Question

Both $uandv$ vary directly with each other. When $uis10$, $vis15$, which of the following is not a possible pair of corresponding values of $u$ $andv?$

• A. $2and3$
• B. $8and12$
• C. $15and20$
• D. $25and37.5$

Answer 1

The correct option is C

$15and20$

Given

• $$\begin{gathered} u=10 \\ v=15 \end{gathered}$$

$uandv$ vary directly, hence,

$\frac{u}{v}=k$(constant)

Hence,

$\frac{u}{v}=\frac{10}{15}=\frac{2}{3}$

Now if we observe the options given,

Option (a) $\Rightarrow 2/3$

Option (b)$\Rightarrow \frac{8}{12}=\frac{2}{3}$

Option (c) $\Rightarrow \frac{15}{20}=\frac{3}{4}$

Option (d)$\Rightarrow \frac{25}{37.5}=\frac{2}{3}$

Therefore, $\frac{15}{20}$ is not the possible pair of corresponding values of $uandv.$