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CMSC 250

Quiz #10

Monday, Nov. 12, 2001

Write all answers legibly in the space provided. The number of points possible for each question is indicated in square brackets - the total number of points on the quiz is 30, and you will have exactly 15 minutes to complete this quiz. You may not use calculators, textbooks or any other aids during this quiz.

1. [10 pnts.] A computer programmer writes 500 lines of computer code in 16 days. Must there have been at least one day when the programmer wrote 30 or more lines of code? Why
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
2. [10 pnts.] Use the fact that $log_bc = \frac{1}{d}$ to simplify the expression as far as possible.
   
   $$a^{log_b(c^d)}$$
   
   

3. [10 pnts.] Prove or give a counter example. If $f:X\rightarrow Y$ and $g:Y\rightarrow Z$ are functions and $g \compose f: X \rightarrow Z$ is onto, must both $f$ and $g$ be onto?

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