Questions on Number Theory – Remainder patterns

Here are a few questions from remainders in Number Theory

1. What are the last two digits of the number 7 45 ?

2. What is the remainder when we divide 390 + 590 by 34?
 
3. N2 leaves a remainder of 1 when divided by 24. What are the possible remainders we can get if we divide N by 12?

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