Question

Which digit must replace ‘x’ in 2463x so that the number is divisible by 6?

Options

• 0

• 2

• 3

• 4

Answer 1

0

Explanation:

For a number to be divisible by 6, it must be divisible by 2 and 3.

• Divisible by 2 → last digit x must be even.
  Possible even digits: 0, 2, 4

• Divisible by 3 → sum of digits must be divisible by 3.
  Sum = 2 + 4 + 6 + 3 + x = 15 + x

Only 0 makes the number divisible by both 2 and 3, so the number is divisible by 6.