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Find which of the following number is divisible by 11?*246542415624146532426513

Question

Find which of the following number is divisible by 11?

  • 246542415624146532426513
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Solution

To check if a number is divisible by 11, you can use the rule of 11. The rule of 11 states that a number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places is either 0 or a number divisible by 11.

Let's apply this rule to the number 246542415624146532426513:

  1. Separate the digits at odd and even places: Odd places: 2, 6, 4, 4, 5, 2, 4, 4, 6, 3, 2, 6, 1, Even places: 4, 5, 2, 1, 6, 2, 1, 5, 2, 4, 5, 3

  2. Sum the digits at odd and even places: Sum of odd place digits: 2+6+4+4+5+2+4+4+6+3+2+6+1 = 49 Sum of even place digits: 4+5+2+1+6+2+1+5+2+4+5+3 = 40

  3. Subtract the sum of even place digits from the sum of odd place digits: 49 - 40 = 9

Since 9 is not divisible by 11, the number 246542415624146532426513 is not divisible by 11.

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