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For The Mathematically Inclined

Anil Saigal


What is  the area of the largest semicircle that can be inscribed in the unit square?

A perfect square has length n if its last n (decimal) digits are the same and non-zero.  What is the maximum possible length?


Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-031314 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

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Problems from 02/27/14

I have ten boxes which I want to pack into crates. Each crate can carry a maximum of 25 kg. But I only have three crates, and the total weight of the boxes is 75kg:

15 kg, 13kg, 11 kg, 10 kg, 9 kg, 8 kg, 4 kg, 2 kg, 2kg, 1 kg

How can I pack the boxes into the crates?

Crate 1:(15kg, 10kg), Crate 2:(13kg, 8kg, 4kg), Crate 3:(11kg, 9kg, 2kg, 2kg, 1kg).

A person drove 120 miles at 40mph, then drove back the same 120 miles at 60mph.What was the average speed for the trip.

48 mph.

Congratulations to Kishore Balsara, Abhimanyu Bhargava, Moushami Katragadda and Aashutosh Soni, who were the winners of the last set of puzzles. Here are two puzzles for one and all!

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