Question

Given that the number 35a6 is divisible by 3, where ‘a’ is a digit, what are the possible values of ‘a’

Answer 1

Answer:

1 , 4 and 7

Step-by-step explanation:

any number is divisible by 3 only when sum of its digit is divisible by 3

thus, 3+5+a+6 = 14 + a

(14+a) is divisible by 3 if (14+a) = 15 , 18 or 21

if 14+a = 15 then a = 1

if 14+a = 18 then a = 4

if 14+a = 21 then a = 7

possible values of a are 1 , 4 and 7