Name _______________________________	        SID ______________________
Place your answer to the right of each question. Each problem counts as 1 point.
1.	The following is an example of what?						1. ___C_____

The only people who read books are students.  Marjorie read a book, so she must be a student.

[A] inductive reasoning	[B] sequential reasoning	[C] deductive reasoning	[D] backwards reasoning	

2. Predict the next term of the sequence.  20, 22, 30, 44, 66, 94, …			2. ___D_____
[A] 96	[B] 104	[C] 122	[D] 128	

3. Predict the next term of the sequence.  1, 5, 1, 3, 9, 5, 11, …		3. ___B_____
[A] 17	[B] 7	[C] 6	[D] 11	

4. A sequence has its nth-term formula an = n2  5n.  What is the 5th term of the sequence?	4. ____A____	

 [A] 0	[B] 5	[C] 25	[D] 50	

5. Determine the nth-term formula for the number of square tiles in the nth figure.	5. ___C_____
[A] an = 5n	[B] an = n2  3	[C] an = 3n  2	[D] an = 4n  1	

																								

		a1				a2				a3 

6. A florist has 9 dozen roses.  All of the roses are red or white.  If the florist has 44 more red roses than white roses, how many white roses does he have?	6. ____B____	

[A] 26	[B] 32	[C] 44	[D] 70	

7. At a family gathering, every person hugs every other person once.  If there are 14 people at the gathering, how many hugs will take place?	7. ___A_____	
 (Hint: Let the 14 people be labeled as: A, B, C, …, M, N, O, P.  Make the problem simpler and look for a pattern.)
[A] 91	[B] 98	[C] 182	[D] 196	

8. Determine the digit 35 places to the right of the decimal point in the decimal representation of .	8. ___C_____	
 (Hint: 	Look for a pattern.)
[A] 0	[B] 2	[C] 9	[D] 6	

9. Using the figure below, determine how many direct routes there are from A to B.	9. ___D_____	
 
[A] 3	[B] 6	[C] 10	[D] 12	

					A 

						

							           B

10. The cube of a natural number is 288 more than 10 times the square of a number.  What is the natural number?	10. ___B_____	

(Hint: Write an equation and use Trial and Error.)
[A] 6	[B] 12	[C] 18	[D] 36	

Name _______________________________	        SID ______________________
Place your answer to the right of each question. Each problem counts as 1 point.
1.	Which of the following describes the set {4, 3, 2, 1}			1. ___B_____

[A] The set of integers greater than 5	[B] The set of negative integers greater than 5	
[C] The set of negative integers greater than 4	[D] The set of integers greater than 4	

2. Which of the following is a true statement?	2. ___B_____	

 [A] 6  {1, 2, 5, 7}	[B] 2  I	[C] 3  W	[D] ¼  N	

3. Which of the following is a false statement?	3. ___C_____	

 [A] {2, 1}  {1, 2}	[B] N  W	[C] I  W	[D]   {1, 2}	

4. Which of the following describes the set {x | x  N and x > 4}?	4. __C______	

[A] The set of natural numbers	[B] The set of numbers consisting of 5, 6, and 7	
[C] The set of natural numbers that are greater than 4	[D] The set of numbers that are natural numbers or greater than 4	

5. What is the cardinality of the set {5, 3, 0, 1, 6}?	5. ___B______	

[A] 0	[B] 5	[C] 6	[D] 11	

6. Which is a proper subset of the set {2, 5, 7}?	6. ___C_____	

[A] {2, 5, 7, 9}	[B] {5, 7, 2}	[C] {2}	[D] {3, 4, 6}	

7. How many subsets does the set {a, e, o} have?	7. ____C_____	

[A] 0	[B] 3	[C] 8	[D] 9	

8. Let A = {2, 4, 6, 8} and B = {2, 3, 5, 7}.  What is A  B?	8. ___C_____	

[A] {2,3,4,5,6,7,8}	[B] {3, 8}	[C] {2}	[D] 	

9. A dietician has surveyed 250 faculty members.  The survey results are shown below.
112 faculty members do not eat red meat.
45 faculty members do not eat eggs.
23 faculty members do not eat red meat or eggs.

How many of the faculty members surveyed eat both read meat and eggs?	9. ___D_____	

[A] 23	[B] 70	[C] 93	[D] 116	

10. Given n(A) = 238, n(B) = 124, and n(A  B) = 295, what is n(A  B)?	10. ___B_____	

[A] 57	[B] 67	[C] 409	[D] 657	

Name _______________________________	        SID ______________________
Place your answer to the right of each question. Each problem counts as 2 points.

1. Which sentence is a statement?	1. ___C_____	

[A] Will you get me that wrench?	[B] Please go take a seat.	
[C] Today is Monday.	[D] The new car is blue.	

2. Which is the negation of the statement: “The moon is a full-moon.”	2. ___B_____	

[A] The moon is a half-moon.	[B] The moon is not a full-moon.	
[C] There is no moon.	[D] None of the above.	

3. Which of the following statements is a tautology?	3. ___A_____	

 [A] (p  q)  ~p	[B] ~p  ~q	[C] (~p  q)  p	[D] (~p  q)  ~p	

4. Determine the truth value of the statement below given that p is false, q is true, and r is false.
              (p  ~r)  ~( q  r)	4. ___B_____	

[A] True	[B] False	
[C] True or False	[D] True and False	

5. Which of the following represent your Final Answer column in the truth table for the statement (p  ~q)  [~( p  q)]?	5. ___C_____	

[A] T
      T
      T
      F	[B] T
      T
      F
      T	[C] F
      T
      T
      T	[D] None of the above