Question

A number when divided by 527 gives a

remainder 40. By dividing the same

number by 17, what would be the

remainder ?​

Answer 1

Answer:

ans=1

Step-by-step explanation:

There is certain number and the number when divided by 527 gives you 40 as the remainder, therefore, the number N, is of the type

N = 527*x + 40 -> x is going from 0 to anything, considering only +ve numbers

Now, this number N, is being divided by 40 and the question is, what would be the remainder.

When we are dividing N by 40, we are actually dividing 527*x + 40 by 40

Since 40/40 is not generating any remainder, it is important to focus on 527*x and + 40 part could be ignored from the remainder point of view.

So you see, if x is 0 then 527*x = 0 and thus the remainder is 1