Question

If one star equals four circles and three circles equal four diamonds, then what is the ratio of star:diamond?

• A. $3:16$
• B. $1:3$
• C. $3:4$
• D. $16:3$

Answer 1

Answer: (D)

$16:3$

Given one star$\left(S\right)$ equals four circles$\left(C\right)$ and three circles equal four diamonds$\left(D\right)$.

Then, $S=4C$ and $3C=4D$

Then, $C=\frac{4}{3}D$

$\therefore S=4\times \frac{4}{3}D$

$\Rightarrow S=\frac{16}{3}D$

Hence, $S:D=16:3$