When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder when N is divided by 30?
How would you go about solving this problem?
N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.
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