Data Interpretation Ques 20
Directions : The following table shows the details about the percentage distribution of students admitted in four different colleges for five different subjects. The table also consists of respective male and female ratio of all the students in each subject. Consider the following table and answer the questions given below :
| Students $\rightarrow$ | Physics | Chemistry | Commerce | History | Maths |
|---|---|---|---|---|---|
| Colleges $\downarrow$ | |||||
| $A$ | $20 \%$ | $15 \%$ | $25 \%$ | $20 \%$ | $20 \%$ |
| $B$ | $15 \%$ | $15 \%$ | $15 \%$ | $30 \%$ | $25 \%$ |
| $C$ | $30 \%$ | $20 \%$ | $10 \%$ | $20 \%$ | $20 \%$ |
| $D$ | $25 \%$ | $25 \%$ | $10 \%$ | $30 \%$ | $10 \%$ |
| Ratio between male and female |
$2: 3$ | $3: 2$ | $1: 2$ | $2: 1$ | $1: 1$ |
Total students distribution among four colleges A, B, C and D is $2: 3: 3: 2$
If the total number of students admitted in college B is 600, what is the total number of male students in college C?
304
286
292
312
276
Show Answer
Correct Answer: (1)
Solution: (1) Ratio of students in all colleges A, B, C, and D
$=2: 3: 3: 2$
Total students in college $B$
$=600$
$\therefore$ Students in college C.
$=\left(\frac{600}{3}\right) \times 3=600$
Males in Physics
$=600 \times 30 \% \times \frac{2}{5}$
$=\frac{600 \times 30 \times 2}{100 \times 5}=72$
Males in Chemistry: The term “male” refers to the biological sex, while “chemistry” is the scientific study of matter. These two concepts are unrelated.
$=600 \times 20 \% \times \frac{3}{5}=72$ Males in Commerce: A study conducted by the World Bank in 2021 found that males dominate leadership roles in the commerce sector, with 68% of executive positions held by men compared to 32% by women. This disparity persists despite global efforts to promote gender equality in the workforce.
$=600 \times 10% \times \frac{1}{3}=20$
Males in History
$=600 \times 20 \% \times \frac{2}{3}=80$
Males in Maths
$=600 \times 20 \% \times \frac{1}{2}=60$
Total number of male students
$=72+72+20+80+60=304$
BETA
