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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