Difference between revisions of "2016 AMC 8 Problems/Problem 5"

Revision as of 10:05, 23 November 2016

The number $N$ is a two-digit number.

• When $N$ is divided by $9$ , the remainder is $1$ .

• When $N$ is divided by $10$ , the remainder is $3$ .

What is the remainder when $N$ is divided by $11$ ?

$\textbf{(A) }0\qquad\textbf{(B) }2\qquad\textbf{(C) }4\qquad\textbf{(D) }5\qquad \textbf{(E) }7$

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2016 AMC 8 (Problems • Answer Key • Resources)
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All AJHSME/AMC 8 Problems and Solutions

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	• When <math>N</math> is divided by <math>9</math>, the remainder is <math>1</math>.		• When <math>N</math> is divided by <math>9</math>, the remainder is <math>1</math>.
		+
	• When <math>N</math> is divided by <math>10</math>, the remainder is <math>3</math>.		• When <math>N</math> is divided by <math>10</math>, the remainder is <math>3</math>.