Chart 1 shows the distribution of 12 million tonnes of crude oil transported through different modes over a specific period of time. Chart 2 shows the distribution of the cost of transporting this crude oil. The total cost was Rs. 30 million.
The cost in rupees per tonne of oil moved by rail and road happens to be roughly:
Show Hint
- Rs. 3
- Rs. 1.5
- Rs. 4.5
- Rs. 8
The Correct Option is C
Solution and Explanation
From Chart 2: Rail cost share = 12% of Rs. 30 million = Rs. 3.6 million.
Cost per tonne = 3.6 million / 1.08 million = Rs. 3.33 (rail).
Road = 22% of 12 million = 2.64 million tonnes.
Road cost share = 6% of Rs. 30 million = Rs. 1.8 million.
Cost per tonne = 1.8 million / 2.64 million ≈ Rs. 0.68.
Combined ≈ Rs. 4.01, close to Rs. 4.5.
From the charts given, it appears that the cheapest mode of transport is:
Show Hint
- road
- rail
- pipeline
- ship
The Correct Option is A
Solution and Explanation
If the costs per tonne of transport by ship, air and road are represented by P, Q and R respectively, which of the following is true?
Show Hint
- R>Q>P
- P>R>Q
- P>Q>R
- R>P>Q
The Correct Option is C
Solution and Explanation
Air: 11% of 12 million = 1.32 million tonnes, cost share = 7% of Rs. 30 million = Rs. 2.1 million → cost/tonne ≈ Rs. 1.59.
Road: ≈ Rs. 0.68/tonne.
Thus P (ship)>Q (air)>R (road).
Top Questions on Pie Charts
Light Chemicals is an industrial paint supplier with presence in three locations: Mumbai, Hyderabad and Bengaluru. The sunburst chart below shows the distribution of the number of employees of different departments of Light Chemicals. There are four departments: Finance, IT, HR and Sales. The employees are deployed in four ranks: junior, mid, senior and executive. The chart shows four levels: location, department, rank and gender (M: male, F: female). At every level, the number of employees at a location/department/rank/gender are proportional to the corresponding area of the region represented in the chart.
Due to some issues with the software, the data on junior female employees have gone missing. Notice that there are junior female employees in Mumbai HR, Sales and IT departments, Hyderabad HR department, and Bengaluru IT and Finance departments. The corresponding missing numbers are marked u, v, w, x, y and z in the diagram, respectively.
It is also known that:
a) Light Chemicals has a total of 210 junior employees.
b) Light Chemicals has a total of 146 employees in the IT department.
c) Light Chemicals has a total of 777 employees in the Hyderabad office.
d) In the Mumbai office, the number of female employees is 55.
Study the given pie charts carefully to answer the questions that follows
- The following pie-chart shows the amount collected by a shopkeeper by selling four different food items in degrees. The total amount collected is Rs.64,800. The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?
- The following pie-chart shows the amount collected by a shopkeeper by selling four different food items in degrees. The total amount collected is Rs.64,800. Find the average amount collected from the sales of Bengali dishes, Punjabi dishes and Gujarati dishes.
- Company D produced 75% more iron in 2014 than produced by it in 2013. What percent of iron produced in 2014 was produced by company D?
Questions Asked in CAT exam
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For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is:
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- If $a - 6b + 6c = 4$ and $6a + 3b - 3c = 50$, where $a, b$ and $c$ are real numbers, the value of $2a + 3b - 3c$ is:
- CAT - 2025
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