Q. 1983.5( 6 Votes )

Test the divisibility of following numbers by 11

(a) 5335

(b) 9020814

Answer :

(a) A number divisible by 11 if difference sum of its digits at odd places and sum of its digits at even places is either 0 or a multiple of 11.


Sum of digits at odd places = 5 + 3 = 8


Sum of digits at even places = 3 + 5 = 8


8 - 8 = 0


Difference is 0


Hence, 5335 is divisible by 11.


(b) A number divisible by 11 if difference sum of its digits at odd places and sum of its digits at even places is either 0 or a multiple of 11.


Sum of digits at odd places = 4 + 8 + 2 + 9 = 23


Sum of digits at even places = 1 + 0 + 0 = 1


23 - 1 = 22


Difference is multiple of 11.


Hence, 9020814 is divisible by 11.


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