CAT | Remainders

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Q #1
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#### CAT Number Theory: Remainders - Sum of Digits

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
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#### CAT Number Theory - Binomial Theorem

What is the remainder when (13100, + 17100,) is divided by 25?
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Q #3
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#### CAT Number Theory Remainders

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
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#### CAT Remainders

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
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#### CAT Remainders - Factorization Properties

What is the remainder when we divide 390, + 590, by 34?
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