CAT 2017: Logical Reasoning Question 3 Venkatesan IIMB Alumnus

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.: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 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

Team SE T1 T2 T3 T4 T5 RE Total Question No.: 17 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 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 0 4 4

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

Month 2 Team T1 T2 T3 T4 T5 SE RE Total Question No.: 17 Between two successive months, the composition of the teams changes as follows: 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 Month 3 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 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

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44445 44201 00244 12345 44544 44454 43112 43202 01432 01252 12345 12345 54444 45444 11234 31223 43210 14221 12345 12345

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

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 Challenging Total 200 185 170 155 140 Standard 0 4 Standard 100 4 25 4

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.: 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

(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.:1 How many individuals in this layout can be reached by just one individual? A) 3 B) 5 C)7 D) 8 4 6

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 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

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.

Question No.:1 What best can be concluded about the number of candidates sitting for the separate test for BIE who were at or above the 90th percentile overall in CET? A) 3 or 10 B) 10 C) 5 D) 7 or 10

Question No.: 2 If the number of candidates who are at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in CET is actually a multiple of 5, what is the number of candidates who are at or above the 90th percentile overall and at or above the 80th percentile in both P and M in CET? A) 60 B) C) D)

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Venkatesan S

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

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