In each of the following numbers, replace - by the smallest number to make it divisible by 3.
(i) 27*4
(ii) 53*46
(iii) 8*711
(iv) 62*35
(v) 234*17
(vi) 6*1054
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Answer:
A number is divisible by 3, if the sum of digits is a number divisible by 3.
(i) Sum of digits = 2+7+4 = 13
15 is the closest multiple of 3, that is greater than 13.
* = 15 - 13 = 2
(ii) Sum of digits = 5+3+4+6 = 18
18 is a multiple of 3.
So, the smallest value of * is 0.
(iii) Sum of digits = 8+7+1+1 = 17
18 is the closest multiple of 3, that is greater than 17.
* = 18 - 17 = 1
(iv) Sum of digits = 6+2+3+5 = 16
18 is the closest multiple of 3, that is greater than 16.
* = 18 - 16 = 2
(v) Sum of digits = 2+3+4+1+7 = 17
18 is the closest multiple of 3, that is greater than 17.
* = 18 - 17 = 1
(vi) Sum of digits = 6+1+0+5+4 = 16
18 is the closest multiple of 3, that is greater than 16.
* = 18 - 16 = 2
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