Q #1

⏰ :

The sum of the digits of a number N is 23. The remainder when N is divided by 11 is 7. What is the remainder when N is divided by 33?

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Q #2

⏰ :

What is the remainder when (13^{100}, + 17^{100},) is divided by 25?

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Q #3

⏰ :

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?

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Q #4

⏰ :

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

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Q #5

⏰ :

What is the remainder when we divide 3^{90}, + 5^{90}, by 34?

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