Comprehension

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.

Question: 1

What is the sum of Travel Costs for all travelers in Zentars?

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The total Travel Cost for each traveler is the sum of their Flight Cost and the amount spent in each country.
Updated On: Jul 4, 2026
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Correct Answer: 41000

Solution and Explanation

Step 1: Derive the exchange rates from Kira, who is reported twice, Aurevia says her Travel Cost is \(8000\) Aurels, Brelosia says \(4000\) Brins. Since both describe the same Zentar amount, \(1\) Zentar \(=0.5\) Aurels \(=0.25\) Brins.
Step 2: Convert Jano's figure: \(3500\) Aurels \(\div 0.5 = 7000\) Zentars.
Step 3: Convert Lian's figure: Crown/Zentar \(=2\) (given), so \(36000\) Crowns \(\div 2 = 18000\) Zentars.
Step 4: Kira's own figure converts to \(8000 \div 0.5 = 16000\) Zentars (matches \(4000 \div 0.25\)). Sum all three: \(7000+16000+18000=41000\).
\[ \boxed{41000 \text{ Zentars}} \]
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Question: 2

How many Zentars did Lian spend in the two countries he visited?

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When calculating total expenditures, subtract the known fixed costs (like Flight Cost) from the total amount.
Updated On: Jul 4, 2026
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Correct Answer: 13000

Solution and Explanation

Step 1: The Cyrenia citizen states Lian's Travel Cost as \(36000\) Crowns. Using Crown/Zentar \(=2\) (given), this converts to \(36000\div2=18000\) Zentars.
Step 2: Lian's Flight Cost is the one left over after Kira takes \(6000\), so Lian's Flight Cost \(=5000\) Zentars.
Step 3: Travel Cost is Flight Cost plus spend, so spend \(=\) Travel Cost \(-\) Flight Cost \(=18000-5000=13000\) Zentars.
\[ \boxed{13000 \text{ Zentars}} \]
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Question: 3

What was Jano’s total spend in the two countries he visited, in Aurels?

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Always subtract the known costs like Flight Costs from the total and apply the exchange rates carefully to convert to the desired currency.
Updated On: Jul 4, 2026
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Correct Answer: 1500

Solution and Explanation

Step 1: The Aurevia citizen gives Jano's full Travel Cost directly as \(3500\) Aurels.
Step 2: Jano's Flight Cost is \(4000\) Zentars; using the derived rate \(1\) Zentar \(=0.5\) Aurels, this is \(4000\times0.5=2000\) Aurels.
Step 3: Total spend in Aurels \(=\) Travel Cost \(-\) Flight Cost \(=3500-2000=1500\).
\[ \boxed{1500 \text{ Aurels}} \]
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Question: 4

One Brin is equivalent to how many Crowns?

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Use the given exchange rates to convert between different currencies.
Updated On: Jul 2, 2026
  • 0.5
  • 4
  • 0.125
  • 8
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The Correct Option is D

Solution and Explanation

Approach: Skip the algebra – route both currencies through their Zentar value and divide. The only thing to establish is the Brin–Zentar rate.

Given: $1\text{ Crown}=0.5\text{ Zentars}$. The same Kira trip appears as $8000$ Aurels (Aurevia citizen) and $4000$ Brins (Brelosia citizen). Jano's $3500$-Aurel Travel Cost over a $4000$-Zentar flight forces $1\text{ Aurel}=2$Z (so $3500$ Aurels $=7000$Z).

Step 1 – Brins in Zentars. Kira's one trip $=8000$ Aurels $=8000\times2=16000$Z, and the same trip $=4000$ Brins. Therefore $1\text{ Brin}=\dfrac{16000}{4000}=4$ Zentars.

Step 2 – Divide. A Brin is worth $4$Z and a Crown only $0.5$Z, so a Brin buys $\dfrac{4}{0.5}=8$ Crowns. \[1\text{ Brin}=\mathbf{8\text{ Crowns}}\]

Quick sanity check: a Crown is the weakest currency here ($0.5$Z) and a Brin the strongest ($4$Z), so a large multiplier like $8$ is exactly what we expect. Answer $=\mathbf{8}$.
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Question: 5

Which of the following statements is NOT true about money spent in the local currency?

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Verify the given data against the problem conditions to identify the false statements.
Updated On: Jul 2, 2026
  • Lian spent 2000 in Cyrenia
  • Kira spent 1000 in Aurevia
  • Jano spent 2000 in Aurevia
  • Jano spent 2000 in Cyrenia
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The Correct Option is C

Solution and Explanation

Approach: Use the two global counters – “exactly two $1000$s and exactly one $3000$” – as a filter, then check the options against the filled grid.

Given spends (local currency): Brelosia is fixed – Kira $2000$ Brins, Lian $3000$ Brins. That $3000$ is the one-and-only $3000$ in the whole puzzle, so nobody else can spend $3000$. The two $1000$ spends must therefore sit somewhere in Aurevia/Cyrenia.

Step 1 – Place the two $1000$s. Jano's Aurevia Travel Cost ($3500$ Aurels $=7000$Z) minus his $4000$Z flight leaves $3000$Z, which splits as $1000$ Aurels (Aurevia) $+\,2000$ Crowns (Cyrenia). Kira's Aurevia spend works out to $1000$ Aurels. Those are exactly the two $1000$s – quota filled. Lian's Cyrenia spend is then $2000$ Crowns.

Step 2 – Final grid. Jano: Aurevia $1000$, Cyrenia $2000$. Kira: Aurevia $1000$, Brelosia $2000$. Lian: Brelosia $3000$, Cyrenia $2000$.

Step 3 – Scan the four claims. Lian–Cyrenia $2000$ ✓; Kira–Aurevia $1000$ ✓; Jano–Cyrenia $2000$ ✓; Jano–Aurevia is $1000$, so “Jano spent $2000$ in Aurevia” is the false one.

Statement NOT true: $\mathbf{Jano\ spent\ 2000\ in\ Aurevia}$.
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