McGraw-Hill Education GRE 2019

When x is divided by 6, the remainder is 2. Which of the following could be

a value of x?

A 10

B 12

C 14

D 16

E 18

SOLUTION: Express x algebraically: x = 6I + 2. Determine which of the choices

will yield an integer value for I.

A: 10 = 6I + 2 → 8 = 6I → 8/6 = I. I is not an integer. → Eliminate A.

B: 12 = 6I + 2 → 10 = 6I → 10/6 = I. I is not an integer. → Eliminate B.

C: 14 = 6I + 2 → 12 = 6I → 2 = I. I is an integer. → The answer

is C.

D: 16 = 6I + 2 → 14 = 6I → 14/6 = I. I is not an integer. → Eliminate D.

E: 18 = 6I + 2 → 16 = 6I → 16/6 = I. I is not an integer. → Eliminate E.

SOLUTION: The correct answer is C.

180 PART 4 ■ MATH REVIEW

03-GRE-Test-2018_173-312.indd 180 12/05/17 11:51 am