CAT 2024DILRSlot 3 · Evening
CAT 2024 Slot 3 DILR Question Paper with Solutions
40 Minutes22 QuestionsNov 24, 20243 marks correct · −1 wrong
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Passage 1 · CAT2024Slot3_DILR1 · 4 Questions
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The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven foodgrains. The first column shows the foodgrain category and the second column its codename. The table has some missing values
The following additional facts are known.
1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
3. All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non-zero multiples of 5.
4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of 4.
5. P1 contained double the amount of protein that M3 contains
The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven foodgrains. The first column shows the foodgrain category and the second column its codename. The table has some missing values
| Food grain category | Codename of the food grain | Carbohydrate | Protein | Fat | Other nutrients |
|---|---|---|---|---|---|
| Cereal | C1 | 0 | 12 | ||
| Cereal | C2 | 3 | 10 | ||
| Millet | M1 | 62 | 10 | ||
| Millet | M2 | 7 | 16 | ||
| Millet | M3 | 56 | 12 | ||
| Pseudo-cereal | P1 | 66 | 10 | ||
| Pseudo-cereal | P2 | 14 | 8 |
The following additional facts are known.
1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
3. All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non-zero multiples of 5.
4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of 4.
5. P1 contained double the amount of protein that M3 contains
Q1CAT 2024 Slot 3 DILR
View Standalone PageHow many foodgrains had a higher amount of carbohydrate per 100 grams of nutrients than M1?
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Q2CAT 2024 Slot 3 DILR
View Standalone PageHow many grams of protein were there in 100 grams of nutrients in M2?
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Q3CAT 2024 Slot 3 DILR
View Standalone PageHow many grams of other nutrients were there in 100 grams of nutrients in M3?
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Q4CAT 2024 Slot 3 DILR
View Standalone PageWhat is the median of the number of grams of protein in 100 grams of nutrients among these food grains?
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Passage 2 · CAT2024Slot3_DILR2 · 4 Questions
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Out of 10 countries -- Country 1 through Country 10 -- Country 9 has the highest gross domestic product (GDP), and Country 10 has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country 1 through Country 8 for the year 2024.
• Column 1 gives the country's identity.
• Column 2 gives the country’s GDP as a fraction of the GDP of Country 9.
• Column 3 gives the country’s GDP per capita as a fraction of the GDP per capita of Country 10.
• Column 4 gives the country’s annual GDP growth rate.
• Column 5 gives the country’s annual population growth rate.
Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.
Out of 10 countries -- Country 1 through Country 10 -- Country 9 has the highest gross domestic product (GDP), and Country 10 has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country 1 through Country 8 for the year 2024.
• Column 1 gives the country's identity.
• Column 2 gives the country’s GDP as a fraction of the GDP of Country 9.
• Column 3 gives the country’s GDP per capita as a fraction of the GDP per capita of Country 10.
• Column 4 gives the country’s annual GDP growth rate.
• Column 5 gives the country’s annual population growth rate.
| Country | GDP | GDP per capita | GDP growth rate | Population growth rate |
|---|---|---|---|---|
| Country 1 | 0.15 | 0.41 | 0.2% | -0.12% |
| Country 2 | 0.14 | 0.25 | 0.9% | -0.41% |
| Country 3 | 0.13 | 0.02 | 6.5% | 0.70% |
| Country 4 | 0.12 | 0.38 | 0.5% | 0.49% |
| Country 5 | 0.10 | 0.36 | 0.7% | 0.31% |
| Country 6 | 0.08 | 0.08 | 3.2% | 0.61% |
| Country 7 | 0.08 | 0.30 | 0.7% | -0.11% |
| Country 8 | 0.07 | 0.41 | 1.2% | 0.71% |
Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.
Q5CAT 2024 Slot 3 DILR
View Standalone PageWhich one among the countries 1 through 8, has the smallest population in 2024?
Q6CAT 2024 Slot 3 DILR
View Standalone PageThe ratio of Country 4’s GDP to Country 5’s GDP in 2026 will be closest to
Q7CAT 2024 Slot 3 DILR
View Standalone PageWhich one among the countries 1, 4, 5, and 7 will have the largest population in 2027?
Q8CAT 2024 Slot 3 DILR
View Standalone PageFor how many countries among Country 1 through Country 8 will the GDP per capita in 2027 be lower than that in 2024?
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Passage 3 · CAT2024Slot3_DILR3 · 5 Questions
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The figure below shows a network with three parallel roads represented by horizontal lines R-A, R-B, and R-C and another three parallel roads represented by vertical lines V1, V2, and V3. The figure also shows the distance (in km) between two adjacent intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in the figure indicate the total cash requirements of all ATMs placed on the corresponding road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22 Lakhs.
The following additional information is known.
1. The ATMs with the minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are placed on the same road.
2. The road distance between the ATM with the second highest cash requirement and the ATM located at the intersection of R-C and V3 is 12 km.
The figure below shows a network with three parallel roads represented by horizontal lines R-A, R-B, and R-C and another three parallel roads represented by vertical lines V1, V2, and V3. The figure also shows the distance (in km) between two adjacent intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in the figure indicate the total cash requirements of all ATMs placed on the corresponding road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22 Lakhs.
The following additional information is known.
1. The ATMs with the minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are placed on the same road.
2. The road distance between the ATM with the second highest cash requirement and the ATM located at the intersection of R-C and V3 is 12 km.
Q9CAT 2024 Slot 3 DILR
View Standalone PageWhich of the following statements is correct?
Q10CAT 2024 Slot 3 DILR
View Standalone PageHow many ATMs have cash requirements of Rs. 10 Lakhs or more?
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Q11CAT 2024 Slot 3 DILR
View Standalone PageWhich of the following two statements is/are DEFINITELY true?
Statement A: Each of R-A, R-B, and R-C has two ATMs.
Statement B: Each of V1, V2, and V3 has two ATMs.
Statement A: Each of R-A, R-B, and R-C has two ATMs.
Statement B: Each of V1, V2, and V3 has two ATMs.
Q12CAT 2024 Slot 3 DILR
View Standalone PageWhat best can be said about the road distance (in km) between the ATMs having the second highest and the second lowest cash requirements?
Q13CAT 2024 Slot 3 DILR
View Standalone PageWhat is the number of ATMs whose locations and cash requirements can both be uniquely determined?
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Passage 4 · CAT2024Slot3_DILR4 · 5 Questions
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The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature.
If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes.
If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour.
The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night.
The following facts are known about the AC operation that night.
• The AC was turned on for the first time that night at 11 pm (23:00).
• The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at 30 minutes after the hour.
• The AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour period.
The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature.
If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes.
If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour.
The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night.
The following facts are known about the AC operation that night.
• The AC was turned on for the first time that night at 11 pm (23:00).
• The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at 30 minutes after the hour.
• The AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour period.
Q14CAT 2024 Slot 3 DILR
View Standalone PageHow many times the AC must have been turned off between 11:01 pm and 1:59 am?
Q15CAT 2024 Slot 3 DILR
View Standalone PageWhat was the temperature outside, in degree Celsius, at 1 am?
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Q16CAT 2024 Slot 3 DILR
View Standalone PageWhat was the temperature outside, in degree Celsius, at 9 pm?
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Q17CAT 2024 Slot 3 DILR
View Standalone PageWhat best can be concluded about the number of times the AC must have either been turned on or the AC temperature setting been altered between 11:01 pm and 1:59 am?
Q18CAT 2024 Slot 3 DILR
View Standalone PageWhat was the maximum difference between temperature outside and inside temperature, in degree Celsius, between 11:01 pm and 1:59 am?
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Passage 5 · CAT2024Slot3_DILR5 · 4 Questions
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Over the top (OTT) subscribers of a platform are segregated into three categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows the percentage of the total number of subscribers in 2023 and 2024 who belong to the ‘Kid’ and ‘Elder’ categories.
The following additional facts are known about the numbers of subscribers.
1. The total number of subscribers increased by 10% from 2023 to 2024.
2. In 2024, of the subscribers from the ‘Kid’ category and of the subscribers from the ‘Elder’ category subscribers use one app.
3. In 2023, the number of subscribers from the ‘Kid’ category who used multiple apps was the same as the number of subscribers from the ‘Elder’ category who used one app.
4. 10,000 subscribers from the ‘Kid’ category used one app and 15,000 subscribers from the ‘Elder’ category used multiple apps in 2023.
Over the top (OTT) subscribers of a platform are segregated into three categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows the percentage of the total number of subscribers in 2023 and 2024 who belong to the ‘Kid’ and ‘Elder’ categories.
The following additional facts are known about the numbers of subscribers.
1. The total number of subscribers increased by 10% from 2023 to 2024.
2. In 2024, of the subscribers from the ‘Kid’ category and of the subscribers from the ‘Elder’ category subscribers use one app.
3. In 2023, the number of subscribers from the ‘Kid’ category who used multiple apps was the same as the number of subscribers from the ‘Elder’ category who used one app.
4. 10,000 subscribers from the ‘Kid’ category used one app and 15,000 subscribers from the ‘Elder’ category used multiple apps in 2023.
Q19CAT 2024 Slot 3 DILR
View Standalone PageHow many subscribers belonged to the ‘Others’ category in 2024?
Q20CAT 2024 Slot 3 DILR
View Standalone PageWhat percentage of subscribers in the ‘Kid’ category used multiple apps in 2023?
Q21CAT 2024 Slot 3 DILR
View Standalone PageWhat was the percentage increase in the number of subscribers in the ‘Elder’ category from 2023 to 2024?
Q22CAT 2024 Slot 3 DILR
View Standalone PageWhat could be the minimum percentage of subscribers who used multiple apps in 2024?
About CAT 2024 Slot 3 DILR
The DILR section of CAT 2024 Slot 3 was conducted on November 30, 2024, the last Sunday of November — consistent with IIM's scheduling across all recent years. The section contains 24 questions to be answered in 40 minutes, carrying 72 marks in total. There is no sectional time limit within the overall exam, but students choosing to switch sections mid-paper lose the ability to return — making pacing within DILR critical.
Passage Topics in CAT 2024 Slot 3 DILR
CAT 2024 Slot 3 DILR featured four reading comprehension passages and a standalone Verbal Ability block. The RC passages spanned complexity theory and global systems, the aesthetics of electronic music, the economics of income inequality, and the legal history of criminal responsibility — a typical CAT spread across the sciences, humanities, and social sciences. The VA section included Para Jumbles, Para Summary, and Odd Sentence Out questions, consistent with the pattern since CAT 2019.
CAT 2024 DILR Marking Scheme
- Correct answer (MCQ): +3 marks
- Wrong answer (MCQ): −1 mark
- Unattempted (MCQ): 0 marks
- TITA questions (if any): +3 correct, no negative marking
How to Use This Question Paper
Click any answer option to immediately check your answer. The correct option is highlighted in green; if you selected the wrong option, it is shown in red and the correct answer is revealed. A detailed explanation appears below each question after you answer it, along with statistics showing what percentage of students answered correctly in the actual exam.
The question navigator at the top of the page updates in real time — green bubbles indicate correct answers and red indicate wrong. Use this to spot weak areas at a glance. To practice under timed conditions, use the Take Full Mock button to attempt the complete CAT 2024 Slot 3 paper with a live timer and percentile benchmarking.
Tips for CAT DILR Preparation
Reading Comprehension accounts for roughly two-thirds of the DILR section. The passages in CAT are dense and argumentative — they reward close reading of the author's position rather than skimming for facts. Practising on past papers is the most reliable way to calibrate your reading speed, improve inference accuracy, and recognise the types of questions IIM setters favour. Use the answer statistics on this page to benchmark yourself; questions where more than 50% of test-takers answered correctly are ones you should aim to get right every time.