Question

8. In each of the following replace * by a digit so that the number formed is divisible
by 11:

(i) 8 * 9484
(ii) 9 * 53762
The first who will answer the correct he/she will be marked as brainlist....​

Answer 1

Answer:

(i) 6, (ii) 3

Step-by-step explanation:

A number is divisible by 11 if the difference between the digits at the odd places and the digits at the even places is 0 or a number divisible by 11.

(i) Digits at odd places = 4, 4 and *. 4 + 4 + * = 8 + *

Digits at even places = 8, 9 and 8. 8+9+8 = 25

25 - 11 = 14.

=> 8 + * = 14

=> * = 14 - 8 = 6

(ii) Digits at odd places = 2, 7, 5 and 9. 2+7+5+9 = 23

Digits at even places = 6, 3 and *. 6 + 3 + * = 9 + *

23 - 11 = 12

=> 9 + * = 12

=> * = 12 - 9 = 3