UPSC CSAT 2013 · Quant: How many Physics professors belong to the age group 35–44?
How many Physics professors belong to the age group 35–44?
- A18
- B16
- C14
- D12
Show hint
Step 1: Get total Physics professors from the bar graph (add male + female). Step 2: Apply the percentage from the pie chart.
Show answer
Answer: (B) 16
Total Physics professors = 32 (male) + 8 (female) = 40 (from the bar graph).
The pie chart shows the 35–44 age group is 40% of Physics professors.
So 40% of 40 = 16.
Which one of the following disciplines has the highest ratio of males to females?
Select the correct answer.
- APhysics
- BMathematics
- CChemistry
- DEconomics
Show hint
Divide Male by Female for each discipline. You don't need exact decimals — just compare: 32/8 vs 28/8 vs 16/22 vs 24/8.
Show answer
Answer: (A) Physics
Compute male-to-female ratio for each option:
- Physics = 32/8 = 4.0
- Mathematics = 28/8 = 3.5
- Chemistry = 16/22 ≈ 0.73
- Economics = 24/8 = 3.0
Physics has the highest ratio at 4:1.
What percentage of all Psychology professors are females?
- A40%
- B50%
- C60%
- D70%
Show hint
Read the Psychology bars carefully from the graph, then compute: Female ÷ Total × 100.
Show answer
Answer: (C) 60%
From the bar graph,
Psychology has
Male = 4,
Female = 6,
Total = 10.
Female percentage = 6/10 × 100 = 60%.
If the number of female Physics professors in the age group 25–34 equals 25% of all the Physics professors in that age group,
then what is the number of male Physics professors in the age group 25–34?
- A9
- B6
- C3
- D2
Show hint
Chain two percentage calculations: First find total Physics professors aged 25–34 (pie chart % × total from bar). Then subtract 25% females from that.
Show answer
Answer: (A) 9
Total Physics = 40.
From the pie chart,
25–34 age group = 30% of 40 = 12 professors.
If females in this group = 25% of 12 = 3,
then males = 12 − 3 = 9.
If the Psychology professors in the University constitute 2% of all the professors in the University,
then what is the number of professors in the University?
- A400
- B500
- C600
- D700
Show hint
If Psychology (10 professors) is 2% of the total, then Total = 10 ÷ 2%
Show answer
Answer: (B) 500
Total Psychology professors = 4 + 6 = 10 (from bar graph).
If 10 = 2% of the university total,
then total = 10 ÷ 0.02 = 500.