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For The Mathematically Inclined

Anil Saigal
07/29/2015

Problem #1

What is the surface area of the cone?

Problem #2

Evaluate.
3P2

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Problem #1

If you ask old Ursula how many cats she has at home, she answers sadly: "Four-fifths of my cats plus four-fifths of a cat." How many cats does this add up to?

Problem #2

A seaside resort along the Pacific Ocean is equipped with an electronic shark detection system which sounds an alarm on the average of 1 day out of 30. There are 10 times more false alarms than there are undetected sharks. We also know that only three out of four sharks are detected. Given the above information, what is the percentage of "peaceful" resort days if that term is defined as days unmarred by alarms or sharks?

Congratulations to Suhas Joglekar, who was the winner of last set of puzzles.

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