Question:

Leena, Nitin, Arun and Mohan crossed a lake in a canoe that could hold only two persons. The Canoe held two persons on each of three forward trips across the lake and one person on each of two return trips. Leena was unable to paddle when someone else was in the canoe with her. Nitin was unable to paddle when anyone else except Arun was in the canoe with him. Each person paddle continuously for at least one trip. Who paddled twice?

Updated On: Sep 1, 2025
  • Leena
  • Nitin
  • Mohan
  • Arun
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

The problem requires finding out who paddled the canoe twice while ensuring specific conditions are met for each person's paddling abilities and restrictions. Let's consider the requirements and analyze the situation:
  1. For each forward trip, two persons are needed, while for each return trip, only one person is needed.
  2. Leena can't paddle with anyone else in the canoe.
  3. Nitin can only paddle with Arun.
  4. Each person must paddle at least once.
Breaking down the problem step-by-step, let's analyze potential forward and return scenarios:
  1. Forward Trip 1: Consider Nitin and Arun paddle to the other side (since Nitin can only paddle with Arun, this configuration meets the condition).
  2. Return Trip 1: Arun returns alone (ensuring he can paddle back alone).
  3. Forward Trip 2: Arun and Mohan cross next (Mohan hasn't paddled yet, fulfilling his requirement).
  4. Return Trip 2: Arun comes back alone again.
  5. Forward Trip 3: Finally, Arun and Leena cross (Leena is unable to paddle when someone else is present, so this can only be achieved if Arun is the one paddling).

In the above plan, Arun paddles twice on both the return trips, fulfilling all paddling conditions:

  • Each of the individuals paddled at least once—Nitin and Mohan on a forward trip, Leena on her trip, and Arun during multiple trips.
  • The constraints of Nitin and Leena were satisfied, as Nitin paddled only with Arun, and Leena did not paddle when someone else was with her.
Conclusion: Since Arun is the only person who paddled twice, the answer is Arun.
Was this answer helpful?
0
0

Top Questions on Puzzle

View More Questions