statements must be true?

A. If I did not make cookies, I must not have had flour.
B. If I made cookies, I must have had flour.
C. If I have flour, I must be able to make cookies.
D. If I was able to make cookies, I must not have had any flour.
E. If I am not able to make cookies, I must not have any flour.

Correct Answer: B

Explanation:

B From the statement, you know that flour is necessary to make the cookies. You don't know that flour is the only thing necessary to make the cookies. For example, you may also need sugar and eggs. You cannot conclude A or E, because there may be other reasons for not making the cookies (maybe you didn't feel like it, or maybe you were out of sugar). Choice C is not necessarily true because there may be other things necessary besides flour. Answer choice D contradicts the original statement. Choice B must be true because you couldn't have made the cookies without the flour.

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