1.
QUESTION 1
Item 1 (b) Section 1.5: In order to translate the following statment into English,
where the domain of discourse for each variable consists of all real numbers, which of the
choices must
MA 308 Discrete Mathematics
Unit Test #1 Form A (Fall 2016)
Logic and Elementary Proof
Instructions: This test is closedbook, closedno closed-neighbor. No calculators are necessary
for the completio
1.
QUESTION 1
Item 8(c) Section 1.1
Let p and q be the propositions
p: I bought a lottery ticket this week.
q: I won the million dollar jackpot on Friday.
Express the following proposition as an Engli
1.
QUESTION 1
Section 1.3, Item #7 (a)
Use DeMorgan's laws to find the negation of the statement, "Jan is rich and happy."
A Jan is not rich and happy.
.
B Jan is rich or happy.
.
C It is not the case
1.
QUESTION 1
Section 1.7 Item #1
In order to use direct proof to demonstrate how to show that the sum of two odd integers is
even, you should NOT do which of the following?
A
.
Rewrite the statement
1.
QUESTION 1
Section 2.3, Item 1(b) considers the mapping and associated rule:
A
.
B
.
This mapping is a function from the set of reals into the set of reals since when the
square root is applied to
1.
QUESTION 1
Section 9.1, Item #3(d)
Which of the following is true about the relation provided below on the set cfw_1,2,3,4?
cfw_(1,2),(2,3),(3,4)
A The relation is NOT reflexive because not all of
MA 308 Discrete Mathematics Name
Unit Test #1 Form A (Fall 2016)
Logic and Elementary Proof Date
Page 2
6. [3 @ 4 = 12] Write the statement in the form of If. .-, then .
a. Successful completion o
1.
QUESTION 1 WRONG
1010 11012 - 0011 00112 =
A 1001 11102
.
B 0111 10102
.
C 1110 00002
.
D This difference cannot be calculated because one cannot subtract a 1 digit
. from a 0 digit.
1.
QUESTION 2
1.
QUESTION 1
When attempting to convert 453210 into binary notation by divsion of powers of 2 one
should:
I. consider the largest power of two that will divide 4532 10 being 212 = 409610 and find the
1.
QUESTION 1 WRONG
Section 2.1, Item #6.
Given the sets below, which of the following choices is true?
A B A
.
B C D
.
CA=BC
.
D All of the
.
above.
1.
QUESTION 2
Section 2.1, Item #7(e)
Determine wh
QUESTION 1
1.
Section 1.8, Item #1
To prove the following assertion, which method would be the most appropriate?
N^2 + 1 >= 2^n when n is a positive integer such that 1 <= n <= 4
.
A Exhaustion, showi
MA 308 Discrete Mathematics Name
Unit Test #1 Form A (Fall 2016)
Logic and Elementary Proof Date
Page 3
11. [2 @ 3 = 6] Determine the truth value of each statement if the domain of
discourse is the se