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Test Level 3: Pie Chart - CAT MCQ


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10 Questions MCQ Test Level-wise Tests for CAT - Test Level 3: Pie Chart

Test Level 3: Pie Chart for CAT 2024 is part of Level-wise Tests for CAT preparation. The Test Level 3: Pie Chart questions and answers have been prepared according to the CAT exam syllabus.The Test Level 3: Pie Chart MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 3: Pie Chart below.
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Test Level 3: Pie Chart - Question 1
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Directions: The following pie chart depicts the percentage breakup of power distribution to four states by various electric power companies of India in the year 2017.

The second layer of the pie chart depicts the megawatt distribution (in thousands) by the given four power companies. It is also known that these companies distribute power only to the state mentioned and the power distributed to any state by a company is an integral multiple of 1000. These 4 states are mentioned in the outermost layer of the pie chart and get power from those 4 companies only.

What is the least megawatt that could be distributed by NTPC to Kerala?

Detailed Solution for Test Level 3: Pie Chart - Question 1

From the given pie chart, we can depict the following information.

Let the power distributed by Reliance to Rajasthan be p, Adani to Punjab be q, Tata to Orissa be r and NTPC to Kerala be s.

Total power distributed = t
From pie chart, total power distributed by NTPC = 50% of t
47 + s = 0.5t
s = 0.5t - 47
Also, r = 0.2t - 71, q = 0.2t - 71 and p = 0.1t - 42

The power generated cannot be negative, thus limiting conditions by equating to 0.
Therefore,
0.1t = 42
t = 420 (minimum value for which p will be positive)
0.2t = 71
t = 355 (minimum value for which q and r will be positive)
0.5t = 47
t = 94 (minimum value for which s will be positive)
Therefore, the least value of t will be 420.
Thus, the least megawatt that NTPC could have distributed to Kerala = 0.5t - 47 = 0.5 × 420 - 47 = 210 - 47 = 163
Therefore, the least megawatt that NTPC could have distributed to Kerala is 163 thousand, i.e. 1,63,000 MW.

Test Level 3: Pie Chart - Question 2
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Directions: The following pie chart depicts the percentage breakup of power distribution to four states by various electric power companies of India in the year 2017.

The second layer of the pie chart depicts the megawatt distribution (in thousands) by the given four power companies. It is also known that these companies distribute power only to the state mentioned and the power distributed to any state by a company is an integral multiple of 1000. These 4 states are mentioned in the outermost layer of the pie chart and get power from those 4 companies only.

The state(s) to which maximum megawatts of power is distributed, if the total power distributed by all companies is 500 megawatt (in thousands), is/are

Detailed Solution for Test Level 3: Pie Chart - Question 2

From the given pie chart, we can depict the following information.

Let the power distributed by Reliance to Rajasthan be p, Adani to Punjab be q, Tata to Orissa be r and NTPC to Kerala be s.

Total power distributed = t
From pie chart, total power distributed by NTPC = 50% of t
47 + s = 0.5t
s = 0.5t - 47
Also, r = 0.2t - 71, q = 0.2t - 71 and p = 0.1t - 42

Total power distributed by all companies is 500 i.e. t = 500 MW (in thousands)
From the given information, total power distributed to Rajasthan $%3D%200.1t%20%3D%200.1%5Ctimes%20500%3D50$ MW (in thousands)
Total power distributed to Punjab $%3D%200.2t%20-%2035%20%3D%20%280.2%20%5Ctimes%20500%29-35%3D100-35%3D65$ MW (in thousands)
Total power distributed to Orissa $%3D%200.2t%20-%2018%20%3D%20%280.2%20%5Ctimes%20500%29-18%3D100-18%3D82$ MW (in thousands)
Total power distributed to Kerala $%3D%200.5t%20+%2053%20%3D%20%280.5%20%5Ctimes%20500%29+53%3D250+53%3D303$ MW (in thousands)
Among the four states, the maximum MW of power is distributed to Kerala.

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Test Level 3: Pie Chart - Question 3
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Directions: The following pie chart depicts the percentage breakup of power distribution to four states by various electric power companies of India in the year 2017.

The second layer of the pie chart depicts the megawatt distribution (in thousands) by the given four power companies. It is also known that these companies distribute power only to the state mentioned and the power distributed to any state by a company is an integral multiple of 1000. These 4 states are mentioned in the outermost layer of the pie chart and get power from those 4 companies only.

What percentage of total power distributed by Tata to Rajasthan is the total power distributed by Reliance to Punjab?

Detailed Solution for Test Level 3: Pie Chart - Question 3

From the given pie chart, we can depict the following information.

Let the power distributed by Reliance to Rajasthan be p, Adani to Punjab be q, Tata to Orissa be r and NTPC to Kerala be s.

Total power distributed = t
From pie chart, total power distributed by NTPC = 50% of t
47 + s = 0.5t
s = 0.5t - 47
Also, r = 0.2t - 71, q = 0.2t - 71 and p = 0.1t - 42

Total power distributed by Tata to Rajasthan = 17,000 MW
Total power distributed by Reliance to Punjab = 13,000 MW
x% of 17,000 = 13,000
x% $%3D%5Cfrac%20%7B13%2C000%7D%7B17%2C000%7D%3D0.765$
Therefore, x = 76.5%

Test Level 3: Pie Chart - Question 4
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Directions: The following pie chart depicts the percentage breakup of power distribution to four states by various electric power companies of India in the year 2017.

The second layer of the pie chart depicts the megawatt distribution (in thousands) by the given four power companies. It is also known that these companies distribute power only to the state mentioned and the power distributed to any state by a company is an integral multiple of 1000. These 4 states are mentioned in the outermost layer of the pie chart and get power from those 4 companies only.

If the power distributed to Kerala is six times the power distributed to Rajasthan, then the power distributed to Orissa will be
Detailed Solution for Test Level 3: Pie Chart - Question 4

From the given pie chart, we can depict the following information.

Let the power distributed by Reliance to Rajasthan be p, Adani to Punjab be q, Tata to Orissa be r and NTPC to Kerala be s.

Total power distributed = t
From pie chart, total power distributed by NTPC = 50% of t
47 + s = 0.5t
s = 0.5t - 47
Also, r = 0.2t - 71, q = 0.2t - 71 and p = 0.1t - 42

Total power distributed to Kerala = 0.5t + 53
Total power distributed to Rajasthan = 0.1t
Given, the power distributed to Kerala is six times the power distributed to Rajasthan.
$%5CRightarrow%200.5t+53%3D6%5Ctimes0.1t$
$0.5t+53%3D0.6t$
$0.1t%3D53$
$%5Ctherefore%20t%3D530$
Then, power distributed to Orissa $%3D%200.2t-18$
$%3D%200.2%5Ctimes530-18$
$%3D106-18%3D88$
Thus, power distributed to Orissa = 88,000 MW

Test Level 3: Pie Chart - Question 5
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Directions: Study the following information and answer the question.
The pie-charts below represent migration of people from/to India to/from different countries.





The total number of people migrated from India is 72 million, which is exactly twice that of people migrated to India.

How many people migrated from Andhra Pradesh to Canada?
Detailed Solution for Test Level 3: Pie Chart - Question 5

The number of people migrated from India is 72 million and the number of people migrated to India is 36 million.
The sector representing the people migrated from Andhra is 50°, i.e. 10 million out of 72 million.
In this 10 million, people migrated to Canada are 10%.
So, answer = 1 million

Test Level 3: Pie Chart - Question 6
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Directions: Study the following information and answer the question.
The pie-charts below represent migration of people from/to India to/from different countries.





The total number of people migrated from India is 72 million, which is exactly twice that of people migrated to India.

What is the difference between the number of people migrated from Tamil Nadu to U.S.A. and the number of the people migrated to Karnataka from the U.K?
Detailed Solution for Test Level 3: Pie Chart - Question 6

Number of people migrated from Tamil Nadu to U.S.A. = 16.66% of (60°/360°) of 72 million = 2 million
Total number of people migrated to Karnataka = 16x
Number of people migrated to Karnataka from the U.K. = 4x = 25% of (Total number of people migrated to Karnataka)
Total migrated people of Karnataka = 100/360 of (total people of Karnataka)
Number of people migrated to Karnataka from the U.K. = 25% of (100°/360°) of 36 million = 2.5 million
So, difference = 2.5 - 2 = 0.5 million

Test Level 3: Pie Chart - Question 7
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Directions: Study the following information and answer the question.
The pie-charts below represent migration of people from/to India to/from different countries.





The total number of people migrated from India is 72 million, which is exactly twice that of people migrated to India.

From which of the following states did the highest number of people migrate to the U.K?
Detailed Solution for Test Level 3: Pie Chart - Question 7

Number of people migrated from Andhra to the U.K. = 30% of (50°/360°) of 72 = 3 million
Number of people migrated from Tamil Nadu to the U.K. = 16.68% of (60°/360°) of 72 = 2 million
Number of people migrated from Punjab to the U.K. = 12.5% of (100°/360°) of 72 = (1/8) × 20 = 2.5 million
Number of people migrated from Maharashtra to the U.K. = (75°/360°) of (60°/360°) of 72 = (75/360) × 12 = 2.5 million

Test Level 3: Pie Chart - Question 8
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Directions: Study the following information and answer the question.
The pie-charts below represent migration of people from/to India to/from different countries.





The total number of people migrated from India is 72 million, which is exactly twice that of people migrated to India.

What is the difference between the number of people migrated from Punjab to Canada and the number of people migrated from Maharashtra to Canada?
Detailed Solution for Test Level 3: Pie Chart - Question 8

Number of people migrated from Punjab to Canada = 25% of (100°/360°) of 72 million = 5 million
Number of people migrated from Maharashtra to Canada = (90°/360°) of (60°/360°) of 72 million = 3 million
Difference = 2 million

Test Level 3: Pie Chart - Question 9
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Directions: Answer the question on the basis of the information given below.
The multilayered pie-chart below shows the criminal records of different jails in England Criminal Justice System. 
The innermost layer of pie-chart shows the types of jails of England Criminal Justice System, the middle layer shows the further major classification of the criminals and the outermost layer shows the selective category of the criminal.

The number of criminals who fall under the category of technical violations and are young is what percentage of the number of criminals who fall under the category of immigration detention?
Detailed Solution for Test Level 3: Pie Chart - Question 9

The number of criminals who are young and fall under the category of technical violations = 8,600
The number of criminals who are fall under the category of immigration detention = 34,000
According to the question,
Required percentage = 
Thus, option 4 is the correct answer.

Test Level 3: Pie Chart - Question 10
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Directions: Answer the question on the basis of the information given below.
The multilayered pie-chart below shows the criminal records of different jails in England Criminal Justice System. 
The innermost layer of pie-chart shows the types of jails of England Criminal Justice System, the middle layer shows the further major classification of the criminals and the outermost layer shows the selective category of the criminal.

Find the total number of convicted criminals who are held in Local Jails and Federal Prisons & Jails due to drug and violence.
Detailed Solution for Test Level 3: Pie Chart - Question 10

For Local Jails: 
The criminals who are under violence category = 32,000
The criminals who are under drug category = 35,000 
Thus, total number of criminals = 32,000 + 35,000 = 67,000 
For Federal Prisons & Jails: 
The criminals who are under violence category = 13,000
The criminal who are under drug category = 82,000 
Thus, total number of criminals = 13,000 + 82,000 = 95,000 
So, the total number of convicted criminals who are held in Local Jails and Federal Prisons & Jails due to drug and violence = 67,000 + 95,000 = 1,62,000

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