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This mock test of Practice Test: Pie Chart - 2 for CAT helps you for every CAT entrance exam.
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QUESTION: 1

Answer the questions on the basis of the information given below.

ABC Ltd. is a courier company that uses three modes of transport for its services – Air, Rail and Road. The following pie charts show the distribution of the total number of couriers (Chart-1), revenue generated (Chart-2) and total cost (Chart-3) for the different modes of transport for the year 2017. Assume that the only cost involved was that incurred on transportation.

Q. In 2017, if the company made a profit of 20%, what was the profit percentage on the couriers sent by Air transport?

Solution:

The ratio of total revenue to the total cost for

Air transport =10R/ 11C

Where R is the revenue generated by the company. C is the total cost of the company.

If the profit% of the company is 20%, then R/C = 1.2

So, total revenue as a fraction of cost for couriers

sent through Air transport = 10/11 X 1.2 = 1.0909

Hence, the profit% for couriers sent through

Air transport = 9.09%

QUESTION: 2

Answer the questions on the basis of the information given below.

ABC Ltd. is a courier company that uses three modes of transport for its services – Air, Rail and Road. The following pie charts show the distribution of the total number of couriers (Chart-1), revenue generated (Chart-2) and total cost (Chart-3) for the different modes of transport for the year 2017. Assume that the only cost involved was that incurred on transportation.

Q. Through which mode of transportation did the company generate maximum profit in 2017?

Solution:

Let the total cost be 360C and the revenue generated be 360R for ABC Ltd. in the year 2017. Profit generated by:

Road transport = 72R – 72C.

Rail transport = 108R – 90C.

Air transport = 180R – 198C.

The profit generated is a function of R and C whose value are not known.

So the answer cannot be determined.

QUESTION: 3

Answer the questions on the basis of the information given below.

ABC Ltd. is a courier company that uses three modes of transport for its services – Air, Rail and Road. The following pie charts show the distribution of the total number of couriers (Chart-1), revenue generated (Chart-2) and total cost (Chart-3) for the different modes of transport for the year 2017. Assume that the only cost involved was that incurred on transportation.

Q. Which mode of transportation had the least cost of transport per courier in the year 2017 for the company?

Solution:

Let the total number of couriers be 360N and the total cost be 360C. So the cost per courier for:

Road transport = 72C/150N = 0.48C/N

Rail transport = 90C /120N = 0.75C/N .

Air transport = 198C / 90N = 2.2C/N

It is clear from the above that the **road** transport has the least cost of transport per courier.

QUESTION: 4

The pie charts given below represent the market share of different players in the electronics market in the year 1995 and 2000. A new player F has entered the market in the given period.

Q.** **What is the percentage increase in the sales of A in the year 2000 over 1995?

Solution:

There are two successive increases—First is the total increase of 60% approx. ($ 3.7 bn in 2000 from $ 2.3 billion in 1995) and second is the percentage share of A by 20% approx. Hence total percentage increase = 92%.

QUESTION: 5

The pie charts given below represent the market share of different players in the electronics market in the year 1995 and 2000. A new player F has entered the market in the given period.

Q.** **Find the CAGR with which the market has grown for the period 1995–2000?

Solution:

Market size in 2000 = $ 3.7 billion

Market size in 1995 = $ 2.3 billion

Therefore, growth rate

= [(3.7/2.3)1/5 – 1] × 100 = 10 %

Hence, option (b) is the correct answer.

[3.7/2.3 = 1.6, now to find (1.6)1/5 , 1.13 = 1.331 and 1.12 = 1.21 and 1.3 × 1.2 = 1.6

Thus, 1.61/5 = 1.1]

QUESTION: 6

The pie charts given below represent the market share of different players in the electronics market in the year 1995 and 2000. A new player F has entered the market in the given period.

Q. If the new entrant F has grown at the expense of B, C, and E, what would be the change in the net value of sales of E in the year 2000, had F not entered the market?

Solution:

Since we do not know what part of market share of B. C and E has been eaten up by F, so cannot be determined.

QUESTION: 7

Q. What is the increase in sales (in $ million) of A, B and C put together, over the 5 years period?

Solution:

Sales value for A + B + C in 2000 = (13 + 14 + 19)% of 3.7 billion = 46 % × 3.7 = 1.702 billion, Sales value for A + B + C in 1995 = (16 + 17 + 12) % of 2.3 billion = 1.035 billion.

Hence increase in sales value = 1703 – 1035 = $ 668 million.Hence, option (c) is the correct answer.

QUESTION: 8

Answer the questions based on the pie charts given below.

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.

Q. The cost in rupees per tonne of oil moved by rail and road happens to be roughly

Solution:

**Cost in rupees of oil moved by rail and road is 18% of 30 million = 5.4 million.
Volume of oil transported by rail and road
= 31% of 12 million tonnes = 3.72 million tonnes.
Cost in rupees per tonnes =5.4/3.72 = 1.5 approximately.**

QUESTION: 9

Answer the questions based on the pie charts given below.

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.

Q. From the charts given, it appears that the cheapest mode of transport is

Solution:

From the chart, we can make out the least among road, rail, pipeline, ship by looking at the ratio of cost to volume.

Road = 6/22

Rail= 12/9

Pipeline = 65 /49

Ship= 10/ 9

Since ratio of cost to volume for road is the lowest, it is the cheapest

QUESTION: 10

Answer the questions based on the pie charts given below.

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.

Q. 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?

Solution:

Ship, air and road.

Like the previous answer again look at the ratio of

10/9, 7/11, 6/22

So 10/9> 7/11 > 6/22

Hence, P>Q>R

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