Understanding Pie Chart Questions and Concepts for CAT Preparation

Understanding Pie Chart

Data Interpretation holds an inescapable spot in this day and age. Everything rotates around the data. It's in effect ceaselessly gathered, structured and afterward significant ends are drawn from it after cautious examination and investigation. Subsequently, data is significant however it's pointless without its exact interpretation and that is the reason Data interpretation is incorporated as a part in different serious tests particularly MBA placement tests, for example, CAT, XAT, IIFT, SNAP and so forth. In these tests, data will be spoken to in different configurations, for example, diagrams, graphs, tables and so on alongside 3-4 inquiries that will be founded on the structured data. To exceed expectations in this segment, you not just need information on different types of data portrayal techniques and organizations like diagrams and outlines yet additionally fundamental number-crunching recipes and ideas of rates, proportions and so on. This article is carefully focused on one explicit type of data portrayal design that have been asked in tests known as Pie Charts.

Pie Charts are the round method of data portrayal. In these charts, a circle is separated into different sections and each single fragment signify a class from the given data. In a pie diagram, the circular segment length of each cut (and therefore its focal point and zone), is relative to the amount it speaks to. Pie charts use rate or edges to show relative sizes of different classifications. Pie charts can be utilized in following manners.

  • They are a visual method of showing data that may somehow or another be given in a little table.
  • Pie charts are valuable for showing data that are ordered into ostensible or ordinal classes. Ostensible data are classified by spellbinding or subjective data, for example, area of birth or kind of pet claimed. Ordinal data are comparable however the various classifications can likewise be positioned, for instance in an overview people might be approached to state whether they classed something as extremely poor, poor, reasonable, great, generally excellent.
  • They are commonly used to show rate or relative data and typically the rate spoke to by every classification is given close to the comparing cut of pie.
  • They are useful for showing data for around 6 classes or less. When there are more classes it is hard for the eye to recognize the overall sizes of the various divisions thus the outline gets hard to decipher.

There are different sorts of pie diagrams to be specific, 3D pie outline, donut graph, detonated pie graph, ring diagram and so forth. However, in the test, we will ordinarily be given the essential pie diagram which is given underneath.


How about we currently illuminate two or three inquiries to see how to utilize data given in type of pie diagrams. First comprehend one more point before tackling questions.

A hover is of 360o and this 360o speak to the all out estimation of the data that diagram speaks to. Thus, whenever how about we accept the all out deal is of 10,000 then 3600 speak to 10000. Also, each fragment in the pie outline either given in type of a point or rate speak to a segment of all out worth. Thus, to rapidly comprehend the inquiries you have to know a couple of things for example the estimation of each section in real structure and the complete entirety of the apparent multitude of qualities. Additionally, you have to know the change among degrees and rates. I will tell you the equation later when required in any inquiry however it's simple and you can do it without anyone's help also.

Example 1: The following pie chart shows the amount of subscription generated for Indian Bonds from different categories of Investors.


Question 1: If the investment by NRI’s are INR 4,000 crore, then investment by both corporate houses and FII’s together is: 

 a.) 24000 crores 

 b.) 24363 crores 

 c.) 25423.4 crores 

 d.) 25643.3 crores

Question 2: What percentage of total investment is coming from either FII’s or NRI’s?

a.) 33%

b.) 44%

c.) 11%

d.) 22%

Question 3: If the total investment other than by FII and corporate houses is INR 335,000 crore, then the investment by NRI’s and offshore funds will be (approximately):

a.) 274,100

b.) 285,600

c.) 293,000

d.) Cannot be determined

Question 4: What is approximate ratio of investment flows into India Bonds from NRI’s to corporate houses?

a.) 1:4

b.) 1:3

c.) 3:1

d.) Cannot be determined

Question 5: In corporate sector, approximately how many degrees should be there in the central angle?

a.) 120

b.) 121

c.) 122

d.) 123

Question 6: If the total investment flows from FII were to be doubled in the next year and the investment flows from all other sources had remained constant at their existing levels for this year, then what would be the proportion of FII investment in the total investment flows into Indian Bonds in the next year (approximately)?

a.) 40%

b.) 50%

c.) 60%

d.) 70%

Question 7: If the flow from the FII’s after the doubling (of previous question) were to the tune of US$ 500 million, what would be the total investment into Indian Bond in US $’s?

a.) 1000

b.) 1500

c.) 800

d.) Cannot be determined

Solution:

Ans 1: If the investment by NRI is worth 4000 crores which is 11% of total value.

Then, the total value will be = 4000 * 100/11= 36363.63

Now, investment by corporate houses and FII’s together will be 67% of 36363.63 i.e. 24,363.63 crore.

Ans 2: This is a very direct question and the answer is 44%

Ans 3: This question will be solved in similar manner like the question 1. The investment other than by FII’s and corporate house is total is-s 33% amounted to 335,000 crores.

Then total investment by everyone will be 335,000 * 100/33

 = 1015151.5151

And NRI’s and offshore funds constitute 27% of total investment. Hence, 0.27 of 1015151.5151 i.e. 274,090.90.

Ans 4: Again, this one is simple one. The investment by NRI’s is 11% and corporate house is 34%. Therefore, the ratio will be 11:34 i.e. approximately 1:3.

Ans -5: To solve the question you need to learn how to convert percentage into degrees and it’s pretty simple. You just need to multiply the percentage with 360o i.e. 11/100 * 360o = 39.6o.Now in this question, we need to find the central angle of corporate house i.e. 0.34 of 360o i.e. 122.4o.

Ans 6: The current FII’s are 33% and it will double next year making it 66%. Thus, keeping other investment constant now the total becomes 133.Hence, 66 % of 133 will be 49.62% i.e. 50%.

Ans 7: 500 million is 50% of the total investment as we found in the previous question. Thus, total investment will be 500 * 100/50 i.e. 1000 million dollars.

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