ThinkCAT Logo
ThinkCAT
Official DILR Archive• Official Answer Keys

CAT 2018 Slot 1 • Data Interpretation & Logical Reasoning

Official DILR Section Past Paper Questions with Official IIM Keys & LaTeX Step-by-Step Solutions

32 Total Questions
MCQ: 24 (+3 / -1)
TITA: 8 (0 Negative Penalty)
Attempt DILR Section in Timed 40-Min ModeInteractive Practice
Exam Hall Replica

Attempt under official TCS iON 40-Min countdown timer

Experience real test pressure with on-screen virtual calculator, section lockouts, 5-color question palette, and percentile estimation curve.

Launch Mock Simulator

Official Exam Questions & Explanations (25 of 32)

Sorted in official convenor sequence
Question 1 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsHard
Caselet / Problem Set Context•~165 words
Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes X,Y,X, Y, and ZZ. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
1
Three students are from XX, three are from YY, and the remaining two students, both female, are from ZZ.
2
Both the male students from YY minor in Finance, while the female student from YY majors in Operations.
3
Only one male student majors in Operations, while three female students minor in Marketing.
4
One female and two male students major in Finance.
5
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
6
Barun is from YY and majors in Operations. Chetan is from XX and majors in Finance.
7
Daisy minors in Operations.
Who are the students from the institute ZZ?
Practice More Questions
Question 2 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsHard
Caselet / Problem Set Context•~165 words
Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes X,Y,X, Y, and ZZ. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
1
Three students are from XX, three are from YY, and the remaining two students, both female, are from ZZ.
2
Both the male students from YY minor in Finance, while the female student from YY majors in Operations.
3
Only one male student majors in Operations, while three female students minor in Marketing.
4
One female and two male students major in Finance.
5
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
6
Barun is from YY and majors in Operations. Chetan is from XX and majors in Finance.
7
Daisy minors in Operations.
Which subject does Deb minor in?
Practice More Questions
Question 3 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsHard
Caselet / Problem Set Context•~165 words
Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes X,Y,X, Y, and ZZ. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
1
Three students are from XX, three are from YY, and the remaining two students, both female, are from ZZ.
2
Both the male students from YY minor in Finance, while the female student from YY majors in Operations.
3
Only one male student majors in Operations, while three female students minor in Marketing.
4
One female and two male students major in Finance.
5
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
6
Barun is from YY and majors in Operations. Chetan is from XX and majors in Finance.
7
Daisy minors in Operations.
Which subject does Amit major in?
Practice More Questions
Question 4 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsHard
Caselet / Problem Set Context•~165 words
Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes X,Y,X, Y, and ZZ. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
1
Three students are from XX, three are from YY, and the remaining two students, both female, are from ZZ.
2
Both the male students from YY minor in Finance, while the female student from YY majors in Operations.
3
Only one male student majors in Operations, while three female students minor in Marketing.
4
One female and two male students major in Finance.
5
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
6
Barun is from YY and majors in Operations. Chetan is from XX and majors in Finance.
7
Daisy minors in Operations.
If Chitra majors in Finance, which subject does Bandita major in?
Practice More Questions
Question 5 of 32
CAT 2018 Slot 1DILRLogical Reasoning • Math PuzzlesModerate
Caselet / Problem Set Context•~59 words
An ATM dispenses exactly Rs. 50005000 per withdrawal using 100100, 200200 and 500500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.
In how many different ways can the ATM serve a customer who gives 500500 rupee notes as her preference?
TITA Answer:
Practice More Questions
Question 6 of 32
CAT 2018 Slot 1DILRLogical Reasoning • Math PuzzlesModerate
Caselet / Problem Set Context•~59 words
An ATM dispenses exactly Rs. 50005000 per withdrawal using 100100, 200200 and 500500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.
If the ATM could serve only 1010 customers with a stock of fifty 500500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 1010 who could have given 500500 rupee notes as their preferences?
TITA Answer:
Practice More Questions
Question 7 of 32
CAT 2018 Slot 1DILRLogical Reasoning • Math PuzzlesModerate
Caselet / Problem Set Context•~59 words
An ATM dispenses exactly Rs. 50005000 per withdrawal using 100100, 200200 and 500500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.
What is the maximum number of customers that the ATM can serve with a stock of fifty 500500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 2020 notes per withdrawal?
Practice More Questions
Question 8 of 32
CAT 2018 Slot 1DILRLogical Reasoning • Math PuzzlesModerate
Caselet / Problem Set Context•~59 words
An ATM dispenses exactly Rs. 50005000 per withdrawal using 100100, 200200 and 500500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.
What is the number of 500500 rupee notes required to serve 5050 customers with 500500 rupee notes as their preferences and another 5050 customers with 100100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?
Practice More Questions
Question 9 of 32
CAT 2018 Slot 1DILRLogical Reasoning • GridsEasy
Caselet / Problem Set Context•~85 words
You are given an n×nn \times n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.
What is the minimum number of different numerals needed to fill a 3×33\times 3 square matrix?
TITA Answer:
Practice More Questions
Question 10 of 32
CAT 2018 Slot 1DILRLogical Reasoning • GridsEasy
Caselet / Problem Set Context•~85 words
You are given an n×nn \times n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.
What is the minimum number of different numerals needed to fill a 5×55 \times 5 square matrix?
TITA Answer:
Practice More Questions
Question 11 of 32
CAT 2018 Slot 1DILRLogical Reasoning • GridsEasy
Caselet / Problem Set Context•~85 words
You are given an n×nn \times n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.
Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5×5 matrix?
Practice More Questions
Question 12 of 32
CAT 2018 Slot 1DILRLogical Reasoning • GridsEasy
Caselet / Problem Set Context•~85 words
You are given an n×nn \times n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.
Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×55 \times 5 square matrix?
Practice More Questions
Question 13 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~110 words
Fuel contamination levels at each of 20 petrol pumps P1,P2,…,P20P1, P2, \ldots, P20 were recorded as either high, medium, or low.
1
Contamination levels at three pumps among P1−P5P1 - P5 were recorded as high.
2
P6P6 was the only pump among P1−P10P1 - P10 where the contamination level was recorded as low.
3
P7P7 and P8P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
4
High contamination levels were not recorded at any of the pumps P16−P20P16 - P20.
5
The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.
Which of the following MUST be true?
Practice More Questions
Question 14 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~110 words
Fuel contamination levels at each of 20 petrol pumps P1,P2,…,P20P1, P2, \ldots, P20 were recorded as either high, medium, or low.
1
Contamination levels at three pumps among P1−P5P1 - P5 were recorded as high.
2
P6P6 was the only pump among P1−P10P1 - P10 where the contamination level was recorded as low.
3
P7P7 and P8P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
4
High contamination levels were not recorded at any of the pumps P16−P20P16 - P20.
5
The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.
What best can be said about the number of pumps at which the contamination levels were recorded as medium?
Practice More Questions
Question 15 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~110 words
Fuel contamination levels at each of 20 petrol pumps P1,P2,…,P20P1, P2, \ldots, P20 were recorded as either high, medium, or low.
1
Contamination levels at three pumps among P1−P5P1 - P5 were recorded as high.
2
P6P6 was the only pump among P1−P10P1 - P10 where the contamination level was recorded as low.
3
P7P7 and P8P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
4
High contamination levels were not recorded at any of the pumps P16−P20P16 - P20.
5
The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.
If the contamination level at P11 was recorded as low, then which of the following MUST be true?
Practice More Questions
Question 16 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~110 words
Fuel contamination levels at each of 20 petrol pumps P1,P2,…,P20P1, P2, \ldots, P20 were recorded as either high, medium, or low.
1
Contamination levels at three pumps among P1−P5P1 - P5 were recorded as high.
2
P6P6 was the only pump among P1−P10P1 - P10 where the contamination level was recorded as low.
3
P7P7 and P8P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
4
High contamination levels were not recorded at any of the pumps P16−P20P16 - P20.
5
The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.
If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?
Practice More Questions
Question 17 of 32
CAT 2018 Slot 1DILRData Interpretation • Other ChartsEasy
Caselet / Problem Set Context•~124 words
The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarterwise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December) of that year.
What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?
Practice More Questions
Question 18 of 32
CAT 2018 Slot 1DILRData Interpretation • Other ChartsEasy
Caselet / Problem Set Context•~124 words
The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarterwise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December) of that year.
In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?
Practice More Questions
Question 19 of 32
CAT 2018 Slot 1DILRData Interpretation • Other ChartsEasy
Caselet / Problem Set Context•~124 words
The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarterwise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December) of that year.
During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?
Practice More Questions
Question 20 of 32
CAT 2018 Slot 1DILRData Interpretation • Other ChartsEasy
Caselet / Problem Set Context•~124 words
The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarterwise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December) of that year.
During which month was the percentage increase in sales from the previous month’s sales the highest?
Practice More Questions
Question 21 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~153 words
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:
  1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
  2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
  3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.
Based on the given information, which of the following statements MUST be FALSE?
Practice More Questions
Question 22 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~153 words
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:
  1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
  2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
  3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.
What is the number of bureaucrats in the administration committee?
TITA Answer:
Practice More Questions
Question 23 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~153 words
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:
  1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
  2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
  3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.
What is the number of educationalists in the research committee?
TITA Answer:
Practice More Questions
Question 24 of 32
CAT 2018 Slot 1DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~153 words
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:
  1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
  2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
  3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.
Which of the following CANNOT be determined uniquely based on the given information?
Practice More Questions
Question 25 of 32
CAT 2018 Slot 1DILRData Interpretation • Venn DiagramsModerate
Caselet / Problem Set Context•~134 words
1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:
  1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.
  2. The number of satellites serving all three of B, C, and S is 100.
  3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.
  4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B.
What best can be said about the number of satellites serving C?
Practice More Questions

+ 7 More Official Questions in this Bank

Practice all 32 questions in interactive study mode with instant solution checks, bookmarking, and timer analytics.

Practice All 32 Questions
Free Aspirant Community

Join 2,400+ CAT Aspirants WhatsApp Study Circle

Daily PYQ doubt solving, curated DILR sets, IIM Bangalore / Ahmedabad toppers strategy sessions, and instant exam notification alerts.

Join WhatsApp VIP Group
ThinkCAT Pro Season PassSpecial Offer ₹49

Unlock 27 Full-Length CAT CBT Mocks & AI Percentile Engine

Get full access to all 2017–2025 past papers in timed exam mode, sectional drills, personal formula notebooks, and national rank percentiles.

Upgrade to Pro (₹49)

Frequently Asked Questions about CAT 2018 Slot 1 • Data Interpretation & Logical Reasoning

How many questions were asked in CAT 2018 Slot 1 DILR?

CAT 2018 Slot 1 DILR contained 20 questions. All questions carry +3 for correct answers, -1 for wrong MCQs, and 0 for TITA.

What was the difficulty level of CAT 2018 Slot 1 DILR?

According to student response metrics and expert analysis, this section had a solid mix of moderate and high-difficulty conceptual questions. View the detailed solutions above for ideal question selection strategy.

Can I practice other sections of CAT 2018 Slot 1?

Yes! You can explore the full paper or switch directly to DILR, VARC, or QA using the related sectional links below.

Related CAT Papers & Topic Mastery Hubs

Explore other slots, sections, and high-weightage topic collections

View Full Archive
Full Paper

CAT 2018 Slot 1 Full Question Paper

All 2018 DILR

CAT 2018 DILR All Slots Hub

VARC Section

CAT 2018 Slot 1 VARC

QA Section

CAT 2018 Slot 1 QA

Slot 2 DILR

CAT 2018 Slot 2 DILR