Question

Test the divisibility of each of the numbers by 11:
(¡)22222.
(¡¡)444444.
(¡¡¡)379654.
(¡v)1057982.

Answer 1

Divisibility Principle of 11
If the difference , of the odd place digit and even place digit from right of the given number , is either 0 or divisible by 11, then the given number also divisible by 11
(i)22222
sum of odd places= 2+2+2=6
sum of even places= 2+2=4
difference = 6-4 = 2
Since the difference is 2 , so we can say the given number 22222 is not divisible by 11.
(ii) 444444
sum of odd places= 4+4+4 =12
sum of even places = 4+4+4 =12
difference = 12-12=0
Since the difference is 0 , so we can say the given number 444444 is divisible by 11.
(iii)379654
sum of odd places = 4+6+7=17
sum of even places =5+9+3 =17
difference = 17-17 =0
Since the difference is 0 , so we can say the given number 379654 is divisible by 11.
(iv) 1057982
sum of odd places = 2+9+5+1 = 17
sum of even places = 8+7+0=15
difference = 17-15 = 2
Since the difference is 2 , so we can say the given number 1057982 is not divisible by 11.

Answer 2

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