Multiple choice

The ratio between the divisor and remainder is 3 : 2 and the ratio between the divisor and the quotient in 7 : 12. If remainder is 14, then find the remainder when the dividend is divided by 9.

  1. 7

  2. 2

  3. 5

  4. 3

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Divisor:Remainder = 3:2, Remainder = 14, so Divisor = 21. Divisor:Quotient = 7:12, so Quotient = 36. Dividend = Divisor × Quotient + Remainder = 21 × 36 + 14 = 756 + 14 = 770. When 770 is divided by 9: 770 = 9 × 85 + 5, so remainder is 5.