Quiz 2

Question 1

Time: 00:00:00

The birth and death rates of a particular city are given below. Study the chart carefully and answer the given questions.

Line Graphs in CAT Data Interpretation Section

Question 1:
Calculate the average number of births in the city between 2001 to 2005.

3.2 billion

9.09%

2.8 billion

7.27%

4.4 billion

72.73%

4 billion

10.91%

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Solution:
From the graph, calculate the values of total births between 2001 to 2005. Then find the average of them.
So, average births = (3.5 + 4 + 5 + 3 + 6.5)/ 5 = 4.4.
Therefore, the average births between 2001 to 2005 is 4.4 million (since units are in millions).

Question 2

Time: 00:00:00

Question 2:
By what percent (approx.) did the number of births increased in 2005 from the previous year?

180

5.66%

150

18.87%

117

60.38%

15.09%

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Solution:
At first, the increase in births has to be calculated.
So, Increase in deaths in 2005 from 2004 = 6.5 – 3 = 3.5 million.
Now, percentage increase = (3.5 / 3) × 100 = 116.66 %.
As the closest option is 117 %

Question 3

Time: 00:00:00

Question 3:
Calculate the difference between the number of deaths and the number of births over the years.

5 billion

62.75%

6 billion

19.61%

1 billion

9.80%

3 billion

7.84%

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Solution:
First, the total deaths and births over the years have to be calculated.
So, total deaths over the years = 27 and,
Total births over the years = 22
Now, the difference will be = 27 – 22 = 5.

Question 4

Time: 00:00:00

Question 4:
In which year the percentage increase in birth rate over the previous year was the maximum?

2001

8.16%

2003

20.41%

2004

6.12%

2005

65.31%

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To calculate percentage increase in every year, one can use the following formula:
For a certain year, percentage increase or decrease = (difference of values from previous year/ value in that year) × 100.
So, for 2002, percentage increase in = (4 – 3.5) × 100 = 50 %.
Similarly, for 2003, percentage increase = 100 %.
For, 2004, percentage increase = 200 % (decrease).
And for 2005, percentage increase is = 350 %.
It can be seen that the percentage increase was highest in 2005

Question 5

Time: 00:00:00

What was the total revenues in 2011?

640

15.91%

725

45.45%

760

18.18%

680

20.45%

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Explanation :

Calculating the current year revenue with previous year revenue and the growth rate!

We know 2010 revenues by division and 2011 growth rates by division. We just need to put these two together.

2011 revenues were Rs. 725 Crores.

Question 6

Time: 00:00:00

The following graphs give the revenues and growth rates of 4 divisions of Garbage Inc, an interesting company that specializes in waste management:

In the year 2013, what was the share of revenues of the division Pharma?

27 %

18.42%

21 %

31.58%

22 %

36.84%

23 %

13.16%

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Once again, we can compute 2013 numbers using actual 2012 numbers and 2013 growth rates by division.

Share of Pharma is 22%.

The question is \"In the year 2013, what was the share of revenues of the division Pharma?\"

Hence, the answer is \"22%\".

Question 7

Time: 00:00:00

The following graphs give the revenues and growth rates of 4 divisions of Garbage Inc, an interesting company that specializes in waste management:

Which year saw the highest percentage growth in revenues overall?

2002

15.00%

2003

7.50%

2009

70.00%

2008

7.50%

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For this we need to fill in the grid completely and then find overall revenues. Thankfully, we have already computed for 2 different years. (For previous questions). We need to compute only for 2009 and 2015.

With this, we can complete the overall grid. The overall grid should make the last question also simpler.

The maximum year on year growth rate was seen in 2009.

We could have obtained this by scanning at the growth rate graph as well. The Pharma number is off the charts and all 4 growth rates are positive. The 21% growth rate in Technology is also pretty high. So, here was an easy question that we have gone about in a roundabout fashion.

2009 is the correct answer.

Question 8

Time: 00:00:00

The following graphs give the revenues and growth rates of 4 divisions of Garbage Inc, an interesting company that specializes in waste management:

The profit margins by division in the years 2014 and 2015 are given in the table below. Find the yoy percentage growth in profits in 2015.

-3%

41.67%

-6%

11.11%

-5%

30.56%

-2%

16.67%

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2014 and 2015 profits by division are as follows

Profits have gone from Rs. 110.1 Crores in 2014 to Rs. 106.8 Crores in 2015, a decline of 3%.

Question 9

Time: 00:00:00

This type of graph indicates the variation of a quantity with respect to two parameters represented on x -axis and y -axis respectively. So the candidate must carefully observe the peaks and depths of the graph to interpret the data

Ex. Study the graph carefully and answer the question given below

Which year of the following did California have the least number of cases?

1960

35.14%

1975

10.81%

1970

13.51%

1977

40.54%

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Explanation : As seen in the graph i.e solution is 1975.

Question 10

Time: 00:00:00

Study the graph carefully and answer the question given below

How many cases were registered in NY and CAL in 1950?

245

40.54%

232

29.73%

275

18.92%

220

10.81%

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Explanation : 150+125=275

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