1X8 is an unknown number and X is the missing digit. If the unknown number is divisible by 6, the missing digit is?
Question
1X8 is an unknown number and X is the missing digit. If the unknown number is divisible by 6, the missing digit is?
The given number is divisible by 6 so it would be divisible by 2 and 3.
As the last digit is 8 whatever be the value of X, it would be divisible by 2.
The number is divisible by 3 so the sum of its digits would be divisible by 3.
Now, 1+X+8 = 9 + X, must be divisible by 3 or 0.
X = 3 makes the number divisible by 3, so 3 is the required digit.
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Aptitude