Test Level 3: Pie Chart - CAT MCQ

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.

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  MW (in thousands)
Total power distributed to Punjab  MW (in thousands)
Total power distributed to Orissa  MW (in thousands)
Total power distributed to Kerala  MW (in thousands)
Among the four states, the maximum MW of power is distributed to Kerala.

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% 
Therefore, x = 76.5%

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.




Then, power distributed to Orissa 


Thus, power distributed to Orissa = 88,000 MW

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

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

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

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

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.

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