SAT Math Multiple Choice Practice Question 367: Answer and Explanation

Next steps

Question: 367

15.

In the figure above, and . If a, b, and c are all integers, what is the greatest possible value of b?

A. 43
B. 46
C. 60
D. 86
E. 89

Correct Answer: B

Explanation:

B From the diagram, we know that , and we know that .

If you want b to be as large as possible, then you need to make the sum of a and c as small as possible. The smallest integer value of a possible is 91. So let's say that a = 91.

So 43 is the largest possible value of c; this means that is the largest possible value of b.

Previous       Next