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Data Interpretation Questions and Answers

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Direction for [ Question No: 31 To 31 ] :

A bar graph shows the production of rice (in million tonnes) in a country for 5 consecutive years. Study the chart and answer the questions that follow.

31.

The production in 2017 was approximately what percent of the average production over the given years?

Answer: B

First, find the average production.

Total production = 120 + 127 + 125 + 140 + 145 = 657 million tonnes.

Average production = 657 / 5 = 131.4 million tonnes.

Production in 2017 = 127 million tonnes.

Required percentage = \(\frac{127}{131.4} \times 100 \approx 96.65\)%, which is approximately 96%.

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Direction for [ Question No: 32 To 33 ] :

A bar graph shows the production of rice (in million tonnes) in a country for 5 consecutive years. Study the chart and answer the questions that follow.

32.

What is the percentage increase in production from 2018 to 2019?

Answer: B

Read the two bars: 125 million tonnes in 2018 and 140 in 2019.

\[ \frac{140 - 125}{125} \times 100 = \frac{15}{125} \times 100 = 12\% \]

The increase is measured against the earlier year, which is the base.

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33.

The production in 2017 was approximately what percent of the average production over the given years?

Answer: B

Correct answer: 98%

First find the average over the five years.

\[120 + 130 + 125 + 140 + 145 = 660 \text{ million tonnes}\]

\[\text{Average} = \frac{660}{5} = 132\]

The 2017 figure is 130, so as a percentage of the average:

\[\frac{130}{132} \times 100 = 98.48\% \approx 98\%\]

2017 sits marginally below the five-year average, which is why the answer is just under 100%.

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Direction for [ Question No: 34 To 35 ] :

The following line graph shows the population of a town (in thousands) in different years. Study the graph and answer the questions that follow.

34.

What was the average population of the town over all the years?

Answer: A

To find the average, we sum the populations and divide by the number of years.

Total population = 50 + 55 + 62 + 70 + 75 + 82 = 394 thousand.

Number of years = 6.

Average = \(\frac{394}{6} = 65.666...\) thousand, which is approximately 65,667.

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35.

The population in 2016 was what percentage of the population in 2020?

Answer: B

Read the two years off the graph: 55 thousand in 2016 and 82 thousand in 2020.

\[ \frac{55}{82} \times 100 = 67.07\% \]

The base is the 2020 figure, since the question asks what 2016 was of 2020.

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Direction for [ Question No: 36 To 38 ] :

The table below shows the percentage distribution of 1400 students who passed in an exam from five different cities.

City% of Passed Students
A12%
B18%
C25%
D20%
E25%

37.

The number of students passed from city B is what percentage of the number of students passed from city D?

Answer: C

Since the total number of students is the same for all calculations, we can work directly with the percentages.

Percentage from city B = 18%.

Percentage from city D = 20%.

Required percentage = \(\frac{18}{20} \times 100 = 90\)%.

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38.

What is the difference between the number of students passed from cities C and E combined, and the number of students passed from cities A and B combined?

Answer: B

Percentage for C and E = 25% + 25% = 50%.

Percentage for A and B = 12% + 18% = 30%.

The difference in percentage = 50% - 30% = 20%.

The difference in number of students = 20% of 1400 = 0.20 * 1400 = 280.

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Direction for [ Question No: 39 To 40 ] :

The line graph shows the profit percentage of two companies, X and Y, over the years. Profit % = [(Income - Expenditure) / Expenditure] * 100. Study the graph and answer the questions that follow.

39.

If the income of Company Y in 2018 was Rs. 600 crores, what was its expenditure in that year?

Answer: B

Profit % = \(\frac{\text{Income} - \text{Expenditure}}{\text{Expenditure}} \times 100\).

Let E be the expenditure.

In 2018, the profit percentage for Company Y was 40%.

40 = \(\frac{600 - E}{E} \times 100\)

0.40 = \(\frac{600}{E} - 1\)

1.40 = \(\frac{600}{E}\)

E = \(\frac{600}{1.4} = \frac{6000}{14} \approx 428.57\) crores.

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40.

If the expenditure of Company X in 2017 and Company Y in 2017 were equal, what was the ratio of their incomes in 2017?

Answer: A

Let the equal expenditure for both companies in 2017 be E.

Income = Expenditure × (1 + \(\frac{\text{Profit %}}{100}\)).

For Company X in 2017, Profit = 45%. Income_X = E × (1 + 0.45) = 1.45E.

For Company Y in 2017, Profit = 50%. Income_Y = E × (1 + 0.50) = 1.50E.

Ratio of Incomes (X:Y) = 1.45E : 1.50E = 1.45 : 1.50 = 145 : 150.

Dividing by 5 gives the ratio 29 : 30.

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