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Previous Year Question (PYQs)

Five friends $A,B,C,D,E$ travel from Goa to five cities: Chennai, Kolkata, Delhi, Varanasi, Bangalore using bus, train, airplane, car, boat (all distinct). Given: $C\to$ Bangalore by car; $D\to$ by boat; $B\to$ Kolkata by airplane; $E\to$ by train; the Delhi traveler did not use boat; Goa has no bus to Delhi or Chennai. Who traveled to Delhi?




Solution

Modes left after car/boat/airplane/train are bus for $A$. Since bus doesn’t go to Delhi or Chennai, $A\to$ Varanasi. Remaining cities for $D$ and $E$ are Delhi and Chennai; but the Delhi traveler didn’t use boat, so $D$ (boat) cannot be Delhi. Hence $E$ traveled to Delhi.

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