Problem of the Week
for the week of March 13, 2006

Fourteen Questions

Each of the 14 questions below is answered by a different whole number from 1 to 14.   Can you figure out which number goes with each question?

  1. How many of these questions have an answer that isn't a perfect square?
  2. How many of these questions, if their answers were considered atomic numbers, would represent elements that end in the letter M?
     
  3. How many of these questions have an answer that couldn't be the length of one side of a right triangle, if each side's length is an integer?
  4. How many of these questions have an answer that could be the third side of a triangle if the other two sides' lengths are 8 and 10?
     
  5. How many of these questions have an answer that divides evenly into 27,720?
  6. How many of these questions have an answer that divides evenly into another answer?
     
  7. How many of these questions have an answer that divides evenly into the sum of all the answers?
  8. How many of these questions have an answer that, if converted to a binary number, is not a palindrome?
     
  9. How many of these questions have an answer that is a rational number?
  10. How many of these questions have an answer that is a perfect cube?
     
  11. How many of these questions have an answer that is a perfect number?
  12. How many of these questions have an answer that is both an odd prime and less than the average of all the answers?
     
  13. How many of these questions have an answer that is divisible by both 2 and 7?
  14. How many of these questions have an answer whose factorial ends in 0?
     



Send your solution by Friday 4:00 PM to:
David Pleacher


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