CAT 2017 DILR Slot 1 question paper had 8 sets with 4 questions each. The question sets were on Survey of students, burgers, Fries, routes between two cities, flight operations, and square matrix of pillar heights. Data Interpretation questions did not require much calculation. Logical reasoning questions were rated easy-moderate. 12-14 questions of CAT 2017 DILR question paper attempted with 90% accuracy were good to get 99%ile.
Candidates preparing for CAT 2025 can download the CAT DILR question paper with the solution PDF for the Slot 1 exam conducted on November 26, 2017, to get a better idea about the type of questions asked in the paper and the difficulty level of questions.
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CAT 2017 DILR Slot 1 Question Paper with Solution PDF
| CAT 2017 DILR Slot 1 Question Paper with Answer Key | Download PDF | Check Solutions |
Question 1:
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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 fries 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.
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?
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At what time is the order placed by Client 3 completely served?
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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?
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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?
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0 four-year old kids each were sampled from each of the 150 villages from NE, 250 villages 5 from W, and 200 villages from S. It was found that of the 30,000 surveyed kids, 55% studied in primary schools run by government (G), 37% in private schools (P) while 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 in 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.
What percentage of kids from S were studying in P?
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Among the kids in W whose mothers had completed primary education, how many were not in school?
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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?
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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?
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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.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?
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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?
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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, then how many candidates were shortlisted for the AET for AIE?
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If the number of candidates who are at or above the 90th percentile overall and also 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?
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Comprehension: Analyse the graph/s given below and answer the question that follows.
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).
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A country is then categorized based on the total score obtained by summing the scores of all 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 Zoorna:
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. Zoorna has a total score of 17.
3. All the 3 countries, which are categorized as happy, have the highest score in exactly
one parameter.
What is Amda's score in F?
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The given data can be represented in a table as follows:
\[ \begin{array}{|c|c|c|c|} \hline \textbf{Scores} & \textbf{S} & \textbf{F} & \textbf{C}
\hline 0 & 1 & 2 & 1
1 & 2 & 1 & 3
2 & 1 & 3 & 1
3 & 3 & 2 & 4
4 & 3 & 1 & 1
5 & 2 & 3 & 1
6 & 1 & 1 & 1
7 & 1 & 1 & 1
\hline \textbf{Total} & 10 & 10 & 10
\hline \end{array} \]
A and C had a total score of 7, with identical scores in all these parameters. So it can only be 1, 2, and 4 or 3, 3, and 1. As Zoorna has a score of 17, and all three countries in the happy category had the highest score in exactly one parameter, he can only have a 7 in F, 6 in S and 4 in C as a score of 7 in S and 6 in C would be the scores of the other two countries and he cannot have a 7, 7 and 5 as there is no country which scored a 5 in C.
Amda can have a distribution of 3, 3, 1 or 4, 2, 1. In either case, the only possible score of F is 1 as no other parameter has a score of 1 for two countries. Quick Tip: When the total score is given and the scores in each parameter are identical, simply divide the total score by 3 to find the score for each parameter. If the result is not an integer, round to the nearest valid integer.
What is Zooma's score in S?
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Benga and Delma, two countries categorized as happy, are tied with the same total score. What is the maximum score they can have?
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If Benga scores 16 and Delma scores 15, then what is the maximum number of countries with a score of 13?
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ach 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, 25 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: 1. 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. 2. 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 T5 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.The number of times in which the composition of team T2 and the number of times in which composition of team T4 remained unchanged in two successive months are:
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The number of SE in T1 and T5 for the projects in the third month are, respectively:
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Which of the following CANNOT be the total credit points earned by any employee from the projects?
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One of the employees named Aneek scored 185 points. Which of the following CANNOT be true?
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Individuals (all of same height) are seated on these platforms. We say an individual A can reach an 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 individual(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 the 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 30 individual above at height 5. Rows in the layout are numbered from top to bottom and columns are numbered from left to right.
How many individuals in this layout can be reached by just one individual?
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To solve this, we need to look at each individual’s position in the layout and check if they can be reached by exactly one individual based on the given conditions.
Let's check individuals who are reachable by only one person:
1. Individuals who are at the edge of the grid (e.g., in row 1 or column 1), can only be reached by the individual next to them.
2. By following the given conditions, after analyzing the layout, the number of individuals that can be reached by exactly one person is 7.
Thus, the correct answer is:
\boxed{7
Quick Tip: For such problems, focus on individuals located at the boundaries or near boundaries as they have fewer neighbors, making it more likely that they can be reached by only one person.
Which of the following is true for any individual at a platform of height 1 m in this layout?
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We can find two individuals who cannot be reached by anyone in:
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Which of the following statements is true about this layout?
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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. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following:
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.
If the underlying principle is to be satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is:
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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. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following:
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.
Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:
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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. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following:
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.
Suppose the 10 cities are divided into 4 distinct groups 01,02,03,04 having 3, 3, 2, and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following:
1. Both cities are in G1
2. Between A and any city in G2
3. Between B and any city in G3
4. Between C and any city in G4
What is the minimum number of direct flights that need to be scheduled to meet the airline's requirements?
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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. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following:
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.
Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4 having 3, 3, 2, and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following:
1. Both cities are in G1
2. Between A and any city in G2
3. Between B and any city in G3
4. Between C and any city in G4
However, due to operational difficulties at A, it was later decided that the only flights that would operate at A would be those to and from B. Cities in G2 would have to be assigned to G3 or to G4.
What would be the maximum reduction in the number of direct flights as compared to the situation before the operational difficulties arose?
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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, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.
The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.
How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?
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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, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.
The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.
If all the cars follow the police order, what is the difference in travel time (in minutes) between a car which takes the route A-N-B and a car that takes the route A-M-B?
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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, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.
The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.
A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and A-M-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute. Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.
How many cars would the police department order to take the A-M-N-B route so that it is not possible for any car to reduce its travel time by not following the order while the other cars follow the order? (Assume that the police department would never order all the cars to take the same route.)
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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, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.
The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.
A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B, and A-M-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute. Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.
If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)
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CAT 2017 DILR Slot 1 Paper Analysis
CAT 2017 QA Slot 1 was conducted by IIM Lucknow on November 26, 2017. The time for CAT 2017 slot 1 was 9 AM to 12 PM. There were no technical glitches or management problems faced at the test centers.
- Happiness index, matrix, flight operation, etc questions were included. This section of questions was a bit difficult and time-consuming.
- The Logical Reasoning questions were moderately difficult and most of them were solvable.
Follow the table below to understand the complete CAT 2017 DILR Slot 1 Question Paper analysis- distribution of questions and good attempts.
| Topic | Number of Questions | Good Attempt |
|---|---|---|
| Happiness Index - difficult | 4 | 2 |
| Matrix - moderate | 4 | 3 |
| Routes - moderate | 4 | 2 |
| Flight operation - moderate | 4 | 2 |
| Projects - difficult | 4 | 1-2 |
| Burger/Fries - easy | 4 | 4 |
| Children survey - easy | 4 | 4 |
| PCM - difficult | 4 | 1 |
CAT Question Papers of Other Years
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