If the number 467\(X\)4 is divisible by 9, where \(X\) is a digit, what is the value of \(X\)?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 6
A number is divisible by 9 when the sum of its digits is divisible by 9.
Sum of the digits \(=4+6+7+X+4=21+X\)
\(X\) is a single digit (0 to 9), so \(21+X\) lies between 21 and 30
The only multiple of 9 in that range is 27, so \(21+X=27\)
\(X=6\)
The number is 46764 and the value of \(X\) is 6.