MathDB
Can you Guess the Number?

Source: 2016 AMC 8 #5

November 23, 2016
AMC 82016 AMC 8

Problem Statement

The number NN is a two-digit number.
[*]When NN is divided by 99, the remainder is 11. [*]When NN is divided by 1010, the remainder is 33.
What is the remainder when NN is divided by 1111?
<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>4<spanclass=′latex−bold′>(D)</span>5<spanclass=′latex−bold′>(E)</span>7<span class='latex-bold'>(A) </span>0\qquad<span class='latex-bold'>(B) </span>2\qquad<span class='latex-bold'>(C) </span>4\qquad<span class='latex-bold'>(D) </span>5\qquad <span class='latex-bold'>(E) </span>7
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