Find which of the following number is divisible by 11?

Step-by-Step Solution

A number is divisible by 11 if the difference between the sum of its digits at odd positions and the sum of its digits at even positions is either 0 or a multiple of 11.

Let's test each option by calculating the difference between the sums of digits at odd positions (1st, 3rd, 5th, etc., from the right) and even positions (2nd, 4th, 6th, etc., from the right).

1. Option A: 246542

   • Sum of odd positions (2+5+4) = 11

   • Sum of even positions (4+6+2) = 12

   • Difference = 12 - 11 = 1 (Not divisible by 11)

2. Option B: 415624

   • Sum of odd positions (4+6+1) = 11

   • Sum of even positions (2+5+4) = 11

   • Difference = 11 - 11 = 0 (Divisible by 11)

3. Option C: 146532

   • Sum of odd positions (2+5+4) = 11

   • Sum of even positions (3+6+1) = 10

   • Difference = 11 - 10 = 1 (Not divisible by 11)

4. Option D: 426513

   • Sum of odd positions (3+5+2) = 10

   • Sum of even positions (1+6+4) = 11

   • Difference = 11 - 10 = 1 (Not divisible by 11)