DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are as shown below:

Individuals (all of same height) are seated on these platforms. We say an individual A can reach art individual B if all the three following conditions are met:

(i) A and B are In the same row or column

(ii) A is at a lower height than B

(iii) If there is/are any individuals (s) between A and B, such individual(s) must be at a height tower 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.

Questions

Q1) How many individuals in this layout can be reached by just one individual?
A) 3
B) 5
C) 7
D) 8

Q2) 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

Q3) 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

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

Q1: Option (C)
Q2: Option (D)
Q3: Option (C)
Q4: Option (C)

Solutions

Q1
CAT 2017 – Logical Reasoning – Set
As per the table, we can see that 7 individuals can be reached by 7 people.
Option (C)

Q2
CAT 2017 – Logical Reasoning – Set
As per the table, we can see that individuals of height 1mm cannot be reached by anyone.
Option (D)

Q3
CAT 2017 – Logical Reasoning – Set
This can be observed from the table.
Option (3)

Q4
CAT 2017 – Logical Reasoning – Set
This can be observed from the table.
Option (C)

CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
Logical Reasoning – Set 4: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 5: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B
Logical Reasoning – Set 6: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with.
Logical Reasoning – Set 7: 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).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

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 T4 to T2.

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.

Questions

Q1) 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:
A) (2, 1)
B) (1, 0)
C) (0, 0)
D) (1, 1)

Q2)The number of SE in T1 and T5 for the projects in the third month are, respectively:
A) (0, 2)
B) (0, 3)
C) (1, 2)
D) (1, 3)

Q3) 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

Q4) One of the employees named Aneek scored 185 points. Which of the following CANNOT be true?
A) Aneek worked only in teams T1, T2, T3, and T4
B) Aneek worked only in teams T1, T2, T4, and T5
C) Aneek worked only in teams T2, T3, T4, and T5
D) Aneek worked only in teams T1, T3, T4, and T5

Q1: Option (B)
Q2: Option (A)
Q3: Option (B)
Q4: Option (D)

Solutions

From CAT 2017 – Logical Reasoning – Set, we can infer that,
Number of Special Skilled Employees (SE) = 10
Number of Regular Skilled Employees (RE) = 11

Q1
From CAT 2017 – Logical Reasoning – Set, we can infer that,
The composition of T2 remains unchanged in T2 in 3rd and 4th months. The composition for T4 changes constantly.
Option (B)

Q2
From CAT 2017 – Logical Reasoning – Set, we can infer that,
Number of SE in T1 in third month = 0
Number of SE in T5 in third month = 2
Option (A)

Q3
From CAT 2017 – Logical Reasoning – Set, we can infer that,
Money one person earns in a Challenging Project = 200/5 = 40
Money one person earns in a Standard Project = 100/4 = 25
An employee can earn 140 when they work in one Challenging project and 4 Standard Projects = 40 + 25*4 = 140
An employee can earn 170 when they work in 3 Challenging Projects and 2 Standard Projects = 3*40 + 2*25 = 170
An employee can earn 200 when they work in 5 Challenging Projects = 5*40 = 200
So, option (B) does not seem possible

Q4
From CAT 2017 – Logical Reasoning – Set, we can infer that,
Since Aneek secured 185 credits, he has worked in four challenging projects and one standard project.
Option A: Aneek could have worked in T1 in 1st month (in challenging project), T2 in 2nd month (in challenging project), T3 in 3rd month (in challenging project), T4 in 4th month (in challenging project) and 5th month (in standard project). Hence, this is possible.
Option B: Aneek could have worked in T1 in 1st month (in challenging project), T2 in 2nd month (in challenging project), T4 in 3rd month (in standard project), T4 in 4th month (in challenging project) and T5 in 5th month (in challenging project). Hence, this is possible.
Option C: Aneek could have worked in T2 in 1st month (in standard project), T2 in 2nd month (in challenging project), T3 in 3rd month (in challenging project), T4 in 4th month (in challenging project) and T5 in 5th month (in challenging project). Hence, this is possible.
Option D: Aneek could have worked in T1 in 1st month (in challenging project). He can work in T1 or T5 in the 2nd month. In either case, he cannot work in T3 without working in T2 first. If we assume, he worked in T3 in the 1st month, he could not have worked in four teams in the five months. Similarly, we can rule out the other possibilities. Hence, this is the answer.
Option (D) is the right answer.

CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
Logical Reasoning – Set 4: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 5: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B
Logical Reasoning – Set 6: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with.
Logical Reasoning – Set 7: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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DILR – Data Interpretation – Set

The following set contains four questions related to Data Interpretation. Choose the best answer to each question.

Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C). Each of these three parameters is measured on a scale of 0 to 8 (integers only). A country is then categorized based on the total score obtained by summing the scores of ail the three parameters, as shown in the following table:

Following diagram depicts the frequency distribution of the scores in S, F and C of 10 countries – Amda, Benga, Calla, Delma, Eppa, Varsa, Wanna, Xanda, Yanga and Zooma;

Further, the following are known:
1. Amda and Calls jointly have the lowest total score, 7, with identical scores in all the three parameters.
2. Zooma has a total score of 17.
3. All the 3 countries, which are categorised as happy, have the highest score in exactly one parameter.

Questions

Q1) What is Amda’s score in F?

Q2) What is Zooma’s score in S?

Q3) Benga and Delma, two countries categorized as happy, are tied with the same total score. What is the maximum score they can have?
A) 14
B) 15
C) 16
D) 17

Q4) If Benga scores 16 and Delma scores 15, then what is the maximum number of countries with a score of 13?
A) 0
B) 1
C) 2
D) 3

Q1: 1
Q2: 6
Q3: Option (B)
Q4: Option (B)

Solutions

Q1
CAT 2017 – Data Interpretation – Set
As per the above table, we can see that the score of Amda in F is 1

Q2
CAT 2017 – Data Interpretation – Set
As per the table, we can see that Zooma’s score in S is 6.

Q3
CAT 2017 – Data Interpretation – Set
Only two sets are possible, (7,5,3) and (5,4,6). So, the maximum score that can be attained by B and D is 15.
Option (B) is the right answer.

Q4
CAT 2017 – Data Interpretation – Set
If Benga scores 16, then the possibility is (S-5, F-5, C-6). For Delma, the possibility is (S- 7, F-5, C-3)
So, the only possibility for the score of 13 is (S-5, F-5, C-3)
Option (B) is the right answer.

CAT 2017 Questions from Data Interpretation

Data Interpretation – Set 1: At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms.
Data Interpretation – Set 2: An old woman had the following assets: Rs. 70 lakh in bank deposits
Data Interpretation – Set 3: Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.
Data Interpretation – Set 4: There were seven elective courses – El to E7 – running in a specific term in a college.
Data Interpretation – Set 5: Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET).
Data Interpretation – Set 6: 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).

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DILR – Data Interpretation – Set

The following set contains four questions related to Data Interpretation. Choose the best answer to each question.

Applicants for the doctoral programmes 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 AIE 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.

Questions

Q1) 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

Q2) 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?

Q3) If the number of candidates who are at or above the 90th percentile overall and also at or above the 80 th percentile in all three sections in CET is actually a multiple of 5, then how many candidates were shortlisted for the AET for AIE?

Q4) If the number of candidates who are at or above the 90th percentile overall and also are at or above the 80th percentile in P in CET, is more than 100, how many candidates had to sit for the separate test for BIE?
A) 299
B) 310
C) 321
D) 330

Q1: Option (A)
Q4: Option (A)

Solutions

As per CAT 2017 – Data Interpretation – Set, we can see that, 200 candidates scored above 90th percentile overall in CET. Let the following Venn diagram represent the number of persons who scored above 80 percentile in CET in each of the three sections:

From 1, h = 0.
From 2, d + e + f = 150
From 3, a = b = c
We know, there are a total of 200 candidates,
3a + g = 200 – 150 = 50
From 4, (2a + f) : (2a + e) : (2a + d) = 4 : 2 : 1
So, 6a + (d + e + f) is divisible by 4 + 2 + 1 = 7.
Now, since d + e + f = 150, 6a + 150 is divisible by 7, i.e.,
(6a + 3) is divisible by 7.
Hence, a = 3, 10, 17,. . .
Further, since 3a + g = 50, a < 17. Hence, only two values are possible for a, 3 or 10. We can calculate the values of the other variables for the two cases. a = 3 or 10 d = 18 or 10 e = 42 or 40 f = 90 or 100 g = 41 or 20 From the candidates who are at or above 90th percentile, the candidates who are at or above 80th percentile in at least two sections are selected for AET. Hence, the candidates represented by d, e, f and g are selected for AET. BIE will consider the candidates who are appearing for AET and are at or above 80th percentile in P. Hence, BIE will consider the candidates represented by d, e and g, which can be 104 or 80. BIE will conduct a separate test for the other students who are at or above 80th percentile in P. Given that there are a total of 400 candidates at or above 80th percentile in P, and since there are 104 or 80 candidates at or above 80th percentile in P and are at or above 90th percentile overall, there must be 296 or 320 candidates at or above 80th percentile in P who scored less than 90th percentile overall.
Q1
As per CAT 2017 – Data Interpretation – Set, we can see that, the number of candidates sitting for separate test for BIE who were at or above 90th percentile in CET is either 3 or 10.
Option (A)

Q2
As per CAT 2017 – Data Interpretation – Set, we can see that, as per the given condition, g = 5k. Hence, g = 20. The number of candidates at or above 90th percentile overall and at or above 80th percentile in both P and M = e + g = 60.

Q3
As per CAT 2017 – Data Interpretation – Set, we can see that, in this case, g = 20. Number of candidates shortlisted for AET = d + e + f + g = 10 + 40 + 100 + 20 = 170

Q4
As per CAT 2017 – Data Interpretation – Set, we can see that, as per the given condition, the number of candidates at or above 90th percentile overall and at or above 80th percentile in P in CET = 104. The number of candidates who have to sit for separate test = 296 + 3 = 299
Option (A) is the right answer.

CAT 2017 Questions from Data Interpretation

Data Interpretation – Set 1: At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms.
Data Interpretation – Set 2: An old woman had the following assets: Rs. 70 lakh in bank deposits
Data Interpretation – Set 3: Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.
Data Interpretation – Set 4: There were seven elective courses – El to E7 – running in a specific term in a college.
Data Interpretation – Set 5: Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C).
Data Interpretation – Set 6: 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).

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DILR – Data Interpretation – Set

The following set contains four questions related to Data Interpretation. Choose the best answer to each question.

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 (O).

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:

It is also known that:

1. 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.

2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.

3. The number of kids in G in NE was the same as the number of kids in G in W.

Questions

Q1) What percentage of kids from S were studying in P?
A) 37%
B) 6%
C) 79%
D) 56%

Q2) 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

Q3) 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

Q4) 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

Q1: Option (A)
Q2: Option (A)
Q3: Option (A)
Q4: Option (A)

Solutions

As per CAT 2017 – Data Interpretation – Set,
Number of students from NE = 50*150 = 7500
Number of students from W = 50*250 = 12500
Number of students from S = 50*200 = 10000
55% are in G = 16500
37% are in P = 11100
8% did not go to school (O) = 2400

Q1
As per the table deduced from CAT 2017 – Data Interpretation – Set,
Total students in S = 10000
Students from S studying in P = 300 + 3400 = 3700
% = (3700/10000)*100 = 37%
Option (A) is the right answer

Q2
As per the table deduced from CAT 2017 – Data Interpretation – Set,
For W,
Kids whose mothers had completed primary education were not in school = 300
Option (A) is the right answer.

Q3
As per the table deduced from CAT 2017 – Data Interpretation – Set,
Initially, there were 2400 students who were not in school
Now, 1200 of them are in G
The only possibility is 50% of students in W
25% of students in NE
100% of students in S who were not going to school shifted to G.
So, 50% of W = (50/100)*1500 = 750
25% of NE = (25/100)*600 = 150
100% of S = (100/100)*300 = 300
Total = 1200
So, 4200 + 1050 + 750 = 6000 surveyed students were in G in W
Option (A) is the right answer.

Q4
As explained in the previous question, 300 students who were not going to school have now shifted to G.
Of the 5700 students whose mothers had dropped out in the S region, 5400 are in G.
The required percentage = (5400/5700)*100 = 94.7%
Option (A) is the right answer.

CAT 2017 Questions from Data Interpretation

Data Interpretation – Set 1: At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms.
Data Interpretation – Set 2: An old woman had the following assets: Rs. 70 lakh in bank deposits
Data Interpretation – Set 3: Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.
Data Interpretation – Set 4: There were seven elective courses – El to E7 – running in a specific term in a college.
Data Interpretation – Set 5: Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C).
Data Interpretation – Set 6: Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET).

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DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

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;

Questions

Q1) 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

Q2) 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

Q3)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

Q4) 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) 7
B) 10
C) 15
D) 23

Q1: Option (B)
Q2: Option (C)
Q3: Option (A)
Q4: Option (B)

Solutions

Q1
After going through CAT 2017 – Logical Reasoning – Set, we can see that, the order of Client 1 has 1 burger, 3 portions of fries and one ice cream
Start the fries (They will take 5 mins). While the fries are in progress, one of them can make Ice Cream (2 mins) and another can start on Burger. After 5 mins are over, Burger still needs 5 minutes more. So, the order will be prepared in 5 + 5 = 10 mins in total. So, the order will be served at 10:10.

Q2
After going through CAT 2017 – Logical Reasoning – Set, we can see that, the order for client 1 got completed at 10:10.
The order for client will start at 10:10. Fries will take 5 mins and while the fries are getting prepared, Ice cream can be prepared by one of them. So, in total it will take 5 mins to process the order for Client 2.
We will start the order for Client 3 at 10:15. We will start with the fries first, while the fries are being prepared, one of them can start with Burger. Burger takes 10 mins, so after the fries are prepared, it will take additional 5 mins for the burger to get prepared. So, in total in total it will take 10 mins for the processing of the order of Client 3.
By 10:25, order of Client 3 will be prepared.

Q3
This timeline from CAT 2017 – Logical Reasoning – Set will help you understand

The order for Client 2 will be served by 10:10. Even, Client 1 will get its order by 10:10 (because of burger)

Q4
After going through CAT 2017 – Logical Reasoning – Set, we can see that,

As per the timeline, one person will be idle during 2-5, 10-15 and 15-17.
So, 3+5+2 = 10 minutes.
Exactly one person will be idle for 10 minutes.

CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
Logical Reasoning – Set 4: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 5: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B
Logical Reasoning – Set 6: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with.
Logical Reasoning – Set 7: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 8: 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).

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