[Wonder Boy]

Just for practice solve five questions related to Remainders  today. Answer with complete solution. I will post solution tomorrow :

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Question 1: What is the remainder when (13^100 + 17^100) is divided by 25?

Question 2: A number when divided by 18 leaves a remainder 7. The same number when divided by 12 leaves a remainder n. How many values can n take?

Question 3: N leaves a remainder of 4 when divided by 33, what are the possible remainders when N is divided by 55?

Question 4: What is the remainder when we divide 3^90 + 5^90 by 34?

Question 5: N^2 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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