MAS4214: Test 311/09/2016Question 1Suppose that21x≡14 mod 28, what is the congruence class ofxmodulo4?[2pt]

Question 2Is there an integerxsuch that21x≡13 mod 28? (Justify your answer). [2pt]

Question 3Find an inverse of3modulo13in{1,· · ·,12}. [2pt]

13.Question 4What is the cardinality ofU1300? [2pt]

Question 5Supposegcd(x,1300) = 1andx∈ {0,· · ·,1299}, what isx481mod 1300? [2pt]