Question

A number when divided by 1147 the remainder is 61.What will be the remainder obtained by dividing the same number with 37

1. 37
2. 24
3. 31
4. 45

Answer 1

Correct Answer - Option 2 : 24

GIVEN:

Divisior = 1147

Remainder = 61 

CONCEPT:

If the multiple of any number divides another number then the number also divides another number 

Number = Divisor × quotient + Remainder

CALCULATIONS:

Number = Divisor × quotient + Remainder

⇒ Number = 1147 × q + 61

⇒ (37 × 31)q + 37 + 24

⇒ 37(31q + 1) + 24

When this number is divided by then 24 will be the remainder

⇒ Remainder = 24

∴ The required remainder is 24