Question

If $x\text{and}y$ are directly related, then, find $l,m\text{and}n$.

$x$	$8$	$4$	$l$	$16$
$y$	$4$	$m$	$32$	$n$

• A. $m=2l=64n=8$
• B. $m=8l=16n=32$
• C. $m=2l=8n=32$
• D. $m=8l=16n=32$

Answer 1

The correct option is A $m=2l=64n=8$

Given,
$x\text{and}y\text{are directly related}$.
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

$\left(i\right)$
Let,
$x_1=8$
$y_1=4$
$x_2=4$
$y_2=m$
$\Rightarrow \frac{8}{4}=\frac{4}{m}$
$\Rightarrow m=\frac{16}{8}=2$

$\left(ii\right)$
Let,
$x_1=8$
$y_1=4$
$x_2=l$
$y_2=32$
$\Rightarrow \frac{8}{4}=\frac{l}{32}$
$\Rightarrow l=\frac{256}{4}=64$

$\left(iii\right)$
Let,
$x_1=8$
$y_1=4$
$x_2=16$
$y_2=n$
$\Rightarrow \frac{8}{4}=\frac{16}{n}$
$\Rightarrow m=\frac{64}{8}=8$