2002 CEMC Gauss (Grade 8) Problems/Problem 4

Problem

An integer is divided by $7$ and the remainder is $4$ . An example of such an integer is

$\text{ (A) }\ 14 \qquad\text{ (B) }\ 15 \qquad\text{ (C) }\ 16 \qquad\text{ (D) }\ 17 \qquad\text{ (E) }\ 18$

From the first sentence, we know that the integer must be $4$ more than a multiple of $7$ since we have $7q + 4$ , where $q$ is an integer.

Looking at the answer choices, we see that $\boxed {\textbf {(E) } 18}$ is the only one that satisfies this requirement.

~anabel.disher

2002 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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CEMC Gauss (Grade 8)