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Question 5

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?

Solution

If Timon breaks up the silver bar into five pieces of lengths 1, 2, 4, 8 and 16 inches, he can pay the rent for all 31 days, without having to pay any advance rent. Hence option A is the answer.

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