Data Interpretation Questions and Answers

Answer: B

Correct answer: 7:6

The IT department is 22% of the workforce and holds 990 people, so the total is \(\tfrac{990}{0.22} = 4500\).

Females in Production. The department is 28% of 4500, or 1260, split 11:7 over 18 parts of 70:

\[\frac{7}{18} \times 1260 = 490\]

Males in Marketing. The department is 20% of 4500, or 900, split 7:8 over 15 parts of 60:

\[\frac{7}{15} \times 900 = 420\]

\[490 : 420 = 49 : 42 = 7 : 6\]

Answer: A

From the first question under this direction, we found the total number of employees to be 4500.

The pie chart shows that 12% of employees are in the HR department.

Number of HR employees = 12% of 4500 = 0.12 * 4500 = 540.

Answer: C

We need to calculate the rural population for each state and then add them.

State A: Total Population = 20 million. Rural Population % = 60%.
Rural Population = 60% of 20 million = 0.60 * 20 = 12 million.

State C: Total Population = 30 million. Rural Population % = 45%.
Rural Population = 45% of 30 million = 0.45 * 30 = 13.5 million.

Total Rural Population (A + C) = 12 + 13.5 = 25.5 million.

Answer: B

First, find the urban population of State D.

Rural population % for State D = 55%. Therefore, Urban population % = 100% - 55% = 45%.

Total population of State D = 25 million.

Urban Population of D = 45% of 25 million = 0.45 * 25 = 11.25 million.

Total population of State B = 25 million.

Required Percentage = \(\frac{\text{Urban Pop. D}}{\text{Total Pop. B}} \times 100 = \frac{11.25}{25} \times 100 = 0.45 \times 100 = 45\)%.

Answer: A

First, calculate the required populations.

Urban Population of State E:
Rural % = 40%, so Urban % = 60%.
Total Population = 20 million.
Urban Population = 60% of 20 million = 12 million.

Rural Population of State A:
Rural % = 60%.
Total Population = 20 million.
Rural Population = 60% of 20 million = 12 million.

The ratio is 12 million : 12 million, which simplifies to 1:1.

Answer: C

The caselet states the total directly: the college has 2000 students, made up of 900 in Science, 350 in Commerce and the remaining 750 in Arts.

\[ 900 + 350 + 750 = 2000 \]

Answer: B

Correct answer: 27:23

Take the streams one at a time. Arts has \(2000 - 900 - 350 = 750\) students.

Science (900). 30% are girls, so girls \(= 270\) and boys \(= 630\).

Commerce (350). The ratio 3:4 makes 7 parts of 50, so boys \(= 150\) and girls \(= 200\).

Arts (750). 40% are boys, so boys \(= 300\) and girls \(= 450\).

\[\text{Boys} = 630 + 150 + 300 = 1080, \qquad \text{Girls} = 270 + 200 + 450 = 920\]

\[1080 : 920 = 27 : 23\]

The two totals add to 2000, which is the check that no stream has been missed.

Answer: A

First, we need to find the specific numbers from the caselet data.

Number of girls in Science = 30% of 900 = 0.30 * 900 = 270.

Number of boys in Arts = 60% of 750 = 0.60 * 750 = 450.

Required Percentage = \(\frac{\text{Girls in Science}}{\text{Boys in Arts}} \times 100\)

= \(\frac{270}{450} \times 100 = \frac{3}{5} \times 100 = 60\)%.

Answer: B

Add the three segments of the 2018 bar.

\[ \text{wheat } 60 + \text{rice } 50 + \text{maize } 50 = 160 \text{ lakh tonnes} \]

Answer: C

Production of Wheat in 2016 = 40 lakh tonnes.

Production of Rice in 2020 = 50 lakh tonnes.

Required Percentage = \(\frac{\text{Wheat 2016}}{\text{Rice 2020}} \times 100\)

= \(\frac{40}{50} \times 100 = 80\)%.