Question

$x:5a38c15$

$y:241040b20d$; $x$ and $y$ are proportional. Which of the following is correct

• A. $d<c<a<b$
• B. $c<d<a<b$
• C. $c<d<b<a$
• D. $d<c<b<a$

Answer 1

The correct option is B $c<d<a<b$

$xy=5\times 24=3\times 40=120=k$

$\Rightarrow x$ is inversely proportional to $y$. [because product is constant]

$\Rightarrow 5\times 24=10a=3\times 40=8b=20c=15d=120$

$\Rightarrow a=\frac{120}{10}=12c=\frac{120}{20}=6$

$\Rightarrow b=\frac{120}{8}=15d=\frac{120}{15}=8$

$\Rightarrow c<d<a<b$.