Question

find the digit in the units place of a number if it is divided by 5 and 2 leaves the remainders 3 and 1 respectively​

Answer 1

Answer: 3

If a number divided by 5 leaves remainder 3, then the digit at unit place can either be 3 or be 8.

So there are only two possibilities according to the divisor 5; 3 and 8.

But, when that number divided by 2 leaves remainder 1, then the digit at unit place shall be an odd number, i.e., either one among 1, 3, 5, 7 and 9.

So there are 5 possibilities according to the divisor 2.

Now we've to find which number is the common among them.

Possible unit digits according to 5

--> 3, 8

Possible unit digits according to 2

--> 1, 3, 5, 7, 9

Among these two, 3 is the common.

So 3 is the answer.

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