CAT Mock Test

# Reasoning

Test 6

Direction (Qs.1 to 3): Answer these questions based on the information given below:

Telecom operators get revenue from transfer of data and voice. Average revenue received from transfer of each unit of data is known as ARDT. In the diagram below, the revenue received from data transfer as percentage of total revenue received and the ARDT in the Dollars (US\$) are given for various countries

Question 1. It is expected that by 2010, revenue from data transfer as a percentage of total revenue will triple for India and double from Sweden. Assume that in 2010, the total revenue in India is twice that of Sweden and that the volume of data transfer is the same in both the countries. What is the percentage increase of ARDT in India if there is no change in ARDT in Sweden?

1. 400%
2. 500%
3. 800%
4. 950%
5. Cannot be determined

Question 2. It was found that the volume of data transfer in India in the same as that of Singapore. Then which of the following statements is true?

1. Total revenue is the same in both countries
2. Total revenue in India is about 2 times that of Singapore
3. Total revenue in India is about 4 times that of Singapore
4. Total revenue in Singapore is about 2 times that of India
5. Total revenue in Singapore is about 4 times that of India

Question 3. If the total revenue received is the same for the pairs of countries listed in the choice below, choose the pair that has approximately the same volume of data transfer.

1. Philippines and Austria
3. Germany and USA
4. UK and Spain
5. Denmark and Mexico

Directions(Qs.4 to 6): Answer these questions based on the information given below:

For admission to various affiliated colleges, a university conducts a written test with four different sections, each with a maximum of 50 marks. The following table gives the aggregate as well as the sectional cut-off marks in each of the sections and his/her aggregate marks are at least equal to the aggregate cut off marks as specified by the college.

Sectional cut-off marksAggregate
Section ASection BSection CSection DCut-off
College 1424242176
College 24545175
College 346171
College 44345178
College 54543180
College 64144176

Question 4. Charlie got calls from two colleges. What would be the minimum marks obtained by him in a section?

1. 0
2. 21
3. 25
4. 35
5. 41

Question 5. Bhama got calls from all colleges. What could be the minimum aggregate marks obtained by her?

1. 180
2. 181
3. 196
4. 176
5. 184

Question 6. Aditya did not get a call from even single college. What could be the maximum aggregate marks obtained by him?

1. 181
2. 176
3. 184
4. 196
5. 190

Answer: 1 - a, 2 - e, 3 - d, 4 - c, 5 - b, 6 - c

Directions(Qs.7 to 9): Answer these questions based on the information given below:

There are 100 employees in an organization across five departments. The following table gives the department-wise distribution of average age, average basic pay and allowance. The gross pay of an employee is the sum of his/her basic pay and allowances.

DepartmentNo. of employeesAve age (years)Ave Basic Pay (Rs.)Allowances (% of basic pay)
HR545500070
Marketing3035600080
Finance2030650060
Maintenance1035550050

There are limited numbers of employee considered for transfer/promotion across departments. Whenever a person is transferred/promoted from a department of lower average to a department of higher average age, he/she will get an additional allowance of 10% of basic pay over and above his/her current allowance. There will not be any change in pay structure if a person is transferred/promoted from a department with higher average age to a department with lower average age.

Question 7. What is the approximate percentage change in the average gross pay of the HR department due to transfer of a 40-year old person with basic pay of Rs.8000 from the marketing department?

1. 9%
2. 11%
3. 13%
4. 15%
5. 17%

Question 8. There are mutual transfer of an employee between Marketing and Finance departments and transfer of one employee from Marketing to HR. As a result, the average age of Finance department increased by one year and that of marketing department remained the same. What is the new average age of HR department?

1. 30
2. 35
3. 40
4. 45
5. Cannot be determined

Question 9. If the employees ( each with a basic pay of Rs. 6000) are transferred from Maintenance department to HR department and one person (with a basic pay of Rs . 8000) was transferred from Marketing department to HR department, what will be the percentage change in average basic pay of HR department?

1. 10.5%
2. 12.5%
3. 15%
4. 30%
5. 40%

Answer: 7 - c, 8 - c, 9 - b

Directions(Qs.10 to 13): Answer these questions based on the information given below:

In a sport event, six teams ( A, B, C, D, E, and F) are competing against each other. Matches are scheduled in two stages. Each team plays three matches in Stage-I and two matches in Stage-II. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion of Stage-I and Stage-II are as given below.

Stage-I:

• One team won all the three matches.
• Two teams lost all the matches.
• D lost to A but won against C and F.
• E lost to B but won against C and F.
• B lost at least one matches.
• F did not play against the top team of Stage-I

Stage- II:

• The leader of Stage-I lost the next two matches
• Of the two teams at the bottom after Stage-I, one team won both matches, while the other lost both matches.
• One more team lost both matches in Stage-II

Question 10. The teams that won exactly two matches in the event are:

1. A, D and F
2. D and E
3. E and F
4. D, E and F
5. D and F

Question 11. The team(s) with the most wins in the event is (are):

1. A
2. A and C
3. F
4. E
5. B and E

Question 12. The two teams that defeated the leader of Stage-I are:

1. F and D
2. E and F
3. B and D
4. E and D
5. A and D

Question 13. The only team(s) that won both the matches in Stage-II is (are):

1. B
2. E and F
3. A, E and F
4. B, E and F
5. B and F

Answer: 10 - e, 11 - e, 12 - b, 13 - d

Directions(Qs.14 to 16): Answer these questions based on the statements given below:

1. There are three houses on each side of the road.
2. These six houses are labelled as P, Q, R, S, T, and U.
3. The houses are of different colours namely Red, Blue, Green, Orange, Yellow and White.
4. The houses are of different heights.
5. T ,the tallest house, is exactly opposite to the Red coloured house.
6. The shortest house, is exactly opposite to the Green coloured house.
7. U, the Orange coloured house, is located between P and S.
8. R, the yellow coloured house, is exactly opposite to P.
9. Q, the Green coloured house, is exactly opposite to U.
10. P, the White coloured house, is taller than R, but shorter than Sand Q.

Question 14.Which is the second tallest house?

1. P
2. S
3. Q
4. R
5. Cannot be determined

Question 15. What is the colour of the house diagonally opposite to the Yellow coloured house?

1. White
2. Blue
3. Green
4. Red
5. None of these

Question 16. What is the colour of the tallest house?

1. Red
2. Blue
3. Green
4. Yellow
5. None of these

Answer: 14 - e, 15 - d, 16 - b

Directions(Qs.17 to 21): Answer these questions based on the information given below:

Abdul, Bikram and Chetan are three professional traders who trade in shares of a company XYZ Ltd. Abdul follows the strategy of buying at the opening of the day at 10 am and selling the whole lot at the close of the day at 3 pm. Bikram follows the strategy of buying at hourly intervals; 10am, 12noon, 1pm and 2pm, the selling the whole lot at the close of the day. Further, he buys an equal number of shares in each purchase. Chetan follows as similar pattern as Bikram but his strategy is somewhat different. Chetan’s total investment amount is divided equally among his purchases. The profit or loss made by each investor is the differences between the sale value at the close of the day, less the investment in purchase. The “return” for each investor is defined as the ratio of the profit or loss to the investment amount expressed as a percentage.

Question 17. Which one of the following statements is always true?

1. Abdul will not be the one with the minimum return
2. Return for Chetan will be higher than that of Bikram
3. Return for Bikram will be higher than that of Chetan
4. Return for Chetan cannot be higher than that of Chetan
5. None of these

Question 18. On a day of fluctuating market prices, the share price of XYZ Ltd. Ends with a gain, i.e., it is higher at the close of the day compared to the opening value. Which trader got the maximum return on the day?

1. Bikram
2. Chetan
3. Abdul
4. Bikram or Chetan
5. Cannot be determined

Question 19. On a “boom” day the share price of XYZ Ltd. Keeps rising throughout the day and peaks at the close of the day. Which trader got the minimum return on that day?

1. Bikram
2. Chetan
3. Abdul
4. Abdul or Chetan
5. Cannot be determined

One day, two other traders, Dane and Emily joined Abdul, Bikram and Chetan for trading in the shares of XYZ Ltd. Dane followed a strategy of buying equal number of shares at 10am, 11am and 12noon and selling the same numbers at 1pm, 2pm and 3pm. Emily on the other hand, followed the strategy of buying shares using all her money at 10am and selling all of them at 12 noon and again buying the shares for all the money at 1pm and again selling all of them at the close ofb the day at 3pm. At the close of the day the following was observed:

1. Abdul lost money in the transactions.
2. Both Dane and Emily made profits.
3. There was an increase in shares price during the closing hour compared to the price at 2pm.
4. Share price at 12 noon was lower than the opening price.

Question 20. Share price was at its highest at:

1. 10:00 AM
2. 11:00 AM
3. 12:00 Noon
4. 1:00 PM
5. Cannot be determined

Question 21. Which of the following is necessarily false?

1. Share price was at its lowest at 2 pm
2. Share price was at its lowest at 11 am
3. Share price at 1pm was higher than the share price at 2 pm
4. Share price at 1pm was higher than the share price at 12 noon
5. None of these

Answer: 17 - e, 18 - e, 19 - a, 20 - a, 21 - b

Directions(Qs.22 to 25): Answer these questions based on the information given below:

The bar chart below shows the revenue recieved, in million US Dollars (US\$ ), from subscribers to a particular Internet service. The data covers the period 2003 to2007 for the United States (US) and Europe. The bar chart also shows the estimated revenues from subscription to this service for the period 2008 to 2010.

Question 22. Consider the annual percent change in the gap between subscription revenues in the US and Europe. What is the year in which the absolute value of this change is the highest?

1. 2007
2. 2006
3. 2005
4. 2004
5. 2008

Question 23. While the subscription in Europe has been growing steadily towards that of the US ,the growth rate in Europe seems to be declining. Which of the followings is closest to the percent change in growth rate of 2007(over2006) relative to the growth rate of 2005(over 2004)?

1. 17
2. 20
3. 35
4. 60
5. 100

Question 24. The difference between the estimate subscription in Europe in 2008 and what it would have been if it were computing using the percentage growth rate of 2007 (over 2006), is closest to:

1. 50
2. 80
3. 20
4. 10
5. 0

Question 25. In 2003, sixty percent of subscribers in Europe were men. Give that women subscribers increase at the rate of 10 percent per annum and men at the rate of 5 percent per annum, what is the approximate percentage growth of subscribers between 2003 and 2010 in Europe? The subscription prices are volatile and many change each year.

1. 62
2. 15
3. 78
4. 84
5. 50

Answer: 22 - d, 23 - c, 24 - a, 25 -a