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Question

Using the divisibility test, determine 5445 is divisible by 11 or not?


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Solution

Checking the divisibility by 11:

Divisibility test for 11: A number is divisible by 11, if the difference between the sum of the digits at even places and the sum of the digits at odd places(starting from the ones place) is divisible by 11.

Consider the number 5445

Sum of the digit at odd places =5+4=9

Sum of the digit at even places =4+5=9

The difference =9-9=0 which is divisible by 11.

Therefore, the number 5445 is divisible by 11.


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