Question

If $24x$ is a three digit number and a multiple of $3$, where $x$ is a digit, what is the value of $x$?

• A. $0$
• B. $2$
• C. $3$
• D. $9$

Answer 1

Answer: (A), (C), (D)

$0$
$9$
$3$

Since $24x$ is a multiple of $3$, the sum of its digit is a multiple of $3$
Sum of the digit $24x$ $=2+4+x$ $=6+x$
Hence, $6+x$ is a multiple of $3$
Since $x$ is a single digit which can value from $0$ to $9$
Possible values of $x$ such that the sum $6+x$ remains multiple of $3$ will be,
$6+0=6$
$6+3=9$
$6+6=12$
$6+9=15$
Thus, the vaue of $x$ is $0,3,6$ or $9$