Question

11. X divided by 899 gives a remainder 63. What remainder will be obtained by dividing X by 29?
Expected answer is 10057 but how?

Answer 1

Let’s take the simplest possible dividend.

So, 899 (1) + 63 = 962.

This is on the basis of the formula-

Divisor (Quotient) + Remainder = Dividend

Now, when 962 is divided by 899, the quotient is 1 and the remainder is 63. So, we can use 962 as our dividend for 29.

962/29 = 33

Remainder = 5

You can repeat this with other quotient values. For example, 2.

899 (2) + 63 = 1861

1861/29 = 64

Remainder = 5

And so on…Keep taking possible whole number quotients and continue the above process.

Lastly, you can also use another technique. We know that 899 is divisible by 29.

899/29 = 31 (Perfect divisibility)

Now, in each case, the remainder after dividing by 899 is 63, as given in the question.

When 63 is divided by 29, it will always leave a remainder of 5.