If the number 3\(X\)452 is divisible by 9, where \(X\) is a digit, what is the value of \(X\)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 4
A number is divisible by 9 when the sum of its digits is divisible by 9.
Digit sum \(=3+4+5+2+X=14+X\)
\(X\) is a digit from 0 to 9, so \(14+X\) lies between 14 and 23; the only multiple of 9 there is 18
\(X=18-14=4\)
The value of \(X\) is 4.
Why the other options are incorrect
Option (1) 5 — Incorrect. The digit sum would be 19, which is not a multiple of 9.
Option (3) 2 — Incorrect. The digit sum would be 16, which is not a multiple of 9.
Option (4) 6 — Incorrect. The digit sum would be 20, which is not a multiple of 9.