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CAT 2026 Slot 2 DILR: Set 1: Set 1 – Currency and Travel Costs with Solutions

5 questions: Q1, Q2, Q3, Q4, Q5. Solve each one here: tap the answer, press Check, then open the solution.

Puzzles

The set

SET 1: CURRENCY AND TRAVEL COSTS
Yuronia, Velsoria, Kytheria and Xandoria use Yurons, Velins, Kythens and Xentars respectively. 1 Kythen = 0.5 Xentars. Three travelers—Rohan, Nisha and Tanya—start from Xandoria and each visits exactly two countries. Each of the three destination countries is visited by exactly two travelers. Each traveler's flight cost (including both onward flights and the return flight) is unique. Rohan's flight cost is 4000 Xentars; the other two flight costs are 5000 and 6000 Xentars, in an unknown order. On each visit, a traveler spends either 1000, 2000 or 3000 units of the local currency. Each traveler's two spends are different. Across all six visits, there are exactly two spends of 1000 and exactly one spend of 3000. Travel Cost = Flight Cost + the Xentar equivalent of the two local-currency spends.
OBSERVATIONS:
(i) Yuronia: Rohan and Nisha visited. Their Travel Costs were 3500 and 8000 Yurons respectively.
(ii) Velsoria: Nisha and Tanya visited, spending 2000 and 3000 Velins respectively. Nisha's Travel Cost was 4000 Velins.
(iii) Kytheria: Tanya visited and her Travel Cost was 36000 Kythens.
Use the observations in the local currency of the country making each observation.

Question 1CAT DILR set

TITA (type the answer) · +3 / 0 · medium

What is the sum of the Travel Costs of all three travelers, expressed in Xentars?

Your answer

Answer and solution

Correct answer: 41000

Solution

Answer: 41000

1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. Add the three verified travel costs: 7000+16000+18000=41000 Xentars.
8. Answer: 41000 Xentars

G Strategy shortcut

Method: Add the three verified travel costs: 7000+16000+18000=41000 Xentars.
Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. Add the three verified travel costs: 7000+16000+18000=41000 Xentars.
8. Answer: 41000 Xentars

G Strategy: Method: Add the three verified travel costs: 7000+16000+18000=41000 Xentars. Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons. 2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars. 3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000. 4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2. 5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins. 6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000. 7. Add the three verified travel costs: 7000+16000+18000=41000 Xentars. 8. Answer: 41000 Xentars

Question 2CAT DILR set

TITA (type the answer) · +3 / 0 · medium

How many Xentars did Tanya spend in the two countries she visited?

Your answer

Answer and solution

Correct answer: 13000

Solution

Answer: 13000

1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. Tanya local spending is 3000×4+2000×0.5=13000 Xentars; her total 18000 minus flight 5000 agrees.
8. Answer: 13000 Xentars

G Strategy shortcut

Method: Tanya local spending is 3000×4+2000×0.5=13000 Xentars; her total 18000 minus flight 5000 agrees.
Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. Tanya local spending is 3000×4+2000×0.5=13000 Xentars; her total 18000 minus flight 5000 agrees.
8. Answer: 13000 Xentars

G Strategy: Method: Tanya local spending is 3000×4+2000×0.5=13000 Xentars; her total 18000 minus flight 5000 agrees. Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons. 2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars. 3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000. 4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2. 5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins. 6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000. 7. Tanya local spending is 3000×4+2000×0.5=13000 Xentars; her total 18000 minus flight 5000 agrees. 8. Answer: 13000 Xentars

Question 3CAT DILR set

TITA (type the answer) · +3 / 0 · medium

What was Rohan's total spend in the two countries he visited, expressed in Yurons?

Your answer

Answer and solution

Correct answer: 1500

Solution

Answer: 1500 (Yurons)

1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. Rohan spends 7000−4000=3000 Xentars. Divide by 2 Xentars per Yuron: 1500 Yurons.
8. Answer: 1500 (Yurons)

G Strategy shortcut

Method: Rohan spends 7000−4000=3000 Xentars. Divide by 2 Xentars per Yuron: 1500 Yurons.
Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. Rohan spends 7000−4000=3000 Xentars. Divide by 2 Xentars per Yuron: 1500 Yurons.
8. Answer: 1500 Yurons

G Strategy: Method: Rohan spends 7000−4000=3000 Xentars. Divide by 2 Xentars per Yuron: 1500 Yurons. Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons. 2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars. 3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000. 4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2. 5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins. 6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000. 7. Rohan spends 7000−4000=3000 Xentars. Divide by 2 Xentars per Yuron: 1500 Yurons. 8. Answer: 1500 Yurons

Question 4CAT DILR set

MCQ · +3 / −1 · medium

One Velin is equal to how many Kythens?

Answer and solution

Correct answer: C

Solution

Answer: C — 8

1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. One Velin=4 Xentars and one Kythen=0.5 Xentar. Therefore 4/0.5=8 Kythens per Velin.
8. Answer: C. 8

G Strategy shortcut

Method: One Velin=4 Xentars and one Kythen=0.5 Xentar. Therefore 4/0.5=8 Kythens per Velin.
Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. One Velin=4 Xentars and one Kythen=0.5 Xentar. Therefore 4/0.5=8 Kythens per Velin.
8. Answer: C. 8

G Strategy: Method: One Velin=4 Xentars and one Kythen=0.5 Xentar. Therefore 4/0.5=8 Kythens per Velin. Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons. 2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars. 3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000. 4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2. 5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins. 6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000. 7. One Velin=4 Xentars and one Kythen=0.5 Xentar. Therefore 4/0.5=8 Kythens per Velin. 8. Answer: C. 8

Question 5CAT DILR set

MCQ · +3 / −1 · medium

Which statement is NOT true about the local-currency spends?

Answer and solution

Correct answer: B

Solution

Answer: B — Rohan spent 2000 in Yuronia

1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. Rohan spends 1000 Yurons, so B saying 2000 is false. A is Nisha 1000 Yurons; C and D are the two 2000-Kythen spends, all true.
8. Answer: B

G Strategy shortcut

Method: Rohan spends 1000 Yurons, so B saying 2000 is false. A is Nisha 1000 Yurons; C and D are the two 2000-Kythen spends, all true.
Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons.
2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars.
3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000.
4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2.
5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins.
6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000.
7. Rohan spends 1000 Yurons, so B saying 2000 is false. A is Nisha 1000 Yurons; C and D are the two 2000-Kythen spends, all true.
8. Answer: B

G Strategy: Method: Rohan spends 1000 Yurons, so B saying 2000 is false. A is Nisha 1000 Yurons; C and D are the two 2000-Kythen spends, all true. Verification: 1. Work in thousands of currency units. Nisha visits Yuronia and Velsoria. Her 2000 Velin spend means her Yuronia spend cannot be 2000; the only 3000 spend is already Tanya's. Thus Nisha spends 1000 Yurons. 2. Nisha's same total cost is 8000 Yurons and 4000 Velins, so one Velin is worth two Yurons. Let one Yuron be y Xentars; then one Velin=2y Xentars. 3. Nisha's spending is 1000y+2000(2y)=5000y and her travel cost is 8000y. Her flight cost is 3000y, hence y is 5/3 or 2 because her flight costs 5000 or 6000. 4. Rohan visits Yuronia and Kytheria. His two spends must be 1000 and 2000 in some order. If Yuronia=1000 and Kytheria=2000, then 3500y=4000+1000y+1000, giving y=2. Reversing the spends gives y=3, incompatible with Nisha. Hence y=2. 5. Therefore Velin=4 Xentars, Nisha flight=6000, Tanya flight=5000. Rohan spends 1000 Yurons and 2000 Kythens. Exactly two 1000 spends are used by Rohan and Nisha, so Tanya spends 2000 Kythens alongside 3000 Velins. 6. Complete check: travel costs are Rohan 7000, Nisha 16000, Tanya 18000 Xentars. Each traveller has different local spend amounts; all six spends have two 1000s, three 2000s and one 3000. 7. Rohan spends 1000 Yurons, so B saying 2000 is false. A is Nisha 1000 Yurons; C and D are the two 2000-Kythen spends, all true. 8. Answer: B

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