Which of following numbers is NOT divisible by 11?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 128041.
Divisibility rule of 11: This rule stated that a number is divisible by 11 when the difference between the sum of the digits at the odd place and the sum of the digits at the even place is equal to 0 or 11.
According to the given options,
Option 1: 109153
Sum of digits at odd places = 1 + 9 + 5
⇒ 15
Sum of digits at even places = 0 + 1 + 3
⇒ 4
Differece = 15 - 4 = 11 (Divisible)
Option 2: 5445
Sum of digits at odd places = 5 + 4
⇒ 9
Sum of digits at even places = 4 + 5
⇒ 9
Differece = 9 - 9 = 0 (Divisible)
Option 3: 128041
Sum of digits at odd places = 1 + 8 + 4
⇒ 13
Sum of digits at even places = 2 + 0 + 1
⇒ 3
Differece = 13 - 3 = 10 (Not divisible)
Option 4: 80124
Sum of digits at odd places = 1 + 8 + 4
⇒ 13
Sum of digits at even places = 2 + 0
⇒ 2
Differece = 13 - 2 = 11 (Divisible)
Hence the required answer is 128041.