Question

A group of $24$ students was polled as to whether they enjoy biology class, chemistry class, both, or neither. The results are shown in the below table. Given the data, mark the correct statement.

Type/Subject	Biology	Chemistry
Enjoy	$14$	$18$
Don’t Enjoy	$10$	$6$

A) The ratio of those who enjoy biology class to those who enjoy chemistry class is $7:8$
B) The ratio of those who enjoy chemistry class to those who don’t enjoy chemistry class is $9:4$.
C) The ratio of those who enjoy biology class to those who don’t enjoy chemistry class is $7:2$.
D) The ratio of those who don’t enjoy biology class to those who enjoy chemistry class is $5:9$.

Answer 1

Hint: The exact number of students who enjoy biology and chemistry and also the exact number of students who don’t enjoy biology and chemistry were given. Firstly, find out how many students enjoy and don’t enjoy biology and chemistry as the total number of students polled are $24$ students. Then find the required solution.

Complete step-by-step answer:
The number of students who polled are $24$ students.
Number of students who enjoy biology are $14$ students.
Number of students who enjoy chemistry are $18$ students.
Number of students who don’t enjoy biology are $10$ students.
Number of students who don’t enjoy chemistry are $06$ students.
Now, let us go optional wise so we can be on track always.
The very first one,
The ratio of those who enjoy biology class to those who enjoy chemistry class $ = \dfrac{{14}}{8}$
$ = 7:4$
But it is given $7:8$ in the question. So, it is not correct.
The second one,
The ratio of those who enjoy chemistry class to those who don’t enjoy chemistry class $ = \dfrac{{18}}{6}$
$ = 3:1$
But it is given $9:4$ in the question. So, it is not correct.
The third one,
The ratio of those who enjoy biology class to those who don’t enjoy chemistry class $ = \dfrac{{14}}{6}$
$ = 7:3$
But it is given $7:2$ in the question. So, it is not correct.
The fourth one,
The ratio of those who don’t enjoy biology class to those who enjoy chemistry class $ = \dfrac{{10}}{{18}}$
$ = 5:9$
It is also given $5:9$ in the question. So, it is the only correct option.
Hence, among four options the last option is the only correct one.
Option D is the correct answer.

Note: This kind of tabular data is very simple but you must pay attention while reading the data, because there is a very good chance of probability to do fault in understanding the data. Always cross check in all other possibilities after completion of the solution.