7X2 is a three digit number and X is the missing digit. If the number is divisible by 6, the missing digit is
July 27, 2023
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Question
7X2 is a three digit number and X is the missing digit. If the number is divisible by 6, the missing digit is
Type
multiple_choice
Option
4
incorrect
Option
3
correct
Option
2
incorrect
Option
5
incorrect
Solution
The given number is divisible by 6 so it would be divisible by 2 and 3. As the last digit is 2 whatever be the value of X, it would be divisible by 2. Now, 7+X+2 = 9 + X, must be divisible by 3. ∴X = 3 makes the number divisible by 3, so 3 is the required digit.