CAT 2017: Logical Reasoning Course Overview Venkatesan IIMB Alumnus
Who am I? e Venkatesan S MBA IIM Bangalore B.E. - College of Engineering Guindy Cleared CAT in 2015 - First Attempt Received calls from all IMs and converted. Educator since April 2018
What are all my other Courses? Time, Speed & Distance, Time & Work, Averages, Mixtures & Alligations, e Logical Reasoning. e Data Interpretation, What to expect from B-Schools, Percentages, Many Strategy Lessons . CAT 2018
Logical Reasoning . Slot 1 Type Burgers/Fries Easy Children Survey Projects Venn Diagram Difficult Difficulty Level | # questions Possible Attempts Easy Difficult 1-2 1-2
Logical Reasoning .Slot 2 Type Chess Pizza Dorms Tea Difficulty Level Moderate Easy Moderate Moderate | # questions Possible Attempts 3-4 3-4 2-3
99+%ile-> 35-38 marks
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
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
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.: 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.: 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 Order Time 10:00 10:05 10:07 Fries 5 (3 portions) 5 (2 portions) 5 (1 portions) Total Time 10:10 10:10 Burger Ice-cream 10 10
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 The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out- of school before completing primary education:
Question No.:1 What percentage of kids from S were studying in P? A) 37% B) 6% C) 79% D) 56%
Question No.: 4 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
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.: 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
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.: 4 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
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 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
Team SE T1 T2 T3 T4 T5 RE Total Question No.: 17 4 4 4 Between two successive months, the composition of the teams changes as follows: 0 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 Team SE T1 T2 T3 T4 T5 RE Total 4 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 0 4
Month 1 Team SE T1 T2 T3 T4 T5 RE Total 4 Question No.: 17 Between two successive months, the composition of the teams changes as follows: 4 0 4 4 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 Month2 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 4 4
44445 44201 00244 12345 44544 44454 43112 43202 01432 01252 12345 12345 54444 45444 11234 31223 43210 14221 12345 12345
44445 44201 00244 12345 44544 44454 43112 43202 01432 01252 12345 12345 54444 45444 11234 31223 43210 14221 12345 12345
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
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
(i) A and B are In the same row or column (ii) A is at a lower height than B (ii) If there is/are any individuals (s) between A and B, such individual(s) must be at a height lower than that of A Thus in the table given above, consider the Individual seated at height 8 on 3rd row and 2nd column. He can be reached by four individuals. He can be reached by the individual on his left at height 7, by the two individuals on his right at heights of 4 and 6 and by the individual above at height 5. Rows in the layout are numbered from top to bottom and columns are numbered from left to right.
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.: 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
Applicants for the doctoral programme of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET). The test has three sections: Physics (P), Chemistry (C), and Maths (M). Among those appearing for CET, those at or above the 80th percentile in at least two sections, and at or above the 90th percentile overall, are selected for Advanced Entrance Test (AET) conducted by AIE. AET is used by AlE for final selection. For the 200 candidates who are at or above the 90th percentile overall based on CET, the following are known about their performance in CET: 1. No one is below the 80th percentile in all 3 sections. 2. 150 are at or above the 80th percentile in exactly two sections. 3. The number of candidates at or above the 80th percentile only in P is the same as the number of candidates at or above the 80th percentile only in C. The same is the number of candidates at or above the 80th percentile only in M. 4. Number of candidates below 80th percentile in P: Number of candidates below 80th percentile in C: Number of candidates below 80th percentile in M-4:2:1.
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.