CAT 2017: Logical Reasoning Question 1 Venkatesan IIMB Alumnus

Question 1 Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. Preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fires at a time, and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However fries cannot be prepared in anticipation of future orders Healthy Bites wishes to serve the orders as early as possible. The individual items in any order are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served The table below gives the orders of three clients and the times at which they placed their orders;

Client number Time Order 10.0 1 burger, 3 portions of fries, 1 order of ice cream 10.05 2 portions of fries, 1 order of ice cream 10.07 1 burger, 1 portion of fires Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared. At what time is the order placed by Client 1 completely served? A) 10:17 B) 10:10 C) 10:15 D) 10:20

Question No.: 2 Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared At what time is the order placed by Client 3 completely served? A) 10:35 B) 10:22 C) 10:25 D) 10:17

Question No.: 3 Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier. At what time is the order placed by Client 2 completely served? A) 10:10 B) 10:12 C) 10:15 D) 10:17

Question No.: 4 Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier. Also assume that the fourth client came in only at 10:35. Between 10:00 and 10:30, for how many minutes is exactly one of the employees idle? A)7B) 10 C) 15 D) 23

Question 1 Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. Preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fires at a time, and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However fries cannot be prepared in anticipation of future orders. Fries 5 (upto 3 portions) Burger Ice-creanm Prep Time 10 2

Healthy Bites wishes to serve the orders as early as possible. The individual items in any order are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served. The table below gives the orders of three clients and the times at which they placed their orders; Time Order 1 burger, 3 portions of fries, 1 order of ice cream 2 portions of fries, 1 order of ice cream 1 burger, 1 portion of fires Client number 10.0 10.05 10.07

Burger Ice-cream Fries Prep Time 10 5 (upto 3 portions) Order Time 10:00 10:05 10:07 Fries 5 (3 portions) 5 (2 portions) 5 (1 portions) Burger Ice-cream Total Time 10 10

Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared At what time is the order placed by Client 1 completely served? A) 10:17 B) 10:10 C) 10:15 D) 10:20

Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared. At what time is the order placed by Client 1 completely served? A) 10:17 B) 10:10 C) 10:15 D) 10:20 Order Time 10:00 10:05 10:07 Fries 5 (3 portions) 5 (2 portions) 5 (1 portions) Burger Ice-cream Total Time 10 10:10 10

Question No.: 2 Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared At what time is the order placed by Client 3 completely served? A) 10:35 B) 10:22 C) 10:25 D) 10:17

Question No.: 3 Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier. At what time is the order placed by Client 2 completely served? A) 10:10 B) 10:12 C) 10:15 D) 10:17

Question No.: 4 Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier. Also assume that the fourth client came in only at 10:35. Between 10:00 and 10:30, for how many minutes is exactly one of the employees idle? A)7B) 10 C) 15 D) 23 Order Time 10:00 10:05 10:07 Fries 5 (3 portions) 5 (2 portions) 5 (1 portion:s) Burger 10 Ice-cream Free Time 3 mins 0 mins 7 mins 10

4200 4200 5100 13500 300 1200 300 1800 Total 5000 7300 5700 18000 NE 500 1900 300 2700 Total It is also known that: 1. 2. 3. In S, 60% of the surveyed kids were m G. Moreover, in S, all surveyed kids whose mothers had completed primary education were in school In NE, among the O kids, 50% had mothers who had dropped out before completing primary education The number of kids in G in NE was the same as the number of kids in G in W

Question No.:1 What percentage of kids from S were studying in P? A) 37% B) 6% C) 79% D) 56%

Question No.: 2 Among the kids in W whose mothers had completed primary education, how many were not in school? A) 300 B) 1200 C) 1050 D) 1500

A study to look at the early teaming of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (S). 50 four- year old kids each were sampled from each of the 150 villages from NE, 250 villages from W arid 200 villages from S. It was found that of the 30000 surveyed feds 55% studied in primary schools run by government (G), 37% in private schools (P) white the remaining 8% did not go to school Gd 4200 4200 5100 13500 8400 Pd 500 1900 300 2700 Od 300 1200 300 1800 Ts 2500 5200 4300 12000 Td 5000 7300 5700 18000 30000 RegionGs NE 7500 12500 10000 Total 3000 600

Question No.:1 What percentage of kids from S were studying in P? A) 37% B) 6% C) 79% D) 56%

Question No.: 2 Among the kids in W whose mothers had completed primary education, how many were not in school? A) 300 B) 1200 C) 1050 D) 1500 Gd 4200 4200 5100 13500 8400 Pd 500 1900 300 2700 Od 300 1200 300 1800 Ts 2500 5200 4300 12000 Td 5000 7300 5700 18000 RegionGs NE 1050 1050 900 3000 1150 3850 3400 300 300 0 600 Total 7500 12500 10000 30000 Total

Question No.: 3 In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in school earlier, in one region, 25% were in G now, whereas the rest were enrolled in P; in the second region, all such kids were in G now; while in the third region, 50% of such kids had now joined G while the rest had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools. What number of the surveyed kids now were in G in W? A) 6000 B) 5250 C) 6750 D) 6300

Question No.: 3 In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in school earlier, in one region, 25% were in G now, whereas the rest were enrolled in P; in the second region, all such kids were in G now; while in the third region, 50% of such kids had now joined G while the rest had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools. What number of the surveyed kids now were in G in W? A) 6000 B) 5250 C) 6750 D) 6300 2400 600 1500 300 1200 150 750 300 1200 450 750 0

2400 600 1500 300 1200 150 750 300 1200 450 750 0 In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in school earlier, in one region, 25% were in G now, whereas the rest were enrolled in P; in the second region, all such kids were in G now; while in the third region, 50% of such kids had now joined G while the rest had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools. What percentage of the surveyed kids in S, whose mothers had dropped out before completing primary education, were in G now? A) 94.7% B) 89.5% C) 93.4% D) Cannot be determined from the given information Gd 4200 4200 5100 13500 8400 Pd 500 1900 300 2700 Od 300 1200 300 1800 Ts 2500 5200 4300 12000 Td 5000 7300 5700 18000 30000 Total 7500 12500 10000 RegionGs 1050 1050 900 3000 1150 3850 3400 300 300 0 600 NE Total

Question No.:17 There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are "challenging", while the remaining ones are "standard". Each of the challenging projects has to be completed in different months. Every month, five teams - T1, T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third, fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest. In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T3 has one more SE than T4, and T4 has one more SE than T5. Between two successive months, the composition of the teams changes as follows: a. The team allotted the challenging project, gets two SE from the team which was allotted the challenging project in the previous month. In exchange, one RE is shifted from the former team to the latter team. b. After the above exchange, if T1 has any SE and T5 has any RE, then one SE is shifted from T1 to T5, and one RE is shifted from T 5 to T1. Also, if T2 has any SE and T4 has any RE, then one SE is shifted from T2 to T4, and one RE is shifted from T 4 to T2

Question No.: 3 Which of the following CANNOT be the total credit points earned by any employee from the projects? A) 140 B) 150 C) 170 D) 200

Question No.: 17 There are 21 employees working in a division, out of whom 10 are special- skilled employees (SE) and the remaining are regular skilled employee (RE). During the next five months, the division has to complete five projects T1 every month. Out of the 25 projects, 5 projects are "challenging", while th remaining ones are "standard". Each of the challenging projects has to be 4 completed in different months. Every month, five teams T1, T2, T3, T4 and T3 2 T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the T4 1 challenging project in the first, second, third, fourth and fifth month respectively. The team assigned the challenging project has one more employee than the rest. TeamSERE Total 5 4 4 4 4. T23 0 In the first month, T1 has one more SE than T2, T2 has one more SE tharn T3, T3 has one more SE than T4, and T4 has one more SE than T5

Question No.: 17 There are 21 employees working in a division, out of whom 10 are special skilled employees (SE) and the remaining are regular skilled employee (RE). During the next five months, the division has to complete five project every month. Out of the 25 projects, 5 projects are "challenging", while th remaining ones are "standard". Each of the challenging projects has to b completed in different months. Every month, five teams - T1, T2, T3, T4 and Te T5, work on one project each. T1, T2, T3, T4 and T5 are allotted th challenging project in the first, second, third, fourth and fifth month, T1 respectively. The team assigned the challenging project has one more T2 3 employee than the rest. RE Total 5 4 T3 2 24 4 4 In the first month, T1 has one more SE than T2, T2 has one more SE than T4 T3, T3 has one more SE than T4, and T4 has one more SE than T5 3 T5 0 4

Month 3 Team SE T1 T2 T3 T4 RE Total 4 4 Question No.: 17 0 4 Between two successive months, the composition of the teams changes as follows: a. The team allotted the challenging project, gets two SE from the team which was allotted the challenging project in the previous month. In exchange, one RE is shifted from the former team to the latter team Month 4 Team SE T1 T2 T3 T4 T5 RE b. After the above exchange, if T1 has any SE and T5 has any RE, then one SE is shifted from T1 to T5, and one RE is shifted from T 5 to T1. Also, if T2 has any SE and T4 has any RE, then one SE is shifted from T2 to T4, and one RE is shifted from T 4 to T2 Total 1 4

Question No.:1 Each standard project has a total of 100 credit points, while each challenging project has 200 credit points. The credit points are equally shared between the employees included in that team The number of times in which the composition of team T 2 and the number of times in which composition of team T 4 remained unchanged in two successive months are:

Question No.: 2 The number of SE in T1 and T5 for the projects in the third month are, respectively:

Question No.: 3 Each standard project has a total of 100 credit points, while each challenging project has 200 credit points. The credit points are equally shared between the employees included in that team. Which of the following CANNOT be the total credit points earned by any employee from the projects? A) 140 B) 150 C) 170 D) 200 Challenging 200/5 40 Standard 100 4 25

In a square layout of size 5m x 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are as shown below: 9 7 4 7 Individuals (all of same height) are seated on these platforms. We say an individual A can reach at individual B if all the three following conditions are met:

Question No.:1 How many individuals in this layout can be reached by just one individual? A) 3 B) 5 C) 7 D) 8

Question No.: 2 Which of the following is true for any individual at a platform of height 1 m in this layout? A) They can be reached by all the individuals in their own row and column B) They can be reached by at least 4 individuals C) They can be reached by at least one individual D) They cannot be reached by anyone

Question No.: 3 We can find two individuals who cannot be reached by anyone in A) the last row B) the fourth row C) the fourth column D) the middle column

Question No.: 4 Which of the following statements is true about this layout? A) Each row has an individual who can be reached by 5 or more individuals B) Each row has an individual who cannot be reached by anyone C) Each row has at least two individuals who can be reached by an equal number of individuals D) All individuals at the height of 9 m can be reached by at least 5 individuals

Question No.: 3 We can find two individuals who cannot be reached by anyone in A) the last row B) the fourth row C) the fourth column D) the middle column 6 4 6 1 7

Question No.: 4 Which of the following statements is true about this layout? A) Each row has an individual who can be reached by 5 or more individuals B) Each row has an individual who cannot be reached by anyone C) Each row has at least two individuals who can be reached by an equal number of individuals D) All individuals at the height of 9 m can be reached by at least 5 individuals

Question No.: 4 Which of the following statements is true about this layout? A) Each row has an individual who can be reached by 5 or more individuals B) Each row has an individual who cannot be reached by anyone C) Each row has at least two individuals who can be reached by an equal number of individuals D) All individuals at the height of 9 m can be reached by at least 5 individuals 6 2 4 4 5 6

BIE uses a different process for selection. If any candidate is appearing in the AET by AIE, BIE considers their AET score for final selection provided the candidate is at or above the 80th percentile in P. Any other candidate at or above the 80th percentile in P in CET, but who is not eligible for the AET, is required to appear in a separate test to be conducted by BIE for being considered for final selection. Altogether, there are 400 candidates this year who are at or above the 80th percentile in P.

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Venkatesan S

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

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Unacademy user

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Ratan

a year ago

dnt befool fellow upsc aspirants..every serious nd mature aspirant is totally aware abt urs fradulent practices..

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Dingh megha

12 days ago

in the 4th question, only one employee is supposed to be idle,
the 3mins taken in the first steps corresponds to employee working on ice cream, whereas the next 7 minutes are free for the employee who was working the burger at 10:00..so should the answer come to 7..
considering only one employee?

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Dingh megha

12 days ago

in simpler terms which employee had 3 mins idle and which employee had 7 mins idle??