When a number is divided by 36, the remainder is 19. What will be the…
2024
When a number is divided by 36, the remainder is 19. What will be the remainder when the number is divided by 12?
- A.
7
- B.
5
- C.
3
- D.
0
Attempted by 6 students.
Show answer & explanation
Correct answer: A
Let x be the number and y be the quotient.
Then,
⇒ x = (36)y + 19
⇒ x = (12 × 3 × y) + (12 × 1) + 7
⇒ x = 12 × (3y + 1) + 7
∴ Required remainder = 7