For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
02/23/2015

Problem #1

1What is the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225?

Problem #2

Assuming the earth earth is spherical with radius r. What is the shortest distance along the surface from point A to point B. Let p1 and p2 be the two longitudes, measured from 0 to 2*pi. Let q1 and q2 be the two latitudes, measured from 0 to pi, where 0=north pole and pi=south pole.

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Solutions from 02/12/2015

Problem #1

How many zeros are on the end of 36!?

Solution:

Problem #2

In how many ways, counting ties, can eight horses cross the finishing line (For example, two horses, A and B, can finish in three ways: A wins, B wins, A and B tie.)

Solution:

Congratulations to Richa Juvekar, who was the winner of the last set of puzzles.

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