# MAT 142 College MATheMATics Exam: Quiz!

84 Questions | Attempts: 502

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• 1.
Five runners (Andy, Beth, Dale, Ella, and Tri) are in a one-mile race.  Beth finished 3 seconds before Dale.  Dale finished 7 seconds after Andy.  Andy finished 5 seconds after Tri.  Tri finished 3 seconds before Ella.  Who finished in second place?
• A.

Andy

• B.

Beth

• C.

Dale

• D.

Ella

• E.

Tri

• 2.
Write a description of the set:  {15, 16, 17, 18, ... }
• A.

All natural numbers greater than 14

• B.

All natural numbers greater than 15

• C.

All rational numbers greater than 14

• D.

The numbers fifteen, sixteen, seventeen, and eighteen

• E.

None of the above

• 3.
Determine if the set is the empty set:  {x such that x < 7 and x > 10}.
• A.

The set is the empty set.

• B.

The set is not the empty set.

• 4.
Determine whether the given statement is true or false:  20 is an element of {14, 16, 18, 20}
• A.

True

• B.

False

• 5.
Determine whether the given statement is true or false:  19 is not an element of {1, 2, 3, ..., 34}
• A.

True

• B.

False

• 6.
Find the cardinal number of the given set:The set of all numbers x such that x is a natural number and 6 < x < 12.
• A.

4

• B.

5

• C.

6

• D.

7

• E.

8

• 7.
Find the cardinal number for the given set:  {2, 6, 10, .. , 42}.
• 8.
Consider the following sets:A = {2, 3, 4, 5, 6}B = {1, 2, 3, 4, 5}Choose the statement below that is true.
• A.

The sets are equal and equivalent.

• B.

The sets are equal but not equivalent.

• C.

The sets are not equal but are equivalent.

• D.

The sets are not equal and not equivalent.

• E.

None of the above.

• 9.
Determine whether the set is finite or infinite:  x such that x is a natural number and x > 119.
• A.

Finite set

• B.

Infinite set

• 10.
Consider the following sets:U = {1, 2, 3, 4, 5, 6, 7}A = {4, 5, 6, 7}B = {3, 4, 7}Find the intersection of the complement of A and the complement of B.
• 11.
Consider the following sets: U = {1, 2, 3, 4, 5, 6, 7} A = {3, 4, 5, 6} B = {3, 4, 7} Find the complement of the union of A and B.
• 12.
Set A contains 4 letters and 7 numbers.  Set B contains 11 letters and 2 numbers.  0 letters and 0 numbers are common to both sets A and B.  Find the number of elements in set A or Set B.
• 13.
Consider the following sets: U = {a, b, c, d, e, f, g, h} A = {a, d, g} B = {b, d, g}C = {b, c, e, f, h} Find the union of the following two intersections:1) the intersection of A and the complement of C2) the intersection of the complement of B and the complement of C
• 14.
A television sells for \$700.  Instead of paying the total amount at the time of the purchase, the same television can be bought by paying \$200 down and \$50 a month for 14 months.  How much is saved by paying the total amount at the time of purchase?
• 15.
Each day a small business owner sells 200 pizza slices at \$2.00 per slice and 85 sandwiches at \$4.00 each.  Business expenses come to \$110 per day.  What is the owner's profit for a ten-day period?
• 16.
A vending machine accepts nickels, dimes, and quarters only.  Exact change is needed to make a purchase.  How many ways can a person with four nickels, three dimes, and two quarters make a 35-cent purchase from the machine?
• 17.
Consider the following sets:Set X = {4,6,9}Set Y = {4,6,9,12}Choose the statement(s) that are true.
• A.

Set X is a subset of Set Y.

• B.

Set X is a proper subset of Set Y.

• C.

Both A and B are true.

• D.

None of the statements are true.

• 18.
Consider the following sets: Set X = {4,7,10,13,16} Set Y = {7,4,10,13,16} Choose the statement(s) that are true.
• A.

Set X is a subset of Set Y.

• B.

Set X is a proper subset of Set Y.

• C.

Both A and B.

• D.

None of the statments are true.

• 19.
A pizza parlor offers mushrooms, onions, and sausage as toppings for the plain cheese base.  How many different types of pizzas can be made?  Assume that you can order a plain cheese pizza, a 1-topping pizza, a 2-topping pizza, or a 3-topping pizza.
• 20.
How many different groups of students can show up for a seminar with an enrollment of 15?
• 21.
A politician has run for office two times.  In the first election 11,240 people voted for him.  In the second election 13,134 people voted for him.  9,349 people voted for him in both elections.  How many people voted for this politician in the first or the second election?
• 22.
A survey of 76 college students was taken to determine where they got the news about what's going on in the world.  Of those surveyed, 38 got the news from newspapers, 31 from television, and 17 from both newspapers and television.  How many got the news from only newspapers?
• 23.
A survey of 76 college students was taken to determine where they got the news about what's going on in the world.  Of those surveyed, 38 got the news from newspapers, 31 from television, and 17 from both newspapers and television.  How many got the news from only television?
• 24.
A survey of 76 college students was taken to determine where they got the news about what's going on in the world.  Of those surveyed, 38 got the news from newspapers, 31 from television, and 17 from both newspapers and television.  How many got the news from newspapers or from television?
• 25.
A survey of 76 college students was taken to determine where they got the news about what's going on in the world.  Of those surveyed, 38 got the news from newspapers, 31 from television, and 17 from both newspapers and television.  How many got the news from neither newspapers nor television?