Multiple Choice
Identify the choice that best
completes the statement or answers the question.
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1.
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Given the following situation:
• the universal set U = {positive
integers less than 20}
• X = {4, 5, 6, 7, 8}
• P = {prime numbers of
U}
• O = {odd numbers of U}
Which statement describes
O¢?
A. | the set of even numbers of U | B. | the set of odd numbers of
U | C. | the set of odd, prime numbers of U | D. | the set of even,
prime numbers of U |
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2.
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Consider the following Venn diagram of herbivores and carnivores:  Determine H È C. A. | {moose, rabbit, deer, squirrel} | B. | {bear, raccoon, badger} | C. | {cougar,
wolf} | D. | {moose, rabbit, deer, squirrel, bear, raccoon, badger, cougar,
wolf} |
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3.
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Consider the following Venn diagram of foods we eat raw or cooked:  Determine n( H È
C).
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4.
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Consider the following two sets:
• A = {1, 2, 3, 4, 5, 6, 7, 8,
9, 10, 11, 12}
• B = {–9, –6, –3, 0, 3, 6, 9, 12}
Determine
n(A È B).
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5.
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Consider the following two sets:
• A = {1, 2, 3, 4, 5, 6, 7, 8,
9, 10, 11, 12}
• B = {–9, –6, –3, 0, 3, 6, 9, 12}
Determine
A Ç B.
A. | {3, 6, 9, 12} | B. | {0, 3, 6, 9, 12} | C. | {1, 2, 4, 5, 7, 8,
10, 11} | D. | {–9, –6, 6, 9} |
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6.
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A summer camp offers canoeing, rock climbing, and archery. The following Venn
diagram shows the types of activities the campers like.  Use the diagram to
determine n(( R È C) \ A).
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7.
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A summer camp offers canoeing, rock climbing, and archery. The following Venn
diagram shows the types of activities the campers like.  Use the diagram to
determine n(( R Ç A) \ C).
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8.
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Some table games use a board, dice, or cards, or a combination these. The
following Venn diagram shows the number of games that use these tools.  Use
the diagram to determine n( D È B) ¢.
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9.
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What is a conclusion?
A. | the result of a hypothesis | B. | an assumption | C. | a
decision | D. | the answer to a statement |
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10.
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What is true about the conditional statement below?
“If tomorrow is
Monday, then today is Sunday.”
A. | The statement and contrapositive are true but the inverse and converse are
false. | B. | The inverse and contrapositive are true but the statement and converse are
false. | C. | The converse and inverse are true but statement and contrapositive are
false. | D. | The statement, converse, inverse, and contrapositive are all true.
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Short Answer
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1.
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If you draw a card at random from a standard deck of cards, you will draw a card
that is either red (R) or black (B). The card will also either be a number card
(N) or a face card (F). Determine n(B Ç
N).
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2.
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A music school offers lessons on 12 different instruments. | piano | bagpipe | guitar | | recorder | accordion | clarinet | | violin | flute | xylophone | | trumpet | steel drum | banjo | | | |
Determine the number of instruments that are played with sticks or
have a mouthpiece ( P È M).
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3.
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Verify the conditional statement below or disprove it with a
counterexample.
“If Mother’s Day is this month, then it is May.”
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Problem
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1.
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The card game Uno has cards divided into 4 colours: red, blue, green, and
yellow. For each colour, there are 19 number cards and 6 action cards. There are also 8 special black
action cards.
Determine the following amounts.
a) n(D), the total number
of cards in the deck
b) n(A), the total number of action cards in the
deck
c) n(G), the total number of green cards in the deck
d)
n(N), the total number of number cards in the deck
e) n(A
È G)
f ) n(G Ç N)
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2.
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A group of 50 tourists can choose between visiting the Aero Space Museum of
Calgary, the Calgary zoo, or Glenbow Museum.
• 27 went to the Aero Space Museum, 29
went to the zoo, and 33 went to Glenbow Museum.
• 44 went to at least one museum but not the
zoo.
• 9 went to Glenbow Museum only.
• 11 went to all three attractions.
How
many tourists went to only two attractions? Use a Venn diagram in your answer.
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