From the given numbers A, B, C and D, which number is NOT divisible by 11?
A = 712712
B = 177210
C = 64614
D = 756148
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. D.
A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is either 0 or a multiple of 11.
A = 712712
The sum of digits at odd places = 7 + 2 + 1 = 10
The sum of digits at even places = 1 + 7 + 2 = 10
Difference = 10 - 10 = 0
Thus, A is divisible by 11.
B = 177210
The sum of digits at odd places = 1 + 7 + 1 = 9
The sum of digits at even places = 7 + 2 + 0 = 9
Difference = 9 - 9 = 0
Thus, B is divisible by 11.
C = 64614
The sum of digits at odd places = 6 + 6 + 4 = 16
The sum of digits at even places = 4 + 1 = 5
Difference = 16 - 5 = 11
Thus, C is divisible by 11.
D = 756148
The sum of digits at odd places = 7 + 6 + 4 = 17
The sum of digits at even places = 5 + 1 + 8 = 14
Difference = 17 - 14 = 3
Thus, D is not divisible by 11.
Therefore, 756148 (D) is not divisible by 11.