7X2 is a three digit number and X is the missing digit. If the number is divisible by 6, the missing digit is
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. |