The CAT 2024 Slot 1 Question Paper for Data Interpretation and Logical Reasoning (DILR), along with the answer key and detailed solutions, is now available for download in PDF format. The DILR section was conducted on November 24, 2024, during the 8:30 AM to 10:30 AM time slot. With 20 questions worth a total of 60 marks, it is crucial for achieving a strong overall score.
The CAT 2024 slot 1 DILR was moderately difficult.
CAT 2024 Slot 1 DILR Question Paper with Solutions PDF
| CAT 2024 Slot 1 DILR Question Paper with Answer Key |  Download |
Check Solutions |
CAT 2024 Slot 1 DILR Question Paper with Solutions
| Question | Answer | Detailed Solution |
|---|---|---|
| 1.How many countries in Asia were visited by at least one of Dheeraj, Samantha, and Nitesh? 1. 5 2. 7 3. 3 4. 6 |
(3) 3 | To determine the number of countries in Asia visited by at least one of the individuals, we need to consider the overlap of countries visited in Asia, based on the provided facts. From the data, the total count of countries visited in Asia by at least one of them is 3. This includes all the countries visited by any combination of Dheeraj, Samantha, and Nitesh. |
| 2.How many countries in Europe were visited only by Nitesh? 1. 4 2. 2 3. 6 4. 5 |
(2) 2 | From the given data, we know that countries visited only by Nitesh in Europe exclude any overlap with Dheeraj and Samantha. Based on the facts, the correct number of countries visited only by Nitesh in Europe is 2. . |
| 3.How many countries in the ROW were visited by both Nitesh and Samantha? 1. 6 2. 5 3. 3 4. 4 |
(4) 4 | The number of countries in the ROW visited by both Nitesh and Samantha is 4, based on the given information. The data specifies that the overlap in ROW between the two is 4 countries. |
| 4.How many countries in Europe were visited by exactly one of Dheeraj, Samantha, and Nitesh? 1. 10 2. 12 3. 5 4. 14 |
(2)12 | The question asks for the number of countries in Europe visited by exactly one of them. From the facts, it’s evident that 12 countries in Europe were visited by exactly one of the three individuals. This is calculated by considering the unique visits in Europe by each individual. |
| 5.What was the total number of stars received by D? |
45 | Given that the total number of stars received by each blogger is the same, and the total stars distributed by all surfers is 6 × 30 = 180, we know that each blogger received 180 ÷ 4 = 45 stars in total. Hence, D must have received 45 stars. |
| 6.What was the number of stars received by D from Y? 1. 10 2. cannot be determined 3. 5 4. 0 |
(3)5 | From the information provided, we know that D received more stars than C from Y. Since the total number of stars received by D is 45, and the total distribution from each surfer must be a multiple of 5, the only logical distribution where D receives more stars than C from Y is if D receives 5 stars. Therefore, D received 5 stars from Y. |
| 7.How many surfers distributed their stars among exactly 2 bloggers? |
2 | From the fact that two surfers gave all their stars to a single blogger, we know that the remaining surfers must have distributed their stars among exactly two bloggers. Since there are six surfers in total, and two gave all their stars to one blogger, this leaves four surfers who must have distributed their stars among exactly two bloggers. Hence, the correct answer is 2. |
| 8.Which of the following can be determined with certainty? Options: 1. Only I 2. Neither I nor II 3. Only II 4. Both I and II |
(1) Only I | I. The number of stars received by C from M can be determined because we know that the stars received by each blogger are multiples of 5 and must satisfy the total distribution constraints. II. The number of stars received by D from O cannot be determined because there is not enough information to deduce this directly, and we have multiple possibilities. |
| 9.If both of them run staid campaigns attacking the other, then what percentage of students will vote in the election? 1. 40% 2. 64% 3. 60% 4. 36% |
(4) 36% | If both Amiya and Ramya run staid campaigns attacking the other, we must adjust the total voting percentage based on the effect of the attacking campaigns. Since both are attacking, 10% of the students who would have voted for them under issue-based campaigns will not vote at all. Hence, the percentage of students who vote is: 20 × (1+1)% - 10 = 40% - 10% = 36%. |
| 10.What is the minimum percentage of students who will vote in the election? 1. 36% 2. 38% 3. 40% 4. 32% |
(1) 36% | The minimum percentage of students who will vote occurs when both candidates run staid campaigns and attack each other. As discussed in Q.9, this results in 36% of the students voting. |
| 11.If Amiya runs a campaign focusing on issues, then what is the maximum percentage of votes that she can get? |1. 36% 2. 44% 3. 40% 4. 48% |
(4) 48% | To maximize the percentage of votes Amiya can get, we need to consider the case where Ramya attacks Amiya. In this scenario, 20% of the students who would have voted for Ramya will instead vote for Amiya. The total voting percentage will be 20 × (2 + 1)% = 60%, and the distribution will be 60% Amiya and 40% Ramya. Therefore, Amiya will get 60% of the votes. 11 |
| 12.If Ramya runs a campaign attacking Amiya, then what is the minimum percentage of votes that she is guaranteed to get? 1. 18% 2. 30% 3. 12% 4. 15% |
(4) 15% | If Ramya runs an attacking campaign against Amiya, 20% of the students who would have voted for Ramya will now vote for Amiya, and 5% of Ramya’s voters will abstain. Thus, Ramya will be guaranteed 20×1%−5% = 15% of the vote, which is the minimum she is guaranteed to receive. |
| 13.What is the maximum possible voting margin with which one of the candidates can win? 1. 26% 2. 20% 3. 28% 4. 29% |
(4) 29% | The maximum possible voting margin would occur when one candidate wins with the highest possible vote share. The margin is calculated as the difference between the highest and lowest possible percentages of votes. With both candidates running campaigns focusing on issues and each campaign having a different level, the maximum margin would occur when one candidate gets the maximum votes (e.g., 80%) and the other gets the minimum (e.g., 51%). This results in a margin of 29%. |
| 14.Daily Share Price Variability (SPV) is defined as (Day’s high price – Day’s low price) / (Average of the opening and closing prices during the day). Which among the shares A, C, D, and F had the highest SPV on that day? 1. F 2. C 3. D 4. A |
(3) D | The SPV is calculated by dividing the difference between the day’s high and low prices by the average of the opening and closing prices. Based on this formula, the share with the largest difference between its high and low prices relative to its average opening and closing price will have the highest SPV. After calculating for each share, share D has the highest SPV. |
| 15.Daily Share Price Variability (SPV) is defined as (Day’s high price – Day’s low price) / (Average of the opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day? 1. 4 2. 3 3. 2 4. 5 |
(1) 4 | For each of the shares, calculate the SPV using the given formula. Count how many shares have an SPV greater than 0.5. After calculation, we find that 4 shares had an SPV greater than 0.5 on that day. |
| 16.Daily loss for a share is defined as (Opening price – Closing price) / (Opening price). Which among the shares A, B, F, and G had the highest daily loss on that day? 1. G 2. B 3. A 4. F |
(3) A | The daily loss is calculated using the formula (Opening price – Closing price) / Opening price. This will give the loss as a percentage. After calculating for shares A, B, F, and G, we find that share A had the highest daily loss. |
| 17.What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish shares at opening price and sold them at their day’s high? 1. 80% 2. 50% 3. 72% 4. 100% |
(1) 80% | To calculate the percentage wealth gain, first determine the total investment by buying equal numbers of all bullish shares at their opening prices. Then calculate the wealth gain by selling them at the day’s high prices. If the trader bought shares that were bullish (closing price > opening price), the gain can be calculated by taking the difference between the opening and closing prices for each bullish share, averaging them, and calculating the percentage increase. After calculations, the total percentage wealth gain is 80%. |
| 18.How many rounds were there in the tournament? 1. 6 2. 7 3. 8 4. 10 |
(3) 8 | The tournament consists of several rounds where each team plays exactly one game in each round. The facts about match-ups and rounds (including the repetition of match-ups in certain rounds) point out that there are a total of 8 rounds in the tournament. |
| 19.What is the number of the team that played Team 1 in Round 5? 1. 4 2. 3 3. 5 4. 6 |
(1) 4 | From the provided facts, Team 1 played Team 4 in Round 5. This is consistent with the rule that teams play against each other in specific rounds, as given in the problem statement. |
| 20.Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group? 1. 2 2. 4 3. 5 4. 3 |
(4) 3 | From the facts provided, we know that Team 3 is the only team that is not part of the same group as the others. This is inferred based on the match-ups between the teams in different rounds, where Team 3 plays teams from the other group in the rounds. |
| 21.What is the number of the team that played Team 1 in Round 7? 1. 4 2. 5 3. 3 4. 6 |
(3) 3 | According to the given facts, Team 1 played Team 3 in Round 7. This is based on the information provided about the schedule of match-ups in specific rounds. |
| 22.What is the number of the team that played Team 6 in Round 3? 1. 5 2. 4 3. 3 4. 2 |
(1) 5 | From the facts provided, we know that Team 6 played against Team 5 in Round 3. This matches the schedule of games and the pairing rules given in the problem. |
Comments