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All questions of Pie Charts for OPSC OCS (Odisha) Exam

If the total investment from FII's is 33% and is doubled next year, what will their new percentage be?
  • a)
    40%.
  • b)
    50%.
  • c)
    66%.
  • d)
    70%.
Correct answer is option 'C'. Can you explain this answer?

Jay Sen answered
Understanding the Initial Investment
The initial investment from Foreign Institutional Investors (FIIs) is 33%. This percentage represents the portion of total investments made by FIIs in a given market or asset.
Doubling the Investment
If the investment from FIIs doubles next year, we need to calculate the new total investment.
- Current FII investment: 33%
- If this amount doubles, the new investment will be 33% x 2 = 66%.
Calculating the New Percentage
To determine the new percentage of FII investment in relation to the total investment:
1. Assume the total investment is 100 units.
2. Current FII investment: 33 units.
3. New FII investment after doubling: 66 units.
4. Total investment remains the same at 100 units.
Now, the new percentage of FII investment can be calculated as:
- New FII investment percentage = (New FII investment / Total investment) x 100
- New FII investment percentage = (66 / 100) x 100 = 66%.
Conclusion
Thus, after doubling their investment, FIIs will make up 66% of the total investment, making the correct answer option 'C'.

Total revenues are Rs. 1800 crores. Overall profit margin is 10%. The division with the largest revenue has the least profit margin but not the least profits. The division with the profit margin higher than all others generates the least profit. Exactly one division has the same profit margin as the overall Company. Company D generates more profits than Company E.
Q. How much profit did Company A make?
  • a)
    Rs. 60 crores
  • b)
    Rs. 50 crores
  • c)
    Rs. 25 crores
  • d)
    Rs. 30 crores
Correct answer is option 'D'. Can you explain this answer?

  • Total revenues are Rs. 1800 crores.
  • Overall profit margin is 10%
  • Overall profit is Rs. 180 crores.
  • Exactly one division has the same profit margin as the overall Company. So, for this division, share of revenues should be equal to share of profits. Or, one of Company A or D has a profit margin of 10%
  • Let us also compute absolute profit numbers the 5 numbers are Rs. 35 crores, Rs. 40 crores, Rs. 25 crores, Rs. 30 crores and Rs. 50 crores
  • The division with the largest revenue has the least profit margin but not the least profits: So, E has the least profit margin but not the least profits. Company D generates more profits than Company E, so Company E does not generate the least profit either
  • So, Company E should generate profits of Rs. 35 crores or Rs. 40 crores.
  • Now, this is the critical statement - "The division with the profit margin higher than all others generates the least profit? Company C has the least revenue, and by a distance. So, it is possible that division C should have the highest profit margin. The lowest profit margin for division C should be 16.67%, Now, if the Rs. 25 crore profit were for any other division, the profit margin of that division would be less than 16.67%. This tells us that the Rs. 25 crore profit is made by division C at a profit margin of 16.67%.
  • So this is where we stand now
  • The three missing profit numbers are Rs. 50 crores, Rs. 40 crores and Rs. 35 crores
  • Company E did not generate profit of Rs. 50 crores. So, the Rs. 50 crore profit number should have been seen by either B or D. If it had been D, then D would also have had a profit margin of 16,67%. But this is not possible as the question says - "The division with the profit margin higher than all others generates the least profit. The above statement tells us that no company apart from C had a profit margin of 16.67% or more. So, Company B should have seen a profit of Rs. 50 crores.
  • Company D generates more profit than E so E should have seen a profit of 35 crores and D a profit of Rs 40 crores 
  • Therefore, the Profit that Company A made is equal to 30 crores
 
 

What is the percentage of total investment from NRI’s if their investment is worth INR 4,000 crore and represents 11% of the total?
  • a)
    40%
  • b)
    11%
  • c)
    33%
  • d)
    44%
Correct answer is option 'B'. Can you explain this answer?

T.S Academy answered
The percentage of total investment from NRI’s is 11% as stated in the problem.
This means that the investment of INR 4,000 crore is directly representing 11% of the total value.

Total revenues are Rs. 1800 crores. Overall profit margin is 10%. The division with the largest revenue has the least profit margin but not the least profits. The division with the profit margin higher than all others generates the least profit. Exactly one division has the same profit margin as the overall Company. Company D generates more profits than Company E.
Q. What was the profit margin for company B?
  • a)
    8.33%
  • b)
    12.5%
  • c)
    11.11%
  • d)
    12.33%
Correct answer is option 'C'. Can you explain this answer?

  1. Identify the emissions data:
    • 2005: 500 million metric tons
    • 2009: 800 million metric tons
    • Total growth: 800 – 500 = 300 (60% increase over 4 years).
  2. Calculate year‑on‑year growth rates:
    • 2005–2006: (600 – 500) / 500 ≈ 20%
    • 2006–2007: (650 – 600) / 600 ≈ 8.33%
    • 2007–2008: (700 – 650) / 650 ≈ 7.69%
    • 2008–2009: (800 – 700) / 700 ≈ 14.29%
  3. Compute the arithmetic mean of annual growth rates:
    (20% + 8.33% + 7.69% + 14.29%) / 4 ≈ 50.31% / 4 ≈ 12.5775%
    Rounded to two decimal places: 12.57%.

How many degrees does a complete pie chart represent?
  • a)
    180 degrees.
  • b)
    360 degrees.
  • c)
    90 degrees.
  • d)
    270 degrees.
Correct answer is option 'B'. Can you explain this answer?

K.L Institute answered
A complete pie chart represents 360 degrees.
This total corresponds to 100 percent of the value of the continuous variable being represented.

What is the primary function of a pie chart in data representation?
  • a)
    To show the relationship between two variables.
  • b)
    To display data in a circular format, highlighting parts of a whole.
  • c)
    To represent data trends over time.
  • d)
    To compare multiple datasets side by side.
Correct answer is option 'B'. Can you explain this answer?

A pie chart is primarily used to display data in a circular format, highlighting the parts of a whole.
Each slice of the pie represents a category's proportion relative to the total, making it an effective tool for visualizing percentage relationships.

If a pie chart slice represents 25% of the total data, what is the angle of that slice in degrees?
  • a)
    90 degrees.
  • b)
    60 degrees.
  • c)
    75 degrees.
  • d)
    90 degrees.
Correct answer is option 'A'. Can you explain this answer?

T.S Academy answered
If a pie chart slice represents 25% of the total data, the angle can be calculated as 25% of 360 degrees, which equals 90 degrees.
This is derived from the formula: (25/100) * 360 = 90 degrees.

When constructing a pie chart, what is the first step you should take?
  • a)
    Calculate the total of all categories.
  • b)
    Draw the pie chart.
  • c)
    Determine the percentages of each category.
  • d)
    Label the chart.
Correct answer is option 'A'. Can you explain this answer?

K.L Institute answered
The first step in constructing a pie chart is to calculate the total of all categories.
This total is necessary for determining the percentage of each category relative to the whole.

If a pie chart indicates that water constitutes 70% of a person's body weight, how much does water weigh in a 50 kg person?
  • a)
    20 kg.
  • b)
    35 kg.
  • c)
    41 kg.
  • d)
    5 kg.
Correct answer is option 'B'. Can you explain this answer?

BT Educators answered
If water constitutes 70% of a person's body weight, in a 50 kg person, the weight of water would be 70% of 50 kg, which is 35 kg.
This calculation is made by multiplying 0.70 by 50.

What type of data is most appropriately represented by a pie chart?
  • a)
    Continuous numerical data.
  • b)
    Nominal or ordinal categorical data.
  • c)
    Time series data.
  • d)
    Interval data.
Correct answer is option 'B'. Can you explain this answer?

Upsc Toppers answered
Pie charts are most appropriate for nominal or ordinal categorical data.
They visually depict the relative sizes of different categories, making it easy to understand their proportions.

Which pie chart variant is used to emphasize specific slices by separating them from the main pie?
  • a)
    Doughnut chart.
  • b)
    Exploded pie chart.
  • c)
    3D pie chart.
  • d)
    Ring chart.
Correct answer is option 'B'. Can you explain this answer?

T.S Academy answered
An exploded pie chart is used to emphasize specific slices by separating them from the main pie.
This visual effect helps highlight particular categories within the overall data.

Which pie chart type allows for a hollow center to emphasize the data represented?
  • a)
    3D pie chart.
  • b)
    Doughnut chart.
  • c)
    Exploded pie chart.
  • d)
    Standard pie chart.
Correct answer is option 'B'. Can you explain this answer?

Lohit Matani answered
The doughnut chart has a hollow center, allowing for an emphasis on the data represented in the slices.
This format can enhance readability and focus on specific categories.

What percentage of total investment comes from both FII’s and NRI’s combined if FII’s account for 33% and NRI's for 11%?
  • a)
    44%.
  • b)
    33%.
  • c)
    11%.
  • d)
    22%.
Correct answer is option 'A'. Can you explain this answer?

The percentage of total investment coming from both FII’s and NRI’s combined is 33% + 11%, which equals 44%.
This highlights the combined contribution of these two categories to total investments.

Instructions: On the basis of the information given below, answer the questions that follow.
Maruti Suzuki has tie-ups with five dealers in Allahabad to sell their cars. The first pie chart given below gives the dealer-wise break-up of the number of cars sold by Maruti Suzuki in Allahabad in 2015. The second pie chart shows the model-wise breakup of the total cars sold by Maruti Suzuki in 2015 in Allahabad.
Q. If for any dealer, the percentage of Wagon R’s sold by him did not exceed 25% of his total sales, then at least how many dealers sold Wagon R?
  • a)
    8
  • b)
    3
  • c)
    11
  • d)
    17
Correct answer is option 'B'. Can you explain this answer?

Iq Funda answered
We have to minimize the number of dealers who sold Wagon R.
So to minimize the number of dealers, the dealers who have largest share in total sales should have maximum share of Wagon R.
So if we assume that Q and R sold Wagon R the maximum number of Wagon R’s they can sell is 25% of 51 which is equal to 12.75%.
But the overall share of Wagon R is 16% so there should be at least 1 more dealer who sells Wagon R.
Hence the correct answer is 3.

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