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?

  1. A.

    7

  2. B.

    5

  3. C.

    3

  4. 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

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