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Question 05
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Question 05

Venkatesan S
IIM Bangalore Alumni | Cleared CAT 2015 | Cleared IIM B, C, L, K & I

U
i did not understand the point N part
Sanchit Gupta
10 months ago
If you look carefully at the graph there is no lower segment for point N, so it will be 0. And 0 divided by upper segment is always 0.
Sourav Singhania
10 months ago
Yup I got it.
1. CAT 2018: Logical Reasoning Question 5 Venkatesan S IIMB Alumnus

2. Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were invited to interview for a position. Candidates were required to reach the venue before 8 am. Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The following venue log shows the arrival times for these candidates. Some of the names have not been recorded in the log and have been marked as ? Time 7:10 AM 7:15 AM 7:25 AM 7:30 AM 7:40 AM 7:45 AM Akil, Chitra atima Person

3. Additionally here are some statements from the candidates: Balaram: I was the third person to enter Room 101. Chitra: I was the last person to enter the room I was allotted to. Erina: I was the only person in the room I was allotted to. Fatima: Three people including Akil were already in the room that I was allotted to when I entered it. Ganeshan: I was one among the two candidates allotted to Room 102.

4. What best can be said about the room to which Divya was allotted? 1. Definitely Room 102 2. Definitely Room 101 3. Either Room 101 or Room 102 4. Definitely Room 103

5. Who else was in Room 102 when Ganeshan entered? 1. Divya 2. Akil 3. No one 4. Chitra

6. When did Erina reach the venue? 1. 7:10 am 2. 7:25 am 3. 7:15 am 4. 7:45 am

7. If Ganeshan entered the venue before Divya, when did Balaram enter the venue? 1. 7:15 am 2. 7:25 am 3. 7:45 am 4. 7:10 am

8. Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were invited to interview for a position. Candidates were required to reach the venue before 8 am. Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The following venue log shows the arrival times for these candidates. Some of the names have not been recorded in the log and have been marked as ? Time 7:10 AM 7:15 AM 7:25 AM 7:30 AM 7:40 AM 7:45 AM Akil, Chitra atima Person

9. Additionally here are some statements from the 102 Ganesharn Chitra 101 103 candidates Balaram: I was the third person to enter Room 101 Chitra: I was the last person to enter the room I was Akil Erina Balaram allotted to. Erina: I was the only person in the room I was allotted to. Fatima: Three people including Akil were already in the Fatima room that I was allotted to when I entered it. Ganeshan: I was one among the two candidates allotted to Room 102

10. What best can be said about the room to which Divya was allotted? 1. Definitely Room 102 2. Definitely Room 101 3. Either Room 101 or Room 102 4. Definitely Room 103

11. Who else was in Room 102 when Ganeshan entered? 1. Divya 2. Akil 3. No one 4. Chitra 101 102 Ganeshan Chitra 103 Akil Erina Balaram Fatima

12. When did Erina reach the venue? 1. 7:10 am 2. 7:25 am 3. 7:15 am 4. 7:45 am

13. If Ganeshan entered the venue before Divya, when did Balaram enter the venue? 1. 7:15 am 2. 7:25 am 3. 7:45 am 4. 7:10 am 101 Akil Divya Balaram Fatima 102 Ganesharn Chitra 103 Erina Time 7:10 AM 7:15 AM 7:25 AM 7:30 AM 7:40 AM 7:45 AM Chitra Fatima Person Akil,?

14. What best can be concluded about the code for the letter B? 1. 3 2. 3 or 4 3. 1 4. 1 or 3 or 4

15. For how many digits can the complete list of letters associated with that digit be identified? 1.1 2. 2 3.0 4. 3

16. What best can be concluded about the code for the letter L? 1. 6 2. 8 3. 1 or 8 4. 1

17. What best can be concluded about the code for the letter B? 1. 3 2. 3 or 4 3. 1 4. 1 or 3 or 4

18. What best can be concluded about the code for the letter B? 1. 3 2.30r4 3. 1 4. 1 or 3 or 4

19. For how many digits can the complete list of letters associated with that digit be identified? 1.1 2. 2 3.0 4. 3

20. Which set of letters CANNOT be coded with the same digit? 1. I,B,M 2. X,Y,Z 3. S,U,V 4. S,E,Z

21. Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day: 1. 140 tickets were sold. 2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors 3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold. 4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.

22. Which of the following statements MUST be FALSE? 1. The numbers of Middle-aged and Young visitors buying Gold tickets were equal 2. The numbers of Old and Middle-aged visitors buying Platinum tickets were equal 3. The numbers of Gold and Platinum tickets bought by Young visitors were equal 4. The numbers of Old and Middle-aged visitors buying Economy tickets were equal

23. Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day: 1. 140 tickets were sold. 2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors 3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold. 4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.

24. If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Platinum tickets, then which among the following could be the total number of Platinum tickets sold? 1. 38 2. 34 3. 32 4. 36

25. If the number of Old visitors buying Platinum tickets was equal to the number of Middle- aged visitors buying Economy tickets, then the number of Old visitors buying Gold tickets was 3 If the number of Old visitors buying Gold tickets was strictly greater than the number of Young visitors buying Gold tickets, then the number of Middle-aged visitors buying Gold tickets was 0

26. Which of the following statements MUST be FALSE? 1. The numbers of Middle-aged and Young visitors buying Gold tickets were equal 2. The numbers of Old and Middle-aged visitors buying Platinum tickets were equal 3. The numbers of Gold and Platinum tickets bought by Young visitors were equal 4. The numbers of Old and Middle-aged visitors buying Economy tickets were equal

27. How many colleges receive the accreditation of AAA? What is the highest overall score among the eight colleges? How many colleges have overall scores between 31 and 40, both inclusive? 1. 3 2. 1 3.0 4. 2

28. An agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed Accreditation is awarded based on the following scheme: Range Accrediation Overall score> 45 35 < Overall Score<45 BAA 25 < Overall Score <35 BBA 15c= Overall Score < 25 BBB Overall Score < 15 Junnk

29. What is the weight of the faculty quality parameter? 1.0.3 2.0.4 3.0.1 4. 0.2

30. Each of the 23 boxes in the picture below represents a product manufactured by one of the following three companies: Alfa, Bravo and Charlie. The area of a box is proportional to the revenue from the corresponding product, while its centre represents the Product popularity and Market potential scores of the product (out of 20). The shadings of some of the boxes have got erased The companies classified their products into four categories based on a combination of scores (out of 20) on the two parameters - Product popularity and Market potential as given below Promising Blockbuster Doubtful No-hope >10 >10 >10 Product popularity score Market Potential Score <=10 > 10 <=10 < = 10 <= 10 0 2468 10 12 14 16 8 2 Product popularity

31. Considering all companies' products, which product category had the highest revenue? 1. No-hope 2. Doubtful 3. Promising 4. Blockbuster

32. Which of the following is the correct sequence of numbers of products Bravo had in No-hope, Doubtful, Promising and Blockbuster categories respectively? 2. 2,3,1,2 3. 3,3,1,2

33. Which of the following statements is NOT correct? 1. Alfa's revenue from Blockbuster products was the same as Charlie's revenue from Promising products 2. Bravo and Charlie had the same revenues from No-hope products 3. The total revenue from No-hope products was less than the total revenue from Doubtful products 4. Bravo's revenue from Blockbuster products was greater than Alfa's revenue from Doubtful products

34. The following facts are known: 1. Alfa and Bravo had the same number of products in the Blockbuster category. 2. Charlie had more products than Bravo but fewer products than Alfa in the No-hope category. 3. Each company had an equal number of products in the Promising category. 4. Charlie did not have any product in the Doubtful category, while Alfa had one product more than Bravo in this category. 5. Bravo had a higher revenue than Alfa from products in the Doubtful category. 6. Charlie had a higher revenue than Bravo from products in the Blockbuster category. 7. Bravo and Charlie had the same revenue from products in the No-hope category. 8. Alfa and Charlie had the same total revenue considering all products.

35. Which of the following is the correct sequence of numbers of products Bravo had in No-hope, Doubtful, Promising and Blockbuster categories respectively? 2. 2,3,1,2 3. 3,3,1,2

36. Which of the following statements is NOT correct? 1. Alfa's revenue from Blockbuster products was the same as Charlie's revenue from Promising products 2. Bravo and Charlie had the same revenues from No-hope products 3. The total revenue from No-hope products was less than the total revenue from Doubtful products 4. Bravo's revenue from Blockbuster products was greater than Alfa's revenue from Doubtful products

37. If the smallest box on the grid is equivalent to revenue of Rs.1 crore, then what approximately was the total revenue of Bravo in Rs. crore? 1. 24 2. 30 3. 40 4. 34

38. What is the minimum number of students enrolled in both G and L but not in K? If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L? 1. 18 2. 22 3. 19

39. Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L? 1.8 2. 7 3. 5 4. 6

40. What is the minimum number of students enrolled in both G and L but not in K? - 4 If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L? 1. 18 2. 22 3. 19

41. Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and K?

42. There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below: Brand Market Share (%) | Unit Selling Price | Profitability (%) Azra Bysi Cxqi Dipq 40 25 15 20 S. 15,000 20,000 30,000 25,000 10 30 40 30

43. The brand that had the highest profit in 2017 is: 1. Azra 2. Bysi 3. Cxqi 4. Dipq

44. There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below: Brand Market Share (%) | Unit Selling Price | Profitability (%) Azra Bysi Cxqi Dipq 40 25 15 20 S. 15,000 20,000 30,000 25,000 10 30 40 30

45. The brand that had the highest revenue in 2016 is: 1. Dipq 2. Cxqi 3. Azra 4. Bysi

46. The brand that had the highest revenue in 2016 is: 1. Dipq 2. Cxqi 3. Azra 4. Bysi

47. The brand that had the highest profit in 2016 is: 1. Bysi 2. Azra 3. Dipq 4. Cxqi

48. The brand that had the highest profit in 2016 is: 1. Bysi 2. Azra 3. Dipq 4. Cxqi

49. The base exchange rate of a currency X with respect to a currency Y is the number of units of currency Y which is equivalent in value to one unit of currency X. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell currency at selling exchange rates that are higher than base exchange rates A currency exchange outlet uses the local currency L to buy and sell three international currencies A, B, and C, but does not exchange one international currency directly with another. The base exchange rates of A, B and C with respect to L are in the ratio 100:120:1. The buying exchange rates of each of A, B, and C with respect to L are 5% below the corresponding base exchange rates, and their selling exchange rates are 10% above their corresponding base exchange rates.

50. The base exchange rate of a currency X with respect to a currency Y is the number of units of currency Y which is equivalent in value to one unit of currency X. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell currency at selling exchange rates that are higher than base exchange rates A currency exchange outlet uses the local currency L to buy and sell three international currencies A, B, and C, but does not exchange one international currency directly with another. The base exchange rates of A, B and C with respect to L are in the ratio 100:120:1. The buying exchange rates of each of A, B, and C with respect to L are 5% below the corresponding base exchange rates, and their selling exchange rates are 10% above their corresponding base exchange rates.

51. The following facts are known about the outlet on a particular day: 1. The amount of L used by the outlet to buy C equals the amount of L it received by selling C. 2. The amounts of L used by the outlet to buy A and B are in the ratio 5:3. 3. The amounts of L the outlet received from the sales of A and B are in the ratio 5:9 4. The outlet received 88000 units of L by selling A during the day. 5. The outlet started the day with some amount of L, 2500 units of A, 4800 units of B, and 48000 units of C. 6. The outlet ended the day with some amount of L, 3300 units of A, 4800 units of B, and 51000 units of C.

52. What was the base exchange rate of currency B with respect to currency L on that day? - 240 What was the buying exchange rate of currency C with respect to currency L on that day? 1. 2.20 2. 1.10 3.0.95 4. 1.90