Question

Which of the following are in proportion? (a) $2,3,20,30$ (b) $3,4,15,18$ (c) $1,3,11,22$ (d) $2,5,40,80$

• A. Option (a) is correct.
• B. Options (b), (c), and (d) are incorrect.

Answer 1

The correct option is A

Option (a) is correct.

Explanation for the correct option:

Option (a): The given proportion is $2,3,20,30$.

The proportion is as follows:

$\begin{array}{rcl}\frac{2}{3}& =& \frac{20}{30}\\ & \Rightarrow & \frac{2}{3}=\frac{2}{3}\end{array}$

Hence, option (a) is correct.

Explanation for the incorrect options:

Option (b): The given proportion is $3,4,15,18$.

The proportion is as follows:

$\begin{array}{rcl}\frac{3}{4}& =& \frac{15}{18}\\ & \Rightarrow & \frac{3}{4}\ne \frac{5}{6}\end{array}$

Option (c): The given proportion is $1,3,11,22$.

The proportion is as follows:

$\begin{array}{rcl}\frac{1}{3}& =& \frac{11}{22}\\ & \Rightarrow & \frac{1}{3}\ne \frac{1}{2}\end{array}$

Option (d): The given proportion is $2,5,40,80$.

The proportion is as follows:

$\begin{array}{rcl}\frac{2}{5}& =& \frac{40}{80}\\ & \Rightarrow & \frac{2}{5}\ne \frac{1}{2}\end{array}$

Hence, options (b), (c), and (d) are incorrect.

Hence, option (a) is correct.