In each of the following numbers, replace M by the smallest number to make resulting number divisible by 3 :

(i) 64 M 3

(ii) 46 M 46

(iii) 27 M 53

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1 Answers

(i) 64 M 3

The given number = 64 M 3

Sum of its digit = 6 + 4 + 3 

= 13

The number next to 13 which is divisible by 3 is 15

Required smallest number =15 – 13 

= 2

(ii) 46 M 46

The given number = 46 M 46

Sum of its digits = 4 + 6 + 4 + 6 

= 20

The number next to 20 which is divisible by 3 is 21

Required smallest number = 21 – 20 

= 1

(iii) 27 M 53

The given number = 27 M 53

Sum of its digits = 2 + 7 + 5 + 3 

= 18

which is divisible by 3

Required smallest number = 0

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