If the three-digit number 24\(x\), where \(x\) is the units digit, is divisible by 9, what is the value of \(x\)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 3
A number is divisible by 9 when the sum of its digits is divisible by 9.
Sum of the digits \(=2+4+x=6+x\)
\(x\) is a single digit, so \(6+x\) lies between 6 and 15
The only multiple of 9 in that range is 9, so \(6+x=9\)
\(x=3\)
The number is 243 \(=9\times27\), and the value of \(x\) is 3.