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Given :
67x2 is divisible by 3
To find :
x = ?
Solution :
We know that a number is divisible by 3 only if sum of its digits is also divisible by 3.
Sum of digits
= 6+7 + 2 + x
= x + 9 + 6
= x + 15
If we substitute value of x as 2 we get sum as 17 which is not divisible by 3. ( So eradicate 1 option)
Similarly if we substitute value of x as 4 we get 19 which is not divisible by 3. ( So eradicate 2 option)
If we substitute value as 0 and 6 , we get 15 and 21 respectively which are divisible by 3.
So, answer could be either 0 or 6.
If we read question again , we come to know that in question it's written smallest missing number.
So, x = 0. (Option 3)
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