Question

A number x is divided by 5 .What are the possible remainders?


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Answer 1

Answer:

If it will be divided by 2 then reminder wiil be 1 and if it will divided by 3 then reminder will be 2

Answer 2

Answer:

The descriptive solutions provided by others are very accurate, but to solve these type of questions without actually solving it, assume some values.

Now a number when divided by 5 leaves a remainder 3. So easiest is assume the number to be 3.

then 35 => Remainder 3

now 325 => Remainder 4

Next consider another number which leaves a remainder 3, when divided by 5, say 13.

then 135 => Remainder 3

now 1325 => Remainder 4

So we can safely generalize the answer to be 4.