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Test Level 3: Mixed Graphs - CAT MCQ


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15 Questions MCQ Test - Test Level 3: Mixed Graphs

Test Level 3: Mixed Graphs for CAT 2024 is part of CAT preparation. The Test Level 3: Mixed Graphs questions and answers have been prepared according to the CAT exam syllabus.The Test Level 3: Mixed Graphs MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 3: Mixed Graphs below.
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Test Level 3: Mixed Graphs - Question 1
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Directions: Study the information given below and answer the following question.
The pie charts show the expenditure of a company on salaries of part-time and full-time employees for the first 6 months and the table shows the ratio of revenues generated by part-time employees to that by full-time employees in six months. Profit/loss is calculated as difference between revenue and expenditure, where the only expenditure incurred is in the form of salaries, as the rest is 100% subsidised by the government.

Q. If in January, the company's total profit was Rs. 11,65,000, then what was the revenue generated by full-time employees in that month?

Detailed Solution for Test Level 3: Mixed Graphs - Question 1

Expenditure in January on part-time employees = 0.20 × Rs. 5,00,000 = Rs. 1,00,000
Expenditure in January on full-time employees = 0.15 × Rs. 9,00,000 = Rs. 1,35,000
Total expenditure in January = Rs. (1,00,000 + 1,35,000) = Rs. 2,35,000
Total revenue in January = Rs. (11,65,000 + 2,35,000) = Rs. 14,00,000
So, revenue generated by full-time employees = (5/7) × Rs. 14,00,000 = Rs. 10,00,000
Thus, answer option (3) is correct.

Test Level 3: Mixed Graphs - Question 2
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Directions: Study the following information and answer the question
1000 members of the Automotive Component Manufacturers Association (ACMA) contributed to India's Rs. 4500 crore exports in 2012-13. Of these, top 7 exporters are listed below. These companies are the top 7 exporters for both the years, i.e. 2011-12 and 2012-13.

Q. What will be the approximate export growth by the top 7 companies from 2012-13 to 2013-14 if the total export increased by 20% from 2012-13 to 2013-14 considering there is no change in export for rest of the companies other than top 7 companies?

Detailed Solution for Test Level 3: Mixed Graphs - Question 2

Approximate export of 1000 companies = 1.2 × 4500 = 5400 crore
Approximate export of companies other than top 7 in 2012-13 = 4500 - 1085 = 3415 crore (Calculated from the graph)
Export of top 7 companies in 2013-14 = 5400 - 3415 = 1985 crore
And from the graph, their export in 2012-13 = 1085 crore
Required % growth 

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Test Level 3: Mixed Graphs - Question 3
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Directions: Study the following information and answer the question
1000 members of the Automotive Component Manufacturers Association (ACMA) contributed to India's Rs. 4500 crore exports in 2012-13. Of these, top 7 exporters are listed below. These companies are the top 7 exporters for both the years, i.e. 2011-12 and 2012-13.

Q. If India's total auto exports increased by 12% from 2011-12 to 2012-13, then what was the approximate export growth by the companies which were not in the top 7 from 2011-12 to 2012-13?

Detailed Solution for Test Level 3: Mixed Graphs - Question 3

Approximate turnover of 1000 companies in 2011-12 

Approximate turnover of top 7 companies in 2011-12 = 861 crore
Approximate turnover of the companies other than top 7 in 2011-12 = 4017 - 861 = 3156
Approximate turnover of the companies other than top 7 in 2012-13 = 4500 - 1085 = 3415
Percentage export growth of the companies other than top 7 from 2011-12 to 2012-13 

Test Level 3: Mixed Graphs - Question 4
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Directions: Study the following information and answer the question.
The bar graphs given below provide some information about the students of class X of a particular school. Five tests, one each on five different subjects - Physics, History, Biology, English and Maths, were conducted on a single day. 20% of the students were absent on that particular day and hence were not able to take the tests. All the present students took each of the five tests. As the school policy, the absent students were assumed to have failed in the tests.

Q. Find the ratio of the number of boys to the number of girls who passed in the History test.
Detailed Solution for Test Level 3: Mixed Graphs - Question 4

Let the number of students who were present and absent for the tests be 20x and 5x, respectively.
Therefore, the number of boys and that of girls who were present for the tests were 8x and 12x, respectively.
The number of boys and that of girls who were absent for the tests were 4x and x, respectively.
The total number of boys and girls in the class was (8x + 4x = 12x) and (12x + x = 13x), respectively.
Number of boys who passed in the History test

Number of girls who passed in the History test 


∴ Required ratio

Test Level 3: Mixed Graphs - Question 5
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Directions: Study the following information and answer the question.
The bar graphs given below provide some information about the students of class X of a particular school. Five tests, one each on five different subjects - Physics, History, Biology, English and Maths, were conducted on a single day. 20% of the students were absent on that particular day and hence were not able to take the tests. All the present students took each of the five tests. As the school policy, the absent students were assumed to have failed in the tests.

Q. Amongst the students who took the test, what is the ratio of the number of boys to the number of girls who failed in the Maths test?
Detailed Solution for Test Level 3: Mixed Graphs - Question 5

Let the number of students who were present and absent for the tests be 20x and 5x, respectively.
Therefore, the number of boys and that of girls who were present for the tests were 8x and 12x, respectively.
The number of boys and that of girls who were absent for the tests were 4x and x, respectively.
The total number of boys and girls in the class was (8x + 4x = 12x) and (12x + x = 13x), respectively.
Number of boys and that of girls who failed in the Maths test = ((100 - 40)/100) × 12x 

All the students who were absent, failed in the Maths test.
Therefore, number of boys who were present, and who failed in the Maths test = 7.2x - 4x = 3.2x
Therefore, number of girls who were present, and who failed in the Maths test 

Test Level 3: Mixed Graphs - Question 6
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Directions: Study the following information and answer the question.


The pie-chart above gives the break-up of the total purchases across various categories for Tata Iron Pvt. Ltd. in the year 2012-13. The Tata Iron Pvt. Ltd. procures materials of five categories: M1, M2, M3, M4 and M5. Each material category has a supplier base of 100 suppliers (as given in the table) and there are no supplier overlaps across material categories. The supplier classification is as follows:
1. A class suppliers: They contribute to 70 per cent of the purchases of each metal category.
2. B class suppliers: They contribute to 20 per cent of the purchases of each metal category.
3. C class suppliers: They contribute to 10 per cent of the purchases of each metal category.

Q. What is the average value of purchases per supplier made by C class suppliers in M4?
Detailed Solution for Test Level 3: Mixed Graphs - Question 6

Number of C class suppliers in M4 = 80
Purchases by C class suppliers in M4 = 10% x M4 purchases = 10% x 18% x 8800 = Rs. 158.4
Average value of purchases by C class M4 suppliers

= 158.4/80 = Rs.1.98 crore/supplier

Test Level 3: Mixed Graphs - Question 7
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Directions: Study the following information and answer the question.


The pie-chart above gives the break-up of the total purchases across various categories for Tata Iron Pvt. Ltd. in the year 2012-13. The Tata Iron Pvt. Ltd. procures materials of five categories: M1, M2, M3, M4 and M5. Each material category has a supplier base of 100 suppliers (as given in the table) and there are no supplier overlaps across material categories. The supplier classification is as follows:
1. A class suppliers: They contribute to 70 per cent of the purchases of each metal category.
2. B class suppliers: They contribute to 20 per cent of the purchases of each metal category.
3. C class suppliers: They contribute to 10 per cent of the purchases of each metal category.

Q. What is the difference between values of purchases made by A class supplier in M2 and B class suppliers in M4 material category?
Detailed Solution for Test Level 3: Mixed Graphs - Question 7

Purchases made by A class suppliers in M2 = 70% of total M2 purchases = 70% of 9% of 8800 = Rs. 554.4 crore
Purchases made by B class suppliers in M4 = 20% of total purchases of M4 = 20% of 18% of 8800 = Rs. 316.8 crore
Required difference = 554.4 - 316.8 = Rs. 237.6 crore

Test Level 3: Mixed Graphs - Question 8
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Directions: Study the data given below and answer the following question.
The pie charts below show the percentages of the total distance covered by a boat moving upstream and downstream on different days of a week. The table shows the speeds of the stream (in km/hr) on different days of the week.

Q. Time taken on Monday while travelling upstream was 5 hours more than time taken on Wednesday while travelling downstream, and time taken on Monday while travelling downstream was  hours. If the speed of the boat in still water on Monday was 32 km/hr and the speed of the stream on Wednesday was 4 km/hr less than that on Monday, then calculate the speed of the boat in still water on Wednesday.
Detailed Solution for Test Level 3: Mixed Graphs - Question 8

Speed of stream:
On Monday = (x) km/hr
On Wednesday = (x - 4) km/hr
Speed of boat: On Monday, travelling downstream 

⇒ Speed of stream: On Monday = 39 - 32 = 7 km/hr [Speed of boat in still water on Monday = 32 km/hr, Speed of boat travelling downstream = Speed of boat in still water + Speed of stream]
⇒ Speed of stream: On Wednesday = 7 - 4 = 3 km/hr
Now, speed of boat in still water on Wednesday = (y) km/hr
Time difference between Monday travelling upstream and Wednesday travelling downstream: 

Hence, speed of stream on Wednesday = 21 km/hr

Test Level 3: Mixed Graphs - Question 9
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Directions: Study the data given below and answer the following question.
The pie charts below show the percentages of the total distance covered by a boat moving upstream and downstream on different days of a week. The table shows the speeds of the stream (in km/hr) on different days of the week.

Q. Calculate the time taken on Tuesday travelling upstream if the time taken on Friday travelling downstream was 3 hours more than the time taken on Tuesday travelling downstream, and speed of the boat in still water on Friday was 22 km/hr.
Detailed Solution for Test Level 3: Mixed Graphs - Question 9

Let speed of boat in still water on Tuesday be (x) km/hr.
Time difference between Friday travelling downstream and Tuesday travelling downstream:

Time taken by boat on Tuesday travelling upstream 

Test Level 3: Mixed Graphs - Question 10
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Directions: The table below shows the details of various items sold by a store.

The pie chart shows the breakup of number of items in the store.

Q. If a shopkeeper earns 5% profit on Washing Machines and the ratio between the number of Refrigerators to the number of Washing Machines is 1 : 3, then how much total discount did the shopkeeper give on the sale of 3/4th of Washing Machines?
Detailed Solution for Test Level 3: Mixed Graphs - Question 10

Mark-up price of Washing Machines = (200 x 40)/100 = 80 200 + 80 = 280
Selling price of 1 Washing Machine = 1.05 × 200 = Rs. 210
Discount on 1 Washing Machine = Rs. 280 - Rs. 210 = Rs. 70
Let the number of Refrigerators = n and the number of Washing Machines = 3n
Then, n + 3n = 6000 - (23 + 37)% of 6000
n + 3n = 6000 - 3600
4n = 2400
n = 600
The number of washing machines = 3n
= 1800
Total discount of 3/4th of the Washing Machines = (3/4) x 1800 × 70 = Rs. 94,500

Test Level 3: Mixed Graphs - Question 11
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Directions: The table below shows the details of various items sold by a store.

The pie chart shows the breakup of number of items in the store.

Q. If the shopkeeper allows 10% discount on the marked price of TV and the cost price of one Refrigerator is Rs. 385, then what is the difference between the profit earned on all the TVs and that on all the Refrigerators? It is given that the ratio of the number of Refrigerators to the number of Washing Machines is 1 : 3.
Detailed Solution for Test Level 3: Mixed Graphs - Question 11

Marked price of TV = 1.3 × 500 = Rs. 650
Selling price of TV = Rs. 650 × 0.9 = Rs. 585
Profit earned on all the TVs = 0.37 × 6,000 × (Rs. 585 - Rs. 500) = Rs. 1,88,700
Let the number of Refrigerators = n and the number of Washing Machines = 3n
Then, n + 3n = 6,000 - (23 + 37)% of 6,000
n + 3n = 6,000 - 3,600
4n = 2,400
n = 600
Profit earned on all the Refrigerators = 600 × (Rs. 400 - Rs. 385) = Rs. 9,000
Required difference in profit = Rs. 1,88,700 - Rs. 9,000 = Rs. 1,79,700

Test Level 3: Mixed Graphs - Question 12
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Directions: Study the following information and answer the question
1000 members of the Automotive Component Manufacturers Association (ACMA) contributed to India's Rs. 4500 crore exports in 2012-13. Of these, top 7 exporters are listed below. These companies are the top 7 exporters for both the years, i.e. 2011-12 and 2012-13.

Q. How many companies among the top 7 exporters have a turnover of more than Rs. 600 crore in 2012-13?
Detailed Solution for Test Level 3: Mixed Graphs - Question 12

Percentage growth in exports of TISCO

Percentage growth in exports of Eicher Motors 

Test Level 3: Mixed Graphs - Question 13
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Directions: Study the following information and answer the question
1000 members of the Automotive Component Manufacturers Association (ACMA) contributed to India's Rs. 4500 crore exports in 2012-13. Of these, top 7 exporters are listed below. These companies are the top 7 exporters for both the years, i.e. 2011-12 and 2012-13.

Q. Which company recorded the fourth highest percentage growth in exports during 2012-13?
Detailed Solution for Test Level 3: Mixed Graphs - Question 13

Percentage growth in exports of TISCO

Percentage growth in exports of Eicher Motors 

Percentage growth in exports of Ashes 

Percentage growth in exports of IOCL 

Test Level 3: Mixed Graphs - Question 14
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Directions: Study the following information and answer the question.
The bar graphs given below provide some information about the students of class X of a particular school. Five tests, one each on five different subjects - Physics, History, Biology, English and Maths, were conducted on a single day. 20% of the students were absent on that particular day and hence were not able to take the tests. All the present students took each of the five tests. As the school policy, the absent students were assumed to have failed in the tests.

Q. By what percent is the number of girls who passed in the History test more than the number of boys who failed in the English test?
Detailed Solution for Test Level 3: Mixed Graphs - Question 14

Let the number of students who were present and absent for the tests be 20x and 5x, respectively.
Therefore, the number of boys and that of girls who were present for the tests were 8x and 12x, respectively.
The number of boys and that of girls who were absent for the tests were 4x and x, respectively.
The total number of boys and girls in the class was (8x + 4x = 12x) and (12x + x = 13x), respectively.
Number of boys who failed in the English test

Number of girls who passed in the History test 

Required percentage

Test Level 3: Mixed Graphs - Question 15
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Directions: Study the following information and answer the question.


The pie-chart above gives the break-up of the total purchases across various categories for Tata Iron Pvt. Ltd. in the year 2012-13. The Tata Iron Pvt. Ltd. procures materials of five categories: M1, M2, M3, M4 and M5. Each material category has a supplier base of 100 suppliers (as given in the table) and there are no supplier overlaps across material categories. The supplier classification is as follows:
1. A class suppliers: They contribute to 70 per cent of the purchases of each metal category.
2. B class suppliers: They contribute to 20 per cent of the purchases of each metal category.
3. C class suppliers: They contribute to 10 per cent of the purchases of each metal category.

Q. In 2013-14, the value of purchases is expected to grow at 12% and the supplier base is expected to grow at 20%. What will be the likely average value of purchases per supplier in 2013-14?
Detailed Solution for Test Level 3: Mixed Graphs - Question 15

Total purchases in 2013-14 = 1.12 x 8800 = Rs. 9856
Total supplier base in 2012-13 = 100 + 100 + 100 + 100 + 100 = 500 suppliers
Likely suppliers base in 2013-14 = 1.2 x 500 = 600 suppliers
Average value of purchases per supplier in 2013-14 = 9856/600 = Rs. 16.43 crore/supplier

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