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

(i) 8 * 9484<

1 thought on “<br />8. In each of the following replace * by a digit so that the number formed is divisible<br />by 11:<br /><br />(i) 8 * 9484<”

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

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