Question

17. What least number should be replaced for * so that 57*46 is exactly divisible by 11?​

Answer 1

Answer:

57046

Step-by-step explanation:

57*46 is divisible by 11

[ Test of divisibility by 11 : A number is divisible by 11 if the sum of the digits in the odd places and the sum of the digits in the even places difference is a multiple of 11 or zero]

here, digits in odd places are 6,*,5

         digits in even places are 4,7

so, (6+*+5)-(4+7) = 0

      => 11+*-11 = 0

      => * = 0

=> the digit is 0

so, the number divisible by 11 given here should be 57046