Question

If $xy<82$ and $y$ is a positive multiple of $3$, find the greatest possible integer value of $x$.

• A. $9$
• B. $13$
• C. $27$
• D. $30$
• E. $41$

Answer 1

The correct option is C $27$

Given, $xy<82$ and $y$ is a positive multiple of $3$ and we have to find greatest possible integer value of $x$.
Value of $x$ will be greatest when value of $y$ will be least, so the least value of $y$ will be $3$ as $y$ is positive multiple of $3$.
$\Rightarrow 3x<82$

$\Rightarrow x=27$