Question

5. which of the following number is divisible by 11?
1)101010 2)111111
3)101001 4)100010

6. 75* is divisible by 4 replace * by the smallest number
1)4 2)6
3)2 4)8
7.343 is divisible by
1) 2 2)3
3) 7 4) 11
8.the number which is divisible by 8 but not by 6 is
1) 35610 2)124672
3) 52183 4)36926
9.which of the following numbers is divisible by 3?
1) 12345 2)453
3) 3690 4) 1235
10. the number 237* is divisible by 3 then the unknown non-zerodigit marked as * will be
1)1 2)4

3)6 4)5

Answer 1

Answer:

A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11.

(i) 5918

Sum of digits at odd places = 5 + 1 = 6 and,

Sum of digits at even places = 9 + 8 = 17

Their difference = 17 - 6 = 11

Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.

(ii) 68,717

Sum of digits at odd places = 6 + 7 + 7 = 20

And sum of digits at even places = 8 + 1 = 9

Difference = 20 - 9 = 11

Since difference is 11 which is divisible by 11, therefore 68,717 is divisible by 11

(iii) 3882

Sum of digits at odd places = 3 + 8 = 11 and,

Sum of digits at even places = 8 + 2 = 10

Difference = 11 - 10 = 1

Since difference is 1 which is not divisible by 11, therefore 3882 is not divisible by 11.

(iv) 10857

Sum of digits at odd places = 1 + 8 + 7 = 16

And, sum of digits at even places = 0 + 5 = 5

Difference = 16 - 5 = 11

Since difference is 11 which is divisible by 11, therefore 10857 is divisible by 11