Question

Question 1

Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v?
(a) 2 and 3
(b) 8 and 12
(c) 15 and 20
(d) 25 and 37.5

Answer 1

Since, u and v vary directly, i.e.,
$\frac{u}{v}=k\left(constant\right)$

If u =10 and v =15, then,
$\frac{u}{v}=\frac{10}{15}=\frac{2}{3}$

In option (b), $\frac{8}{12}=\frac{2}{3}$
In option (c), $\frac{15}{20}=\frac{3}{4}$
In option (d), $\frac{25}{37.5}=\frac{2}{3}$

So, option (c)is not a possible pair of corresponding values of u and v.
Hence, option (c) is correct