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CAT Exam  >  CAT Notes  >  Logical Reasoning (LR) and Data Interpretation (DI)  >  12 Minute Test: Pie Charts

12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT PDF Download

The CAT exam demands quick thinking and efficient time management, especially in the Data Interpretation and Logical Reasoning (DILR) section, where interpreting charts under time pressure is crucial.  By practising with this focused test, you’ll build the skills needed to tackle similar questions on the actual exam, boosting your confidence and performance. 

Benchmarking Performance

This test has two sets of Pie Chart questions, each of which you should aim to solve in 12 minutes. 

  • If you solve within 12 minutes: You’re meeting the baseline for a top percentile. Now aim for 10-11 minutes/set to breach the 100-percentile barrier (3+ sets in 40 minutes).

  • If you exceed 12 minutes: Focus on identifying gaps (e.g., misinterpreting rules, slow calculations).

  • Only after thorough self-effort should you review solutions to pinpoint what you missed, ensuring maximum learning and preparation for the CAT’s demanding DI-LR section.

Good luck!

Set 1

Directions: The following pie chart depicts the percentage breakup of power distribution to four states by various electric power companies of India in a year.
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT
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.

Q1: What is the least megawatt that could be distributed by NTPC to Kerala?
A: 1,22,000
B: 1,44,000
C: 1,53,000
D: 1,63,000

12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATView Answer  12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT

Ans: Option D

From the given pie chart, we can depict the following information.
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATLet 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.12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATTotal 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
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATThe 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.

Q2: 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
A: Rajasthan
B: Kerala
C: Punjab and Orissa
D: Kerala and Orissa

12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATView Answer  12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT
Ans: Option B

From the given pie chart, we can depict the following information.
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATLet 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.12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATTotal power distributed = tFrom 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
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATTotal power distributed by all companies is 500 i.e. t = 500 MW (in thousands)From the given information, total power distributed to Rajasthan 12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT MW (in thousands)
Total power distributed to Punjab 12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT MW (in thousands)
Total power distributed to Orissa 12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT MW (in thousands)
Total power distributed to Kerala 12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT MW (in thousands)
Among the four states, the maximum MW of power is distributed to Kerala.

Q3: What percentage of the total power distributed by Tata to Rajasthan is the total power distributed by Reliance to Punjab?
A: 76.5%
B: 65.7%
C: 56.7%
D: 67.5%

12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATView Answer  12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT
Ans: Option A
From the given pie chart, we can depict the following information.
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATLet 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.12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATTotal power distributed = tFrom 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
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATTotal power distributed by Tata to Rajasthan = 17,000 MWTotal power distributed by Reliance to Punjab = 13,000 MW
x% of 17,000 = 13,000
x% 12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATTherefore, x = 76.5%

Q4: If the power distributed to Kerala is six times the power distributed to Rajasthan, then the power distributed to Orissa will be
A: 88,000 MW
B: 98,000 MW
C: 10,820 MW
D: 11, 250 MW

12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATView Answer  12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT

Ans: Option A

From the given pie chart, we can depict the following information.
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATLet 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.12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATTotal power distributed = tFrom 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
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATTotal power distributed to Kerala = 0.5t + 53Total power distributed to Rajasthan = 0.1t
Given, the power distributed to Kerala is six times the power distributed to Rajasthan.
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATThen, power distributed to Orissa 12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATThus, power distributed to Orissa = 88,000 MW


Set 2

Directions: The breakdown of the students in a university by subject major is given in the polar pie chart. The bar chart shows the number of students who major in physics by geographic location.

​12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT

Q1: How many students major in chemistry?
A. 200
B. 175
C. 170
D. 190
E. 180

12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATView Answer  12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT

Ans: Option B
Sum of known percentages:

18% + 16% + 14% + 12% + 10% = 70%

This means Engineering and Others together account for the remaining 30% (100% - 70%).
The question asks how many students major in Chemistry, with the options:
A. 200
B. 175
C. 170
D. 190
E. 180

Chemistry majors are 14% of the total number of students (T):
Number of Chemistry majors = 0.14 x T

We test each option to find T:

  • Option A: 200
    0.14 x T = 200
    T = 200 / 0.14 = 1428.57 (not a whole number)
  • Option B: 175
    0.14 x T = 175
    T = 175 / 0.14 = 1250 (whole number)
  • Option C: 170
    0.14 x T = 170
    T = 170 / 0.14 = 1214.29 (not a whole number)
  • Option D: 190
    0.14 x T = 190
    T = 190 / 0.14 = 1357.14 (not a whole number)
  • Option E: 180
    0.14 x T = 180
    T = 180 / 0.14 = 1285.71 (not a whole number)

Option B (175) yields a whole number total (T = 1250), making it the most likely answer. Let’s verify this using the bar chart.

Verify with the Bar Chart (Location of Physics Major)

Total number of Physics majors:
18 + 36 + 80 + 40 + 23 + 28 = 225

From the pie chart, Physics majors are 18% of the total number of students (T):
Number of Physics majors = 0.18 x T
Using T = 1250 (from Option B):
0.18 x 1250 = 225

The bar chart confirms that there are 225 Physics majors, which matches the calculation based on T = 1250. 
This consistency supports that our total number of students is correct.

Therefore, using T = 1250:

  • Chemistry (14%): 0.14 x 1250 = 175, which matches Option B.

Q2: If the proportion of physics majors who are from Delhi is the same as the proportion of engineering majors who are from Delhi, how many engineering majors are from Delhi?
A. 22
B. 26
C. 18
D. 20
E. 24

12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATView Answer  12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT

 Ans: Option D
Step 1: Total number of students in the university
From the pie chart, Physics majors = 18% of total students.
From the bar chart, number of Physics majors = 225.
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATSo, total number of students = 1250.Step 2: Number of Engineering majors
Engineering majors = 20% of 1250=20100×1250=250

So, total Engineering majors = 250.
Step 3: Proportion of Physics majors from Delhi
Physics majors from Delhi = 18 (from bar chart).
Total Physics majors = 225.
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT

So, 8% of Physics majors are from Delhi.

Step 4: Apply the same proportion to Engineering
Engineering majors = 250.
Delhi Engineering majors = 8% of 250
12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT= \frac{20}{100} \times 1250 = 250

Q3: 12% of all students are from Chennai. What is the largest possible percentage of economics students that can be from Chennai, rounded off to the nearest integer?
A. 73%
B. 77%
C. 75%
D. 71%
E. 69%

12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CATView Answer  12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT

Ans: Option A
Students from Chennai

12% of all students are from Chennai:
0.12 × 1250 = 150 students

Step 1: Calculate the Number of Economics Students

Economics students are 12% of the total:
0.12 × 1250 = 150 Economics students

Step 2: Determine the Largest Possible Number of Economics Students from Chennai

We need to find the maximum number of Economics students who can be from Chennai, given that there are 150 students from Chennai in total across all majors. To maximize the number of Economics students from Chennai, we minimize the number of students from Chennai in all other majors (Physics, Mathematics, Chemistry, History, Engineering, and Others).

Minimum Contribution from Other Majors

  • Physics: From the bar chart, 40 Physics students are from Chennai (out of 225 total Physics students). This number is fixed.
  • Mathematics: 16% of 1250 = 200 students. The minimum number from Chennai can be 0 (hypothetically, to maximize Economics).
  • Chemistry: 14% of 1250 = 175 students. Minimum from Chennai = 0.
  • History: 10% of 1250 = 125 students. Minimum from Chennai = 0.
  • Engineering and Others: 30% of 1250 = 375 students. Minimum from Chennai = 0.

Total students from Chennai (excluding Economics):

  • Physics: 40
  • Others (Mathematics, Chemistry, History, Engineering, Others): Minimum = 0

Minimum number of Chennai students in non-Economics majors = 40 (from Physics).
Total students from Chennai = 150.
Maximum number of Economics students from Chennai:
150 - 40 = 110

Step 3: Calculate the Percentage of Economics Students from Chennai

Total Economics students = 150.
Maximum Economics students from Chennai = 110.
Percentage of Economics students from Chennai:
(110 / 150) × 100 = 73.333…%

Step 4: Round to the Nearest Integer

73.333…% rounds to 73%.

Step 5: Verify Against Answer Choices

The options are:
A. 73%
B. 77%
C. 75%
D. 71%
E. 69%

Our calculated percentage (73%) matches option A. Let’s double-check by considering if we can increase the number further:

  • The total from Chennai is fixed at 150. If more than 40 students from other majors are from Chennai, the number of Economics students from Chennai decreases. For example, if 50 students from other majors are from Chennai, Economics students from Chennai would be 150 - 50 = 100, which is (100 / 150) × 100 = 66.67%, lower than 73.33%. Thus, 110 is indeed the maximum.

Final Answer

The largest possible percentage of Economics students from Chennai, rounded to the nearest integer, is 73%.

The document 12 Minute Test: Pie Charts | Logical Reasoning (LR) and Data Interpretation (DI) - CAT is a part of the CAT Course Logical Reasoning (LR) and Data Interpretation (DI).
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FAQs on 12 Minute Test: Pie Charts - Logical Reasoning (LR) and Data Interpretation (DI) - CAT

1. What is the duration of the Tables CAT exam?
Ans. The Tables CAT exam has a duration of 12 minutes.
2. How can I prepare for the Tables CAT exam?
Ans. To prepare for the Tables CAT exam, it is recommended to practice solving table-based questions, improve your speed and accuracy in calculations, and familiarize yourself with different types of tables and data representation.
3. Can I use a calculator during the Tables CAT exam?
Ans. No, the Tables CAT exam does not allow the use of calculators. It is designed to test your ability to quickly analyze and interpret data presented in tables without external aids.
4. Are there any specific strategies or tips to excel in the Tables CAT exam?
Ans. Yes, some strategies to excel in the Tables CAT exam include scanning the table and identifying key information, focusing on the given question and relevant columns, using shortcuts for calculations, and practicing time management to ensure you complete the exam within the given time frame.
5. How are the scores calculated in the Tables CAT exam?
Ans. The scores in the Tables CAT exam are typically calculated based on the number of correct answers. Each question carries equal weightage, and there is no negative marking for incorrect responses. It is important to answer as many questions as possible accurately to maximize your score.
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