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.
What is the sum of Travel Costs for all travelers in Zentars?
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Correct Answer: 41000
Solution and Explanation
The total Travel Costs for the three travelers are as follows: - Jano: 4000 + 3500 (from Aurevia) = 7500 - Kira: 8000 + 4000 (from Brelosia) = 12000 - Lian: 36000 (from Cyrenia)
Step 2: Sum the Travel Costs.
The sum of Travel Costs is 7500 + 12000 + 36000 = 41000.
How many Zentars did Lian spend in the two countries he visited?
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Correct Answer: 13000
Solution and Explanation
We know that Lian’s total Travel Cost is 36000. Her Flight Cost is 5000, so she must have spent 36000 - 5000 = 31000 in the two countries she visited.
Step 2: Convert to Zentars.
Given the exchange rates, the total amount spent by Lian in the two countries is 13000 Zentars.
What was Jano’s total spend in the two countries he visited, in Aurels?
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Correct Answer: 1500
Solution and Explanation
Jano’s total Travel Cost is 7500 Zentars. His Flight Cost is 4000, leaving 3500 for his spend in the two countries.
Step 2: Convert to Aurels.
Since 1 Crown = 0.5 Zentars, Jano’s total spend in the two countries is 1500 Aurels.
One Brin is equivalent to how many Crowns?
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- 0.5
- 4
- 0.125
- 8
The Correct Option is D
Solution and Explanation
We know that 1 Brin is worth 2 Zentars, and 1 Crown is worth 0.5 Zentars. Therefore, 1 Brin equals 8 Crowns.
Which of the following statements is NOT true about money spent in the local currency?
Show Hint
- Lian spent 2000 in Cyrenia
- Kira spent 1000 in Aurevia
- Jano spent 2000 in Aurevia
- Jano spent 2000 in Cyrenia
The Correct Option is C
Solution and Explanation
The statement about Jano spending 2000 in Aurevia is false based on the given data. Jano spent 3500 in total, but not 2000 in Aurevia.
Step 2: Conclusion.
Thus, the false statement is option (3).
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