A number when divided by 221, leaves a remainder 30. If the same number is divided by 13, the remainder will be:

Correct option is A

Given :

A number when divided by 221, leaves a remainder of 30

Concept used:

Dividend = Divisor × Quotient + Remainder

Solution:

Let the dividend be x,

x = 221 × Q + 30

=> x = 221Q + 30

=> x = (13 × 17 × Q) + (13 × 2) + 4

=> x = 13(17Q + 2) + 4

∴ The same number is divided by 13, the remainder will be 4.