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Question

Which of the following numbers is NOT divisible by 11?

The correct answer is

128041

To check divisibility by 11, we use the rule that the difference between the sum of the digits in odd positions and the sum of the digits in even positions must be divisible by 11 or equal to 0.

For 109153:

Sum of digits in odd positions: 1 + 9 + 5 = 15

Sum of digits in even positions: 0 + 1 + 3 = 4

15 - 4 = 11, which is divisible by 11, so 109153 is divisible by 11.

For 5445:

Sum of digits in odd positions: 5 + 4 = 9

Sum of digits in even positions: 4 + 5 = 9

9 - 9 = 0, which is divisible by 11, so 5445 is divisible by 11.

For 80124:

Sum of digits in odd positions: 8 + 1 + 4 = 13

Sum of digits in even positions: 0 + 2 = 2

13 - 2 = 11, which is divisible by 11, so 80124 is divisible by 11.

For 128041:

Sum of digits in odd positions: 1 + 8 + 4 = 13

Sum of digits in even positions: 2 + 0 + 1 = 3

13 - 3 = 10, which is not divisible by 11, so 128041 is NOT divisible by 11.

Thus, the correct answer is option 4: 128041.

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Important Questions from Divisibility Rules

  1. Find the least value of x for which 57x716 is divisible by 9.

  2. If 321y72 is a multiple of 6, where y is a digit, what is the least value of y?

  3. From the given numbers A, B, C and D, which number is NOT divisible by 11? 

    A = 712712 

    B = 177210 

    C = 64614 

    D = 756148

  4. Which of the following numbers is divisible by 7 ?

  5. Which of the following numbers is divisible by 71?
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