Math 301                                                                                  Name:

Quiz 1

  1. Determine if each statement is true or false. (Don't just write "T" or "F", write "True" or "False".) Then explain how you determined this. 
    1. 0 is even.



 


 

    1. Every natural number is a rational number.



 

 

 

 


 

    1. $-3$is prime.



 

  1. Find two statements $A$ and $B$ so that the statement "$A$ or $B$" is true. (Note: you should avoid using statements like "I have a cat" because I have know way of knowing if you do. Make sure I can independently verify the truth of your statements.)



 


 

  1. Prove: If $a$ and $b$ are integers and $a|b$ then $3a|6b.$