PRE-TEST IN ABSTRACT ALGEBRA

What is 7 mod 3?

• 1 mod 3
• 2 mod 3
• 3 mod 3
• 0 mod 3

What is the range?

• {-3, -1, 2, 4}
• {0, 4, 7} 
• {0, 4, 4, 7}
• {7, 4, 0}

• -3

• 0

• 1

• -1

A counterexample is ...

• a conclusion based on repeated observation of a pattern

• a hypothesis made given some information on a repeated pattern

• used to disprove a general rule

• used to affirm our initial guess

When a function is one to one and onto, the function is said to be __________.

• bijective

• injective

• surjective

• 
  subjective

Set  Q  contains the letters in the word  SISTER .
 Which of the following is set  Q ?

• Q = { S, T, R }

• Q = { S, I, S, T, E, R }

• Q = { I, E }

• Q = { S, I, T, E, R }

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

• {-4, -3, -2, -1, 0, 1, 2, 3}

• 
  {-4, -3, -2, -1, 1, 2, 3, 4}

• {-3, -2, -1, 1, 2, 3}

• {-4, -3, -2, -1, 1, 2, 3}

How many subsets will this set A= {a, b, c} have ?

• 8

• 3

• 6

• 0

Which of the following numbers is prime?

• 39

• 108

• 98

• 79

The GCF of 24 and 116 is

• 3

• 48

• 8

• 4