Bunuel wrote:

The integers A, B, and C are consecutive and A < B < C. If A^2 = C, which of the following could be the value of A?

I. –1

II. 0

III. 2

A. I only

B. III only

C. I and II only

D. I and III only

E. I, II, and III

Let’s test out Roman numerals to see if we have A^2 = C.

I. If A = -1, then B = 0 and C = 1. Since (-1)^2 = 1, Roman numeral I works.

II. If A = 0, then B = 1 and C = 2. Since 0^2 = 0 ≠ 2, Roman numeral II does not work.

III. If A = 2, then B = 3 and C = 4. Since 2^2 = 4, Roman numeral III works.

Answer: D

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Jeffery Miller

Head of GMAT Instruction

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