Compare remainders when n − 2 is a multiple of 15

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Quantitative Reasoning

$n$ is a positive integer, and $n - 2$ is divisible by 15. Quantity A: The remainder when $n$ is divided by 3 Quantity B: The remainder when $n$ is divided by 5

Compare Quantity A and Quantity B. Select one answer.

AQuantity A is greater.BQuantity B is greater.CThe two quantities are equal.DThe relationship cannot be determined from the information given.

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Answer: C (The two quantities are equal.)

Since $n - 2$ is divisible by 15, there is an integer $k$ such that $n = 15k + 2$ . Because $15k$ is divisible by both 3 and 5, the remainder when $n$ is divided by either 3 or 5 is 2. Therefore, the two quantities are equal.

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Quantitative Reasoning

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