Logic Puzzles

22. Paying for 7 Days With 2 Cuts

A landlady permitted the students to rent her apartment with the following condition: the student will pay her 7 golden chain for her 7 days stay at her apartment, she is only allowed to cut the chain twice but the student is obliged to pay one chain daily for 7 days. How is it possible?

Added 27 October 2021

Hint:

Think about how to divide the chains to meet the daily payment requirement.

Solution:

The landlady can cut the chain into three pieces: one piece of 1 chain, one piece of 2 chains, and one piece of 4 chains. On each day, the student can pay as follows:

  • Day 1: Pay 1 chain
  • Day 2: Return 1 chain and pay 2 chains (total 2 chains)
  • Day 3: Return 2 chains and pay 4 chains (total 4 chains)
  • Day 4: Pay 1 chain
  • Day 5: Return 1 chain and pay 2 chains (total 2 chains)
  • Day 6: Return 2 chains and pay 4 chains (total 4 chains)
  • Day 7: Pay 1 chain

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