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;
• Immediately to the right;
• Second to the left;
• 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 ’?’.v
Who is sitting immediately to the right of Bina?
Show Hint
- Eshan
- Chirag
- Aarav
- Farhan
The Correct Option is A
Solution and Explanation
From the table, we know that Bina passes the Buck immediately to the left to Aarav in round 1. Therefore, Eshan is immediately to the right of Bina.
Step 2: Conclusion.
Thus, Eshan is sitting immediately to the right of Bina.
Who is sitting third to the left of Eshan?
Show Hint
- Gaurav
- Divya
- Aarav
- Chirag
The Correct Option is D
Solution and Explanation
Starting from Eshan, moving three seats to the left, we arrive at Chirag.
Step 2: Conclusion.
Thus, Chirag is sitting third to the left of Eshan.
For which of the following pass types can the total number of occurrences be uniquely determined?
Show Hint
- Immediately to the left
- Second to the left
- Immediately to the right
- Second to the right
The Correct Option is C
Solution and Explanation
By analyzing the sequence and the rules of passing the Buck, we observe that "Immediately to the right" is the only pass type that has a fixed pattern and can be determined uniquely.
Step 2: Conclusion.
Thus, the total number of occurrences of the "Immediately to the right" pass type can be uniquely determined.
For which of the following children is it possible to determine how many times they received the Buck?
Show Hint
- Farhan
- Gaurav
- Eshan
- Bina
The Correct Option is B
Solution and Explanation
By analyzing the distribution of the Buck in the game and using the table, we can determine that Gaurav’s positions are consistent, and it is possible to calculate the exact number of times Gaurav received the Buck.
Step 2: Conclusion.
Thus, it is possible to determine how many times Gaurav received the Buck.
Top Questions on Data Analysis
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:
• The normalized trade balances of P, X, and C are 0%, 10%, and–20%, respectively.
• 40%of exports of X are to P. 22% of imports of P are from X.
• 90%of exports of C are to P; 4% are to ROW.
• 12%of exports of ROW are to X, 40% are to P.
• 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.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:
• Aurevia citizen: Jano and Kira visited our country, and their Travel Costs were 3500 and 8000, respectively.
• Brelosia citizen: Kira and Lian visited our country, spending 2000 and 3000, respectively. Kira’s Travel Cost was 4000.
• Cyrenia citizen: Lian visited our country and her Travel Cost was 36000.- The two most populous cities and the non-urban region (NUR) of each of three states, Whimshire, Fogglia, and Humbleset, are assigned Pollution Measures (PMs). These nine PMs are all dis tinct multiples of 10, ranging from 10 to 90. The six cities in increasing order of their PMs are: Blusterburg, Noodleton, Splutterville, Quackford, Mumpypore, Zingaloo.
The Pollution Index (PI) of a state is a weighted average of the PMs of its NUR and cities, with a weight of 50% for the NUR, and 25% each for its two cities.
There is only one pair of an NUR and a city (considering all cities and all NURs) where the PM of the NUR is greater than that of the city. That NUR and the city both belong to Humbleset.
The Pls of all three states are distinct integers, with Humbleset and Fogglia having the highest and the lowest PI respectively. The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers.
The following additional facts are known.
1. Each of the authors wrote at least one of each of the four types of papers.
2. The four authors wrote different numbers of single-author papers.
3. Both Chintan and Devon wrote more three-author papers than Brajen.
4. The number of single-author and two-author papers written by Brajen were the same.The Sustainability Index (SI) of a country at a point in time is an integer between 1 and 100. This question is related to SI of six countries- A, B, C, D, E, and F- at three different points in time– 2016, 2020, and 2024. The plot represents the exact changes in their SI, with X coordinate representing % increase in 2020 from 2016, i.e., (SI in 2020 minus SI in 2016) / (SI in 2016), and Y-coordinate representing % increase in 2024 from 2020. At any point in time, the country with highest SI is ranked 1, while the country with the lowest SI is ranked 6. The following additional facts are known.
1. In 2016, B, C, E, and A had ranks 1, 2, 3, and 4 respectively.
2. F had lower SI than any other country in 2016, 2020, and 2024.
3. In 2024, E was the only country with SI of 90.
4. The range of SI of the six countries was 60 in 2016 as well as in 2024.
Questions Asked in CAT exam
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 to) and received from (incoming minutes from) these friends, grouped by the operators. Some of the entries are missing.
Operator Xitel Operator Yocel
It is known that the duration of calls from Faruq to Eshan was 200 minutes. Also, there were no calls from:
• Bijay to Eshan,
• Chetan to Anu and Chetan to Deepak,
• Deepak to Bijay and Deepak to Faruq,
• Eshan to Chetan and Eshan to Deepak.- A number when divided by 7 leaves a remainder 4 and when divided by 9 leaves a remainder 5. What is the smallest such number greater than 100?
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