For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
04/07/2010

PROBLEM # 1
A and B each have a collection of tennis balls. A said that if B would give him 8 of his balls they would have an equal number; but, if A would give B 8 of his balls, B would have 3 times as many balls as A. How many balls does B have?

PROBLEM #2
A creeper plant is climbing up and around a cylindrical tree trunk in a helical manner. The tree trunk has a height of 240 inches and a circumference of 32 inches. If the creeper covers a vertical distance of 60 inches in one complete twist around the tree trunk, what is the total length of the creeper?

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Problems from 04/01/10

PROBLEM # 1

A block of wood in the form of a cuboid 3" Ã— 7" Ã— 12" has all its six faces painted pink. If the wooden block is cut into 252 cubes of 1" Ã— 1" Ã— 1", how many of these would have pink paint on them?

SOLUTION

202.

PROBLEM #2

Grandpa:
"My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years?"

SOLUTION

72 years.

Congratulations to Aseem Chandawarkar, Sitaram Chandawarkar, Saroj Kumar, Twinkle Morbia and Prabhakar Nadkarni, who were winners of the last set of puzzles.

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