# CAT Practice : Number System - Remainders

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How many possible remainders are there when A is divided by B, especially when we know that A by C leaves a specific remainder.

## Remainders

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?
1. 2
2. 0
3. 1
4. 3

Choice A. 2

## Detailed Solution

Number can be 7, 25, 43, 61, 79.

Remainders when divided by 12 are 7 and 1.

n can take exactly 2 values

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## More questions from Number Theory - Remainders

When we divide 24 pigeons into 5 groups, 4 are left out or remain. This is the remainder. When there is a question based on this idea in the exam, we have a CAT among the pigeons.