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?
A. 00
B. 22
C. 44
D. 55
E. 77

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Worked solution

1. 2016 AMC 8 官方解析

The smallest possible NN is 7373, and 73÷11R773 \div 11\text{R}7.

Answer

E. 77

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