Data Interpretation Questions and Answers

Answer: B

Original number of football students = 25% of 1200 = 300.

A 20% increase means the new number is 300 * 1.20 = 360.

The new percentage of students playing football = \(\frac{360}{1200} \times 100 = 30\)%.

The new central angle = 30% of 360° = 0.30 * 360 = 108°.

Answer: D

Number of students in Arts in University A = 20,000.

Number of students in Commerce in University B = 30,000.

The required ratio is 20,000 : 30,000.

Simplifying by dividing by 10,000 gives the ratio 2 : 3.

Answer: C

Number of students in Engineering in University A = 35,000.

Number of students in Commerce in University A = 25,000.

Increase = 35,000 - 25,000 = 10,000.

Percentage increase = \(\frac{\text{Increase}}{\text{Original Value}} \times 100 = \frac{10000}{25000} \times 100 = \frac{1}{2.5} \times 100 = 40\)%.

Answer: B

Add each university's four disciplines.

\[ A: 20 + 30 + 25 + 35 = 110 \text{ thousand} \]

\[ B: 25 + 35 + 30 + 30 = 120 \text{ thousand} \]

\[ 120 - 110 = 10 \text{ thousand} = 10{,}000 \]

Answer: C

This is a cumulative calculation.

End of 2015: 500 employees.

Start of 2016: 500 employees. End of 2016 = 500 + 100 - 50 = 550 employees.

Start of 2017: 550 employees. End of 2017 = 550 + 150 - 80 = 700 - 80 = 620 employees.

The number of employees at the end of 2017 was 620.

Answer: C

We need to find the number of employees at the end of 2018.

Start of 2015 = 500.

End of 2017 = 620 (from previous question).

Start of 2018 = 620. End of 2018 = 620 + 200 - 100 = 720.

Initial number = 500. Final number = 720.

Increase = 720 - 500 = 220.

Percentage change = \(\frac{220}{500} \times 100 = 220 / 5 = 44\)%.

Answer: D

Exports are more than imports when the amount of imports is less than the amount of exports. This means the ratio of Imports to Exports must be less than 1.

We need to count the years where the ratio value is less than 1.

The years with a ratio less than 1 are:

• 2014 (0.65)
• 2015 (0.85)
• 2016 (0.35)
• 2019 (0.95)

There are 4 such years.

Answer: C

In 2016, the ratio of Imports to Exports was 0.35.

Let I be Imports and E be Exports.

\(\frac{I}{E} = 0.35\)

Given I = Rs. 280 crores.

\(\frac{280}{E} = 0.35\)

E = \(\frac{280}{0.35} = \frac{28000}{35} = 800\).

The exports were Rs. 800 crores.

Answer: C

Imports being minimum proportionate to exports means the ratio of Imports to Exports is minimum.

We just need to find the year with the lowest ratio value on the graph.

The values are: 2014: 0.65, 2015: 0.85, 2016: 0.35, 2017: 1.25, etc.

The minimum value is 0.35, which occurred in the year 2016.

Answer: C

Let the total cost be T.

The printing cost is 20% of the total cost. So, 0.20 × T = Rs. 30,600.

T = 30600 / 0.20 = Rs. 153,000.

The royalty is 15% of the total cost.

Amount of royalty = 15% of 153,000 = 0.15 × 153,000 = Rs. 22,950.