GRE · Question of the Day

GRE Question of the Day

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Monday, September 21, 2026

For positive integer $n$ , $n$ is divisible by $6$ .

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices.

Column A: The remainder when $n$ is divided by $4$

Column B: $2$

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Question of the Day

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For positive integer $n$ , $n$ is divisible by $6$ .

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices.

Column A: The remainder when $n$ is divided by $4$

Column B: $2$

The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given. (correct answer)

Explanation: This question tests Quantitative Comparison reasoning. The key strategy is modular arithmetic with examples of multiples of 6. For Column A, n÷4 remainders alternate: 6 rem 2, 12 rem 0, 18 rem 2, 24 rem 0. For Column B, the value is 2. The relationship cannot be determined because the remainder is sometimes 0 (<2) and sometimes 2 (=2). A tempting incorrect option is to choose C, assuming all multiples of 6 leave remainder 2 when divided by 4. For example, testing only 6 and 18 supports equality, but 12 gives 0, showing variation.