Question

A number when divided by 259 leaves a remainder 139. What will be the remainder when the

same number is divided by 37?

(A) 28 (B) 29

(C) 30 (D) 31​

Answer 1

Answer:

28.

Step-by-step explanation:

Given: A number when divided by 259 leaves a remainder 139.

To Find : what will be the remainder when the same number is divided by 37?

Solution:

Let the divisor be n .

Let the quotient be q

Dividend = (Divisor \times Quotient)+RemainderDividend=(Divisor×Quotient)+Remainder

Dividend = (259q)+139Dividend=(259q)+139

Dividend = 37(7q)+111+28Dividend=37(7q)+111+28

Dividend = 37(7q)+3(37)+28Dividend=37(7q)+3(37)+28

Dividend = 37(7q+3)+28Dividend=37(7q+3)+28

Thus the remainder is 28 .