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To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the 1616 states. The figure given below shows the actual rainfall (measured in mm) during JuneAugust, 20192019 and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure.

Figure for CAT 2019 DILR question 24 (Data Interpretation)

The LPA of a state for a year is defined as the average rainfall in the preceding 1010 years considering the period of June-August. For example, LPA in 20182018 is the average rainfall during 2009-2018 and LPA in 20192019 is the average rainfall during 2010-2019. It is also observed that the actual rainfall in Gujarat in 20192019 is 20% more than the rainfall in 2009. The LPA of Gujarat in 20192019 is closest to

Solution

✅ Correct Option: 1
Slide 1/2

Understanding the set :-

This graph shows how much rainfall 16 Indian states received between June and August 2019, and whether that amount was more or less than usual.

Since, it's a DI question ,the most important part of the set will be to get a clear understanding of the graph.

  1. So, Let's see what the chart shows -

a) The horizontal axis (bottom line) tells us how much rain (in millimeters) each state received during those three months.

b) The vertical axis (side line) shows how much more or less rain they got compared to their average rainfall, called the Long Period Average (LPA).

  1. If a state is:

a) Above the 0% line: it got more rain than usual.

b) Below the 0% line: it got less rain than usual.

Each dot is a state, and next to it, the actual rainfall amount (in mm) is written.

Now , let's go to the questions and solve them.

The actual rainfall in Gujarat in 2019 is 20% more than the rainfall in 2009.

So If the actual rainfall in 2009 = x mm

Then the actual rainfall in 2019= 1.2x mm.

Actual rainfall in 2019= 600mm

Then, actual rainfall in 2009 = 500mm

As deviation is +25%

so average 2009 - 2018 is 600/1.25=480600/1.25 = 480 LPA 2019

= (480×10−500+600)/10=490mm.(480×10 - 500 + 600 )/10 = 490mm.

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