Question

Mark the correct option(s) for the numbers divisble by 11.

• A. 141
• B. 123
• C. 396
• D. 451

Answer 1

Answer: (C), (D)

The correct options are
C 396
D 451

The divisibility rule for 11 states that the difference between the sum of digits in the even positions and the sum of digits in the odd positions should be either zero or 11.

Case 1:
141
Addiing the digits in odd place = 1 + 1 = 2
Adding the digits in even place = 4
Now,
2 - 4 is neither zero nor 11 so, 141 is not divisible by 11

Case 2:
123
Addiing the digits in odd place = 1 + 3 = 4
Adding the digits in even place = 2
Now,
4 - 2 = 2
$\therefore$ 123 is not divisible by 11

Case 3:
396
Addiing the digits in odd place = 3 + 6 = 9
Adding the digits in even place = 9
Now,
9 - 9 = 0
$\therefore$ 396 is divisible by 11

Case 4:
451
Addiing the digits in odd place = 4 + 1 = 5
Adding the digits in even place = 5
Now,
5 - 5 = 0
$\therefore$ 451 is divisible by 11