Logic Puzzle: Silver Bar Daily Rent

Question

On 1st March, Timon arrived in a new city and was looking for a place to stay. He met a landlady who offered to rent her apartment at a reasonable price but wanted him to pay the rent on a daily basis. Timon had a silver bar of 31 inches, and an inch of the silver bar was exactly equal to a day's rent. He agreed to pay an inch of the silver bar towards the daily rent. Timon wanted to make minimum number of pieces of the silver bar but did not want to pay any advance rent. How many pieces did he make?

A.
5
B.
8
C.
16
D.
20
E.
31

Answer

A

Explanation

By cutting the bar into pieces of lengths $1, 2, 4, 8, 16$ inches (binary representation), he can pay any amount from 1 to 31 by making exchanges. Thus, 5 pieces are made.

Accepted Answer

A. By cutting the bar into pieces of lengths $1, 2, 4, 8, 16$ inches (binary representation), he can pay any amount from 1 to 31 by making exchanges. Thus, 5 pieces are made.

Answer

5

Answer

8

Answer

16

Answer

20

Answer

31

Logic Puzzle: Silver Bar Daily Rent

Explanation

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