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GRE Quantitative Reasoning QUESTION #8177
Question 1

Let $n$ be a positive integer divisible by 6. Compare:

Quantity A: The remainder when $n$ is divided by 12

Quantity B: The remainder when $n$ is divided by 18

  • Quantity A is greater
  • Quantity B is greater
  • The two quantities are equal
  • The relationship cannot be determined from the information given✔️
Correct Answer Explanation

Since $n$ is divisible by 6, $n$ can be $6, 12, 18, 24, 30, 36, \ldots$

Example 1: $n = 12$. Remainder ÷12 $= 0$. Remainder ÷18 $= 12$. B > A.

Example 2: $n = 18$. Remainder ÷12 $= 6$. Remainder ÷18 $= 0$. A > B.

Example 3: $n = 36$. Remainder ÷12 $= 0$. Remainder ÷18 $= 0$. Equal.

The relationship changes, so it cannot be determined.