CAT 2025 LRDI Slot 3 Paper
Q. 1 Instructions
Seven children, Aarav, Bina, Chirag, Diya, Eshan, Farhan, and Gaurav, are sitting in a circle facing inside (not necessarily in the same order) and playing a game of ‘Passing the Buck’.
The game is played over 10 rounds. In each round, the child holding the Buck must pass it directly to a child sitting in one of the following positions:
• Immediately to the left;
• Immediate to the right;
• Second to the left; or
• Second to the right.
The game starts with Bina passing the Buck and ends with Chirag receiving the Buck. The table below provides some information about the pass types and the child receiving the Buck. Some information is missing and labelled as ‘?’.
Who is sitting immediately to the right of Bina?
Check Solution
Ans: B
To be published
Q. 2 Who is sitting third to the left of Eshan?
Check Solution
Ans: C
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Q. 3 For which of the following pass types can the total number of occurrences be uniquely determined?
Check Solution
Ans: C
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Q. 4 For which of the following children is it possible to determine how many times they received the Buck?
Check Solution
Ans: D
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Q. 5 Instructions
Aurevia, Brelosia, Cyrenia and Zerathania are four countries with their currencies being Aurels, Brins, Crowns, and Zentars, respectively. The currencies have different exchange values. Crown’s currency exchange rate with Zentars = 0.5, i.e., 1 Crown is worth 0.5 Zentars.
Three travelers, Jano, Kira, and Lian set out from Zerathania visiting exactly two of the countries. Each country is visited by exactly two travelers. Each traveler has a unique Flight Cost, which represents the total cost of airfare in traveling to both the countries and back to Zerathania. The Flight Cost of Jano was 4000 Zentars, while that of the other two travelers were 5000 and 6000 Zentars, not necessarily in that order. When visiting a country, a traveler spent either 1000, 2000 or 3000 in the country’s local currency. Each traveler had different spends (in the country’s local currency) in the two countries he/she visited. Across all the visits, there were exactly two spends of 1000 and exactly one spend of 3000 (in the country’s local currency).
The total “Travel Cost” for a traveler is the sum of his/her Flight Cost and the money spent in the countries visited.
The citizens of the four countries with knowledge of these travels made a few observations, with spends measured in their respective local currencies:
i. Aurevia citizen: Jano and Kira visited our country, and their Travel Costs were 3500 and 8000, respectively.
ii. Brelosia citizen: Kira and Lian visited our country, spending 2000 and 3000, respectively. Kira’s Travel Cost was 4000.
iii. Cyrenia citizen: Lian visited our country and her Travel Cost was 36000.
What is the sum of Travel Costs for all travelers in Zentars?
Check Solution
Ans: 41000
To be published
Q. 6 How many Zentars did Lian spend in the two countries he visited?
Check Solution
Ans: 13000
To be published
Q. 7 What was Jano’s total spend in the two countries he visited, in Aurels?
Check Solution
Ans: 1500
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Q. 8 One Brin is equivalent to how many Crowns?
Check Solution
Ans: A
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Q. 9 Which of the following statements is NOT true about money spent in the local currency?
Check Solution
Ans: A
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Q. 10 Instructions
Anirbid, Chandranath, Koushik, and Suranjan participated in a puzzle solving competition. The competition comprised 10 puzzles that had to be solved in the same sequence, i.e., a competitor got access to a puzzle as soon as they solved the previous puzzle. Some of the puzzles were visual puzzles and the others were number-based puzzles. The winner of the competition was the one who solved all puzzles in the least time.
The following charts describe their progress in the competition. The chart on the left shows the number of puzzles solved by each competitor at a given time (in minutes) after the start of the competition. The chart on the right shows the number of visual puzzles solved by each competitor at a given time (in minutes) after the start of the competition.
Who had solved the largest number of puzzles by the 20-th minute from the start of the competition?
Check Solution
Ans: B
The plot on the left depicts a step function for each participant, where the vertical value at any given time ‘t’ represents the cumulative number of puzzles successfully solved by that participant up to minute ‘t’.
To determine the participant who completed the most puzzles by the 20th minute, draw a vertical line at the 20-minute mark on the horizontal axis (or observe the height of each participant’s colored step graph at the x=20 line).
Examining the four graphs at the t=20 point:
* Koushik’s graph (green) reaches the highest vertical position at t=20.
* Chandranath’s (yellow) and Anirbid’s (red) graphs are at lower levels compared to Koushik’s at this time.
* Suranjan’s graph (blue) is at the lowest vertical level among the four at t=20.
As Koushik’s completed puzzle count surpasses that of all other participants at t=20, Koushik has solved the maximum number of puzzles by the 20th minute.
Therefore, the correct option is B.
Q. 11 How many minutes did Suranjan take to solve the third visual puzzle in the competition?
Check Solution
Ans: 2
By examining the first and second charts, we can deduce the nature of the challenges.
The second chart indicates there are a total of 4 visually-oriented challenges, which implies there are 6 numerically-based challenges.
Let’s trace the green line across both charts:
According to the second chart, Green finished the first visually-oriented challenge in 2 minutes. Looking at the first chart at the 2-minute mark, Green solved challenge number 1. Therefore, challenge 1 is a visually-oriented one.
The second visually-oriented challenge was completed by Green in 12 minutes, as seen in the second chart. In the first chart, at the 12-minute mark, Green solved challenge number 4. Thus, challenge 4 is a visually-oriented challenge.
Green completed the third visually-oriented challenge in 25 minutes, as indicated by the second chart. Consulting the first chart at the 25-minute mark, Green solved challenge number 8. Consequently, challenge 8 is a visually-oriented challenge.
The fourth visually-oriented challenge was finished by Green in 29 minutes, according to the second chart. In the first chart, at the 29-minute mark, Green solved challenge number 9. Hence, challenge 9 is a visually-oriented challenge.
We can therefore conclude that challenges 1, 4, 8, and 9 are visually-oriented, while challenges 2, 3, 5, 6, 7, and 10 are numerically-based.
The third visually-oriented challenge is number 8. The duration taken by Suranjan (represented by the blue line) to complete this, the 8th challenge, can be determined as follows:
Time taken by Suranjan to solve the 8th challenge (from the first chart) = 28 minutes – 26 minutes = 2 minutes.
Therefore, the answer is 2.
Q. 12 At what number in the sequence was the fourth number-based puzzle?
Check Solution
Ans: 6
By examining the first and second charts, we can deduce the nature of the puzzles.
The second chart indicates a total of 4 puzzles requiring visual interpretation, leaving 6 puzzles that are number-based.
Let’s trace the green progression in both charts:
According to the second chart, Green finished the first visually-oriented puzzle in 2 minutes. In the first chart, at the 2-minute mark, Green completed puzzle 1. This suggests that puzzle 1 is a visual-based puzzle.
Green completed the second visually-oriented puzzle in 12 minutes, as shown in the second chart. The first chart reveals that at the 12-minute mark, Green solved puzzle 4. Therefore, puzzle 4 is a visual-based puzzle.
Green finished the third visually-oriented puzzle in 25 minutes, according to the second chart. Referring to the first chart at the 25-minute mark, Green solved puzzle 8. This implies that puzzle 8 is a visual-based puzzle.
Green concluded the fourth visually-oriented puzzle in 29 minutes, as indicated by the second chart. In the first chart, at the 29-minute mark, Green solved puzzle 9. Thus, puzzle 9 is a visual-based puzzle.
We can therefore classify puzzles 1, 4, 8, and 9 as visual-based, and puzzles 2, 3, 5, 6, 7, and 10 as number-based.
The fourth puzzle of the number-based category is the 6th puzzle in the sequence.
Consequently, the accurate answer is 6.
Q. 13 Which of the following is the closest to the average time taken by Anirbid to solve the number-based puzzles in the competition?
Check Solution
Ans: D
By examining the provided charts, we can ascertain the nature of the puzzles.
The second chart indicates a total of 4 puzzles of a visual nature, leaving 6 puzzles that are number-based.
Let’s trace the progress of the green line across both charts:
The first visual puzzle was finished by Green at the 2-minute mark, according to the second chart. Consulting the first chart at the 2-minute point reveals that Puzzle 1 was completed by Green. Therefore, Puzzle 1 can be identified as a visual-based puzzle.
The second visual puzzle was concluded by Green at the 12-minute mark, as shown in the second chart. Observing the first chart at the 12-minute mark, we see that Puzzle 4 was solved by Green. This suggests Puzzle 4 is a visual-based puzzle.
The third visual puzzle was finished by Green at the 25-minute mark, according to the second chart. In the first chart, at the 25-minute point, Puzzle 8 was solved by Green. Hence, Puzzle 8 can be classified as a visual-based puzzle.
The fourth visual puzzle was completed by Green at the 29-minute mark, as indicated by the second chart. Referring to the first chart at the 29-minute mark, we find that Puzzle 9 was solved by Green. Thus, Puzzle 9 is also a visual-based puzzle.
We can deduce that puzzles 1, 4, 8, and 9 are categorized as visual-based. Conversely, puzzles 2, 3, 5, 6, 7, and 10 are identified as number-based.
To calculate the average duration Anirbid spent on the number-based puzzles:
Duration for the first number-based puzzle (Puzzle 2) from the first chart = 9 minutes – 4 minutes = 5 minutes.
Duration for the second number-based puzzle (Puzzle 3) from the first chart = 11 minutes – 9 minutes = 2 minutes.
Duration for the third number-based puzzle (Puzzle 5) from the first chart = 19 minutes – 14 minutes = 5 minutes.
Duration for the fourth number-based puzzle (Puzzle 6) from the first chart = 22 minutes – 19 minutes = 3 minutes.
Duration for the fifth number-based puzzle (Puzzle 7) from the first chart = 27 minutes – 22 minutes = 5 minutes.
Duration for the sixth number-based puzzle (Puzzle 10) from the first chart = 37 minutes – 33 minutes = 4 minutes.
Average $=\ \dfrac{5\ +\ 2\ +\ 5\ +\ 3\ +\ 5\ +\ 4}{6}\ =\ \dfrac{24}{6}\ =\ 4$ minutes.
The average time Anirbid invested in solving the number-based puzzles is 4 minutes.
Therefore, the correct selection is option D.
Q. 14 Instructions
Three countries — Pumpland (P), Xiland (X) and Cheeseland (C) — trade among themselves and with the (other countries in) Rest of World (ROW). All trade volumes are given in IC (international currency). The following terminology is used:
• Trade balance = Exports – Imports
• Total trade = Exports + Imports
• Normalized trade balance = Trade balance / Total trade, expressed in percentage terms
The following information is known.
1. The normalized trade balances of P, X and C are 0%, 10%, and -20%, respectively.
2. 40% of exports of X are to P. 22% of imports of P are from X.
3. 90% of exports of C are to P; 4% are to ROW.
4. 12% of exports of ROW are to X, 40% are to P.
5. The export volumes of P, in IC, to X and C are 600 and 1200, respectively. P is the only country that exports to C.
How much is exported from C to X, in IC?
Check Solution
Ans: 48
To be published
Q. 15 How much is exported from P to ROW, in IC?
Check Solution
Ans: 200
To be published
Q. 16 How much is exported from ROW to ROW, in IC?
Check Solution
Ans: 1008
To be published
Q. 17 What is the trade balance of ROW?
Check Solution
Ans: D
To be published
Q. 18 Which among the countries P, X, and C has/have the least total trade?
Check Solution
Ans: C
To be published
Q. 19 Instructions
Anu, Bijay, Chetan, Deepak, Eshan, and Faruq are six friends. Each of them uses a mobile number from exactly one of the two mobile operators – Xitel and Yocel. During the last month, the six friends made several calls to each other. Each call was made by one of these six friends to another. The table below summarizes the number of minutes of calls that each of the six made to (outgoing minutes) and received from (incoming minutes) these friends, grouped by the operators. Some of the entries are missing.
It is known that the duration of calls from Faruq to Eshan was 200 minutes. Also, there were no calls from:
i. Bijay to Eshan,
ii. Chetan to Anu and Chetan to Deepak,
iii. Deepak to Bijay and Deepak to Faruq,
iv. Eshan to Chetan and Eshan to Deepak.
What was the duration of calls (in minutes) from Bijay to Anu?
Check Solution
Ans: 50
To be published
Q. 20 What was the total duration of calls (in minutes) made by Anu to friends having mobile numbers from Operator Yocel?
Check Solution
Ans: 525
To be published
Q. 21 What was the total duration of calls (in minutes) made by Faruq to friends having mobile numbers from Operator Yocel?
Check Solution
Ans: 350
To be published
Q. 22 What was the duration of calls (in minutes) from Deepak to Chetan?
Check Solution
Ans: A
To be published