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Anil Saigal
03/18/2010
PROBLEM # 1 Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- Problems from 03/04/10 PROBLEM # 1 PROBLEM #2
There is a number that is 5 times the sum of its digits. What is this number?
PROBLEM #2
I have a miniature Pyramid of Egypt.
It is 4 inches in height. I was invited to display it at an
exhibition. I felt it was too small and decided to build a scaled-up
model of the Pyramid
out of material whose density is (1 / 4) times the density of the
material used for the miniature. I did a "back-of-the-envelope"
calculation to check whether the model would be big enough.
If
the mass (or weight) of the miniature and the scaled-up model are to be
the same, how many inches in height will be the scaled-up Pyramid? Give
your answer to two places of decimal.
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1. No two people can have the same number of hairs
2. No one can have 999 hairs.
3. No one can have more than, or the same number of hairs as, the population of the town
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