SAT Math Multiple Choice Practice Question 258: Answer and Explanation

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Question: 258


If a, b, and c represent different integers in the statements above, which of the following statements must be true?

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

Correct Answer: B


B "Must be true" kinds of questions are often best answered by process of elimination with examples.

Begin with a simple set of values, for instance , , and . Notice that these values satisfy all of the given information. This example clearly shows that statement I need not be true, because 0 is not greater than 0, and that statement III need not be true, because (0)(0) is not greater than (–1)2. This leaves only statement II as a possibility, so the answer must be (B).

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