Quiz (Introduction to Congruences)

(1) Determine which of the following are true:

    (a)
    
    (b)
    
    (c)
    
    (d)

(2) Find the least residue of modulo given:

    (a)
    
    (b)
    
    (c)
    
    (d)

(3) What is the least residue of modulo What is the least residue of modulo

(4) Show that the following statements are true or determine if they are false by providing a couterexample:   

    (a) if and then
    
    (b) if and then
    
    (c) if and the integers are divisible by then
    
    (d) if then
    
    (e) if then
  
(5) Show that is divisible by and that is divisible by

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Cite this as:
Introduction To Congruences Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/introduction-to-congruences-quiz.html