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EIGHTH ANNUAL MATHEMATICS COMPETITION
 

Summary: EIGHTH ANNUAL
MATHEMATICS COMPETITION
WRITTEN TEST, 25 PROBLEMS / 90 MINUTES
UNIVERSITY OF GEORGIA
OCTOBER 26, 2002
WITH SOLUTIONS
No calculators are allowed on this test. 10 points for a correct
answer, 0 points for an incorrect answer, and 2 points for an answer
left blank.
1. Easy Problems
Problem 1. What is the number of integers between 1 and 1000 that
are not divisible by 2 or 5?
A) 100 B) 200 C) 250 D) 300 E
) 400
Solution. 1000 minus 500 (those divisible by 2) minus 200 (those di-
visible by 5) plus 100 (the ones divisible by 10 we subtracted twice);
equals 400.
Problem 2. Two trains 6 miles apart start running towards each other
with speeds 7 and 5 miles per hour respectively. A fly flies from the
first train to the second, turns around, flies back, turns around, flies to

  

Source: Alexeev, Valery - Department of Mathematics, University of Georgia

 

Collections: Mathematics