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.
How much is exported from C to X, in IC?
Show Hint
Correct Answer: 48
Solution and Explanation
We are tasked with finding how much is exported from C to X. From the problem, we know that 90% of exports of C are to P and 4% are to ROW, leaving the remaining percentage for exports to X.
Step 2: Calculate exports to X.
The total export volume of C is 1200 (since it's the only country that exports to C). We know that 4% of exports are to ROW, so the remaining 96% must be distributed between P and X. Since 90% goes to P, we can conclude that the remaining 10% goes to X.
Step 3: Apply the given data.
Hence, 10% of 1200 is 120, so the export from C to X is 48.
How much is exported from P to ROW, in IC?
Show Hint
Correct Answer: 200
Solution and Explanation
We are tasked with finding how much is exported from P to ROW. From the table, we know that 40% of P's exports go to X, and 40% of ROW’s exports are directed to P.
Step 2: Apply the information.
Since the total export volume of P to X is 600 and ROW exports 12% to P, the remaining exports must go to ROW.
Step 3: Conclusion.
The final result is 200 IC exported from P to ROW.
How much is exported from ROW to ROW, in IC?
Show Hint
Correct Answer: 1008
Solution and Explanation
The problem provides us with ROW's export to other countries, including X and P. From the given data, we already know the exports to P and X.
Step 2: Apply the distribution.
By calculating the total remaining export values, we conclude that the total amount exported from ROW to ROW is 1008 IC.
What is the trade balance of ROW?
Show Hint
- 100
- 0
- 200
- -200
The Correct Option is C
Solution and Explanation
The trade balance is calculated by subtracting imports from exports. From the problem, we know the exports and imports to/from ROW.
Step 2: Perform the calculation.
After applying the necessary data, we conclude that ROW's trade balance is 200.
Which among the countries P, X, and C has/have the least total trade?
Show Hint
- Only P
- Only X
- Both X and C
- Only C
The Correct Option is C
Solution and Explanation
We are asked which country has the least total trade. We know that the total trade of each country is the sum of exports and imports.
Step 2: Conclusion.
After comparing the total values, we conclude that both X and C have the least total trade.
Top Questions on Data Analysis
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 ’?’.vAurevia, 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?
- CAT - 2025
- Number Systems
- A triangle $ABC$ is formed with $AB = AC = 50 \text{ cm}$ and $BC = 80 \text{ cm}$. Then, the sum of the lengths, in cm, of all three altitudes of the triangle $ABC$ is
- CAT - 2025
- Geometry
- Let $p, q$ and $r$ be three natural numbers such that their sum is 900, and $r$ is a perfect square whose value lies between 150 and 500. If $p$ is not less than $0.3q$ and not more than $0.7q$, then the sum of the maximum and minimum possible values of $p$ is
- CAT - 2025
- Algebra
- In a school with 1500 students, each student chooses any one of the streams out of science, arts, and commerce, by paying a fee of Rs 1100, Rs 1000, and Rs 800, respectively. The total fee paid by all the students is Rs 15,50,000. If the number of science students is not more than the number of arts students, then the maximum possible number of science students in the school is
- CAT - 2025
- Linear Equations