Question

Que7: Find the least number that should be
subtracted from 1000 so that 30 divides the
difference exactly​

Answer 1

20 is the least number that should be subtracted from 1000 so that 35 divides the difference exactly.

Step-by-step explanation:

We have to find the least number that should be subtracted from 1000 so that 35 divides the difference exactly.

For this, we shall first divide 1000 by 35.

On dividing 1000 by 35, we get

Remainder = 20

So, 20 is the least number that should be subtracted from 1000 to make it exactly divisible by 35.

Verification:

We can verify this too by subtracting 20 from 1000,

we get 980.

And on dividing 980 by 35, we get remainder 0, which means it is exactly divisible by 35.