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Question

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

A = 712712 

B = 177210 

C = 64614 

D = 756148

The correct answer is

D

Divisibility Rule of 11:

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 a multiple of 11.

Checking for Given Numbers:

A (712712): Difference = (7+2+1) - (1+7+2) = 10 - 10 = 0 (Divisible)

B (177210): Difference = (1+7+2) - (7+2+0) = 10 - 9 = 1 (Divisible)

C (64614): Difference = (6+6+4) - (4+1) = 16 - 5 = 11 (Divisible)

D (756148): Difference = (7+6+4) - (5+1+8) = 17 - 14 = 3 (Not Divisible)

Final Answer: D

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Important Questions from Divisibility Rules

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

  2. Which of the following numbers is NOT divisible by 11?

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

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

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