Question

$1x3y6$ is a five digit number where $x,y$ are digits and $y$ exceeds $x$ by $6$. If this number is divisible by $18$, then the value of $\frac{y}{x}$ is

• A. $7$
• B. $3$
• C. $\frac{1}{3}$
• D. $\frac{1}{7}$

Answer 1

Answer: (A)

$7$

$1x3y6$ is divisible by $18$, then it will be divisible by $9$ also.
Thus, sum of digits of the number = $1+x+3+y+6$ = $10+x+y$
The sum should be 18, hence, $x+y=8$...(1)
Given, $y-x=6$...(2)
Solving 1 and 2,
we get, $y=7$ and $x=1$
$\frac{y}{x}=7$
Hence, option 'A' is correct.