Math 245
Name:
________________________
QUIZ 1
SECTIONS 1.11.3: LOGIC
1)
For each of the following, indicate whether the equivalent "ifthen" form
is "if
p
, then
q
" or "if
q
, then
p
" by marking the appropriate column.
(10 points; 2 points each)
Equivalent to…
If
p
, then
q
If
q
, then
p
a)
p
if
q
_________
_________
b)
p
is necessary for
q
_________
_________
c)
p
is sufficient for
q
_________
_________
d)
p
whenever
q
_________
_________
e)
p
only if
q
_________
_________
2)
Consider the proposition
r
below
"I am going to Disneyland if I pass this class."
a)
Write the converse of the proposition
r
in simple English.
(3 points)
b)
Write the contrapositive of the proposition
r
in simple English.
(3 points)
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3)
Consider the following propositions:
p
: Cartman will have to live with Kenny.
q
: Cartman practices his singing.
r
: Cartman takes singing lessons.
s
: Cartman will win the Cheezy Poofs contest.
Completely rewrite the following proposition using symbolic logic operators
and the propositional variables
p
,
q
,
r
, and
s
:
"If Cartman practices his singing or takes singing lessons, then he will win
the Cheezy Poofs contest and will not have to live with Kenny."
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 Spring '11
 staff
 Math, Logic, Proposition, Cartman

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