Question

$x$ is a five digit number. The digit in the ten thousands' place is $1$. The number formed by its digits in units' and tens' place is divisible by $4$. The sum of the digits is divisible by $3$. If $5$ and $7$ also divide $x$, then the value of $x$ will be

• A. $14040$
• B. $12060$
• C. $10020$
• D. $10080$

Answer 1

The correct option is D $10080$

Checking the divisibility of all the four given numbers by $7$, we see that only $10080$ is divisible by $7$.
Further, $80$ is divisible by $4$.
$1+0+0+8+0=9$ is divisible by $3$ and the units' digit of $10080$ being $0$, it is divisible by $5$, too.