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Sample Test
|
3_1___Deductive_Reasoning
1. Write the negation of the statement.
All Squares are rectangles.
|
|
a.
|
No Squares are rectangles.
|
|
|
b.
|
Some Squares are rectangles.
|
|
|
c.
|
Some Squares are not rectangles.
|
|
|
d.
|
Squares are not rectangles.
|
|
|
e.
|
none of these
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.01.20m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
2. Let p : Prices will
rise ; q :
Taxes will rise. Translate the following statement into symbols.
Prices will not rise, and taxes will not rise.
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.28m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
3. Let p : Today is
Friday ; q :
There is homework tonight. Translate the following statement into words.
|
|
a.
|
Today is Friday, and there is no homework tonight.
|
|
|
b.
|
Today is not Friday, and there is homework tonight.
|
|
|
c.
|
Today is Friday, or there is no homework tonight.
|
|
|
d.
|
Today is not Friday, or there is homework tonight.
|
|
|
e.
|
Today is not Friday, and there is no homework tonight.
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.32m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
4. Assume p is T, q is T, and r is F. Find the
truth value for the compound statement:
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.01.37m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
5. Translate the following
statement into symbols.
Dinner includes soup and salad, or the vegetable of the day.
Use p for
soup, d for
salad, and v for
vegetable.
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.48m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
6. Translate the following
statement into symbols.
Marsha finished the sign, or the table and a pair of chairs.
Use s for
sign, t for
table, and c for
chairs.
|
ANSWER:
|
e
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.49m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
7. Assume p is F, q is T, and r is F. Find the truth
value for the compound statement:
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.01.57m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
8. Find the negation of the
statement.
All squares are rectangles.
|
|
a.
|
No squares are rectangles.
|
|
|
b.
|
Some squares are rectangles.
|
|
|
c.
|
Squares are not rectangles.
|
|
|
d.
|
Some squares are not rectangles.
|
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
9. The figure shows some faces
from the “Guess Who?” game. Decide whether the statement is true or false.
There are three faces that have glasses.
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.01.14m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
10. Which of the following are
statements?
|
|
a.
|
6 – 2 = 5
|
|
|
b.
|
John has a wart on the end of his nose.
|
|
|
c.
|
Logic is difficult.
|
|
|
d.
|
Hickory, Dickory, Dock, the mouse ran up the clock.
|
|
|
e.
|
Is John ugly?
|
|
ANSWER:
|
a, b, d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multiple Response
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.01.06m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
11. Assume p is F and q is T. Under
these assumptions, which of the following statements are true?
|
ANSWER:
|
a, c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multiple Response
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.01.33m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
12. Let p: Today is
Friday; q:
There is homework tonight. Translate the following statement into words.
Today __________ Friday __________ there __________
homework tonight.
|
ANSWER:
|
is; and; is
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Completion
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.32
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
13. Let p : Prices will
rise; q :
Taxes will rise. Translate the following statement into symbols.
Prices will rise, or taxes will not rise.
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.28
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
14. Translate the following
statement into symbols.
Dinner includes soup and salad, or the vegetable of the day.
Use p for
soup, d for
salad, and v for
vegetable. Please enter parentheses to indicate the order of operations.
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.48
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
15. Translate the following
statement into symbols.
Marsha finished the sign, or the table and a pair of chairs.
Use s for
sign, t for
table, and c for
chairs. Please enter parentheses to indicate the order of operations.
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.49
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
16. Is the following example a
statement? Answer yes or no.
Division by zero is impossible.
|
ANSWER:
|
Yes
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.06
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
17. Assume p is T and q is T. Under
these assumptions, is the following statement true? Answer yes or no.
|
ANSWER:
|
No
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.01.33
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
18. Assume p is T, q is F, and r is F. Find the
truth value for the compound statement.
|
ANSWER:
|
F
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.01.37
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
19. Assume p is T, q is T, and r is F. Find the
truth value for the compound statement.
|
ANSWER:
|
T
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.01.57
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
20. The figure shows some faces
from the “Guess Who?” game. Decide whether the statement is true or false.
There is one face that has glasses.
|
ANSWER:
|
false
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.01.14
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
3_2___Truth_Tables_and_the_Conditional
1. Construct a truth table for the given statement.
|
|
a.
|
p q
Statement
T T
F
T F
F
F T
F
F F
T
|
|
|
b.
|
p q
Statement
T T
F
T F
T
F T
F
F F
F
|
|
|
c.
|
p q
Statement
T T
T
T F
F
F T
T
F F
T
|
|
|
d.
|
p q
Statement
T T
F
T F
T
F T
T
F F
T
|
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.05m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
2. Construct a truth table for the
given statement.
|
|
a.
|
p q Statement
T T
T
T F
F
F T
T
F F
T
|
|
|
b.
|
p q Statement
T T
F
T F
F
F T
F
F F
T
|
|
|
c.
|
p q Statement
T T
T
T F
T
F T
T
F F
F
|
|
|
d.
|
p q Statement
T T
T
T F
T
F T
F
F F
T
|
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.13m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
3. Construct a truth table for the
given statement.
|
|
a.
|
p q Statement
T T
T
T F
F
F T
T
F F
T
|
|
|
b.
|
p q Statement
T T
T
T F
T
F T
F
F F
T
|
|
|
c.
|
p q Statement
T T
T
T F
T
F T
T
F F
T
|
|
|
d.
|
p q Statement
T T
T
T F
F
F T
T
F F
F
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.15m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
4. Write the inverse of the given
statement.
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.25m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
5. Write the inverse of the given
statement.
If I break the law, then I will
go to jail.
|
|
a.
|
If I break the law, then I will not
go to jail.
|
|
|
b.
|
If I don’t break the law, then I will
go to jail
|
|
|
c.
|
If I go to jail, then I will
break the law.
|
|
|
d.
|
If I don’t go to jail, then I will not
break the law.
|
|
|
e.
|
If I don’t break the law, then I will not
go to jail.
|
|
ANSWER:
|
e
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.28m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
6. Translate the sentence into if-then
form.
All prime numbers greater than 2 are
odd numbers.
|
|
a.
|
If it is an odd number, then it may be
a prime number greater than 2.
|
|
|
b.
|
If it is
a prime number greater than 2, then it is
an odd number.
|
|
|
c.
|
If it is an odd number, then it is
a prime number greater than 2.
|
|
|
d.
|
If it is an odd number, then it is not
a prime number greater than 2.
|
|
|
e.
|
none of these
|
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.31m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
7. Translate the sentence into
if-then form.
All useless life is an early death.
|
|
a.
|
If it is a useless life, then it is not
an early death.
|
|
|
b.
|
If it is a useless life, then it is
an early death.
|
|
|
c.
|
If it is an early death, then it is not
a useless life.
|
|
|
d.
|
If it is an early death, then it may be
a useless life.
|
|
|
e.
|
If it is an early death, then it is a useless life.
|
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.36m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
8. Write the symbolic statement
that follows from the given statement.
The applicant for the position must have a two-year college
degree in drafting or five years of experience in the field. Let
a: You are an applicant for the position.
q: You are qualified for the position.
e: You
have a two-year college degree in drafting.
f:
You have five years of experience in the field.
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.02.53m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
9. Write the symbolic statement
that follows from the given statement.
To qualify for a loan, the applicant must have a gross income
of at least $40,000 if single or combined income of $54,000 if married. Let
q: You qualify for a loan.
m:You are married.
i: You have an income of at least
$40,000.
b: You spouse has an income of at least $40,000.
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.54m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
10. Write the symbolic statement
that follows from the given statement.
Utilities, except for water and garbage, are paid by the
tenant. Let
t: You are a tenant.
w: You pay water.
g:
You pay garbage.
u: You pay the other utilities.
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.02.58m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
11. Write the inverse of the given
statement.
If I brush my teeth with Smiles toothpaste, then I will have
fewer cavities.
|
|
a.
|
If I brush my teeth with Smiles toothpaste, then I will
not have fewer cavities.
|
|
|
b.
|
If I have fewer cavities, then I will brush my teeth
with Smiles toothpaste.
|
|
|
c.
|
If I don’t have fewer cavities, then I will not brush my
teeth with Smiles toothpaste.
|
|
|
d.
|
If I don’t brush my teeth with Smiles toothpaste, then I
will not have fewer cavities.
|
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
12. Translate the sentence into
if-then form.
All prime numbers greater than 2 are odd numbers.
If it is __________ then it __________.
|
|
a.
|
a prime number greater than 2; is an odd number
|
|
|
b.
|
an odd number; is a prime number greater than 2
|
|
|
c.
|
a prime number greater than 2; is not a prime number
greater than 2
|
|
|
d.
|
an odd number; may be a prime number greater than 2
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
13. Translate the sentence into
if-then form.
All work is noble.
If it is __________, then it __________.
|
|
a.
|
noble; is not work
|
|
|
b.
|
work; is noble
|
|
|
c.
|
work; is work
|
|
|
d.
|
noble; may be work
|
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
14. Determine which of the
following statements are true.
p:
q:
a.
b.
c.
|
|
a.
|
The statements for q,
for b are true.
|
|
|
b.
|
The statements for q,
for c are true.
|
|
|
c.
|
The statements for p,
for q, for a, for b are
true.
|
|
|
d.
|
The statements for q,
for a, for b are true.
|
|
|
e.
|
The statement for p is
true.
|
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.02.45m
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
15. Construct a truth table for
the given statement.
|
p
|
q
|
Statement
|
|
T
|
T
|
__________
|
|
T
|
F
|
__________
|
|
F
|
T
|
__________
|
|
F
|
F
|
__________
|
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.05
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
16. Construct a truth table for
the given statement.
|
p
|
q
|
Statement
|
|
T
|
T
|
__________
|
|
T
|
F
|
__________
|
|
F
|
T
|
__________
|
|
F
|
F
|
__________
|
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.13
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
17. Construct a truth table for
the given statement
|
p
|
q
|
Statement
|
|
T
|
T
|
__________
|
|
T
|
F
|
__________
|
|
F
|
T
|
__________
|
|
F
|
F
|
__________
|
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.02.15
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
18. Write the converse of the
given statement.
Please use => for the sign .
|
ANSWER:
|
not q => not p
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.25
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
19. Fill in the blank with a
symbolic statement that follows from the given statement.
Utilities, except for water and garbage, are paid by the
tenant. Let
t: You are a tenant.
w: You pay water.
g: You pay garbage.
u: You pay the other utilities.
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.02.58
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
20. Tell whether the following
statements are true or false.
p:
q:
a.
b.
c.
The statement for p is
__________.
The statement for q is
__________.
The statement a. is
__________.
The statement b. is
__________.
The statement c. is
__________.
|
ANSWER:
|
false; true; false; false; true
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.45
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
21. Fill in the blank with a
symbolic statement that follows from the given statement.
The applicant for the position must have a two-year college
degree in drafting or five years of experience in the field. Let
a: You are an applicant for the position.
q: You are qualified for the position.
e: You have a two-year college degree in
drafting.
f: You have five years of experience in
the field.
|
ANSWER:
|
q
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.53
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
22. Write the symbolic statement
that follows from the given statement.
To qualify for a loan, the applicant must have a gross income
of at least $35,000 if single or combined income of $50,000 if married. Let
q: You qualify for a loan.
m: You are married.
i: You have an income of at least $35,000.
b: Your spouse has an income of at least
$35,000.
|
ANSWER:
|
˜q
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.02.54
|
|
DATE CREATED:
|
12/24/2015 1:11 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:11 PM
|
|
|
3_3___Operators_and_Laws_of_Logic
1. Determine whether the given compound statement is a
tautology.
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.08m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
2. Translate the statement into
symbols.
To obtain the loan, I must have an income of $85,000 per year.
Let
p: All provisions of the sale are clearly understood
h: I will buy a new house
K: I must have an income of $85,000 per year
L: Obtaining the loan
s: Smoking
d: Drinking
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.20m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
3. Translate the statement into
symbols.
If by the mere force of numbers a majority should deprive a
minority of any clearly written constitutional right, it might, in a moral
point of view, justify revolution. (Abraham Lincoln) Let
h: Heartily laugh
w: Wholly laugh
b: A bad person
n: Being nice to people
m: You’ll meet ’em on your way down
f : The mere force of numbers a majority should deprive a
minority of any clearly written constitutional right
r: Revolution
|
ANSWER:
|
e
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.27m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
4. Use the tautology to
write statement in an equivalent form.
We will not visit New York or visit the Statue of Liberty.
|
|
a.
|
If we visit New York, then we visit the Statue of Liberty.
|
|
|
b.
|
If we visit New York, then we do not visit the Statue of Liberty.
|
|
|
c.
|
If we do not visit New York, then we do not visit the Statue of Liberty.
|
|
|
d.
|
If we do not visit New York, then we visit the Statue of Liberty.
|
|
|
e.
|
none of these.
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.30m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
5. Write the negation of the
compound statement.
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.42m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
6. Write the negation of the
compound statement.
Tim is not here and he is not at home.
|
|
a.
|
Tim is here and he is not at home.
|
|
|
b.
|
Tim is not here or he is not at home.
|
|
|
c.
|
Tim is not here and he is at home.
|
|
|
d.
|
Tim is here or he is at home.
|
|
|
e.
|
none of these
|
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.46m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
7. Write the negation of the
compound statement.
If x +
3 = 11, then x =
8.
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.52m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
8. Write the negation of the
compound statement.
If , then
|
ANSWER:
|
e
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.54m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
9. Write the negation of the
compound statement.
, if and .
|
ANSWER:
|
e
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.55m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
10. The contract states, “The
tenant shall not let or sublet the whole or any portion of the premises to
anyone for any purpose whatsoever, unless written permission from the
landlord is obtained.” Write this statement symbolically. Let
l: The tenant lets the premises.
m: The tenant lets portion of the premises.
s: The tenant sublets the premises.
t: The tenant sublets portion of the premises.
p: Permission is obtained.
|
|
a.
|
|
|
|
b.
|
|
|
|
c.
|
|
|
|
d.
|
|
|
|
e.
|
none of these
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.57m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
11. Use the
tautology to write statement in an equivalent form.
We will not visit New York or visit the Statue of Liberty.
|
|
a.
|
If we visit New York, then we do not visit the Statue of
Liberty.
|
|
|
b.
|
If we do not visit New York, then we do not visit the
Statue of Liberty.
|
|
|
c.
|
If we do not visit New York, then we visit the Statue of
Liberty.
|
|
|
d.
|
If we visit New York, then we visit the Statue of
Liberty.
|
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
12. Determine the truth value of
the given statement.
Let and .
either p or q
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.17m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
13. Write the negation of the
compound statement.
John went to Macy’s or Sears.
John __________ (did
not go, went)
to Macy’s and he __________ (went, did not go) to Sears.
|
ANSWER:
|
did not go; did not go
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Completion
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.46
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
14. Translate the statement into symbols.
To obtain the loan, I must have an income of $85,000 per year.
Let
K: I must have an income of $85,000 per year
L: Obtaining the loan
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.20
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
15. Translate the statement into
symbols.
Be nice to people on your way up ’cause you’ll meet ’em on
your way down. (Jimmy Durante) Let
n: is being nice to people
m: you’ll meet ’em on your way down
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.27
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
16. Write the negation of the
compound statement
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.42
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
17. Write the negation of the
compound statement
Please enter the sign ∩ for “and”, and the sign ∪ for “or”.
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.52
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
18. Write the negation of the
compound statement
Please enter the sign ∩ for “and”, and the sign ∪ for “or”.
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.54
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
19. Write the negation of the
compound statement
Please enter the sign ∩ for “and”, and the sign ∪ for “or”. Do not add
commas in your answer.
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.03.55
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
20. The contract states, “No
alterations, redecorating, tacks, or nails may be made in the building,
unless written permission is obtained.”
Write out these conditions symbolically. Write this statement
symbolically.
Let:
a: An alteration is made to the
building.
r: The building is redecorated.
t: Tacks are inserted onto the building.
n: Nails are hammered into the building.
p: Permission is obtained.
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.57
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
21. Determine whether the given
compound statement is a tautology. Answer yes or no.
|
ANSWER:
|
Yes
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.08
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
22. Determine the truth value of
the given statement.
either p or q
|
ANSWER:
|
True
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.03.17
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
3_4___The_Nature_of_Proof
1. Determine whether the argument in the problem below is
valid or invalid. If valid, name the type of reasoning and if invalid,
determine the error in reasoning.
If I inherit $1,100, I will buy you a cookie.
I inherit $1,100.
Therefore, I will buy you a cookie.
|
|
a.
|
valid; direct
|
|
|
b.
|
invalid; false chain
|
|
|
c.
|
invalid; indirect
|
|
|
d.
|
valid; indirect
|
|
|
e.
|
invalid; direct
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.11m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
2. Explain what we mean by
indirect reasoning.
|
|
a.
|
|
|
|
b.
|
|
|
|
c.
|
|
|
|
d.
|
|
|
|
e.
|
none of these
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.04.01m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
3. Determine whether the argument
in the problem below is valid or invalid. If valid, name the type of
reasoning and if invalid, determine the error in reasoning.
Assume that if a number is odd, then it is not even.
If a3 is even,
then a must
be even.
a is odd.
Therefore, a3 is odd.
|
|
a.
|
invalid; false chain
|
|
|
b.
|
invalid; direct
|
|
|
c.
|
invalid; indirect
|
|
|
d.
|
valid; indirect
|
|
|
e.
|
valid; direct
|
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.12m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
4. Determine whether the argument
in the problem below is valid or invalid. If valid, name the type of
reasoning and if invalid, determine the error in reasoning.
If , then .
Therefore, .
|
|
a.
|
valid; indirect
|
|
|
b.
|
valid; direct
|
|
|
c.
|
valid; transitive
|
|
|
d.
|
invalid; direct
|
|
|
e.
|
invalid; indirect
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.23m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
5. Determine whether the argument
in the problem below is valid or invalid. If valid, name the type of
reasoning and if invalid, determine the error in reasoning.
All mathematicians are clever men.
All clever men are rich.
Therefore, all mathematicians are rich.
|
|
a.
|
invalid; direct
|
|
|
b.
|
valid; indirect
|
|
|
c.
|
valid; direct
|
|
|
d.
|
invalid; false chain
|
|
|
e.
|
valid; transitive
|
|
ANSWER:
|
e
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.29m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
6. Form a valid conclusion, using
all the statements for each argument. Give reasons.
If you learn mathematics, then you are intelligent.
If you are intelligent, then you understand politics.
|
|
a.
|
If you learn mathematics, then you understand politics.
(transitive)
|
|
|
b.
|
If you learn mathematics, then you understand politics.
(indirect)
|
|
|
c.
|
If you don’t learn mathematics, then you don’t
understand politics. (direct)
|
|
|
d.
|
If you don’t learn mathematics, then you don’t
understand politics. (indirect)
|
|
|
e.
|
none of these
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.37m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
7. Form a valid conclusion, using
all the statements for each argument. Give reasons.
If we go to the theater, then we are enlightened.
We are not enlightened.
|
|
a.
|
We do not go to the theater. (indirect)
|
|
|
b.
|
We go to the theater. (indirect)
|
|
|
c.
|
We do not go to the theater. (direct)
|
|
|
d.
|
We go to the theater. (direct)
|
|
|
e.
|
none of these
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.39m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
8. Form a valid conclusion, using
all the statements for each argument. Give reasons.
If 2 divides a positive integer N and if N is greater
than 2, then N is
not a prime number.
N is not a prime number.
|
|
a.
|
N is
not greater than 2.
|
|
|
b.
|
N is
an even number.
|
|
|
c.
|
2 does not divide a positive integer N and N is
not greater than 2.
|
|
|
d.
|
2 does not divide a positive integer N or N is
not greater than 2.
|
|
|
e.
|
none of these
|
|
ANSWER:
|
d
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.46m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
9. Form a valid conclusion, using
all the statements for each argument. Give reasons.
If we win third prize, we will go to
the Europe.
If we are ingenious, we will win third prize.
We are ingenious.
|
|
a.
|
We won’t win third prize. (direct )
|
|
|
b.
|
We won’t go to Europe. (indirect)
|
|
|
c.
|
We will go to Europe. (transitive and direct )
|
|
|
d.
|
We will go to Europe. (indirect )
|
|
|
e.
|
none of these
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.47m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
10. Form a valid conclusion, using
all the statements for each argument. Give reasons.
Children are illogical.
Nobody is despised who can manage a sport car.
Illogical persons are despised.
|
|
a.
|
Children can manage sport cars.
|
|
|
b.
|
Everybody can manage sport cars.
|
|
|
c.
|
Children can’t manage sport cars.
|
|
|
d.
|
Nobody can manage sport cars.
|
|
|
e.
|
none of these
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.49m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
11. Determine whether the argument
is valid or invalid. If valid, name the type of reasoning and if invalid,
determine the error in reasoning.
No students are enthusiastic.
You are enthusiastic.
Therefore, you are not a student.
|
|
a.
|
invalid, false chain pattern
|
|
|
b.
|
valid, direct
|
|
|
c.
|
valid, indirect
|
|
|
d.
|
invalid, fallacy of the converse
|
|
|
e.
|
invalid, fallacy of the inverse
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.04.32m
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
12. Explain symbolically what we
mean by indirect reasoning.
Enter parentheses to indicate the order of operations.
Use p and q for a
designation of variables.
|
ANSWER:
|
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.04.01
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
13. Form a valid conclusion, using
all the statements for each argument. Give reasons.
If you learn economics, then you are intelligent.
If you are intelligent, then you
understand human nature.
If you __________(learn, don’t learn)
economics, then you __________ (understand, don’t understand)
human nature.
__________ (direct, indirect, transitive)
|
ANSWER:
|
learn; understand; transitive
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.37
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
14. Form a valid conclusion, using
all the statements for each argument. Give reasons.
If we go to the ballet, then we are enlightened.
We are not enlightened.
We __________ (go, do not go) to the
ballet.
__________ (direct, indirect)
|
ANSWER:
|
do not go; indirect
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.39
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
15. Form a valid conclusion, using
all the statements for each argument. Give reasons.
If 5 divides a positive integer N and if N is greater than
5, then N is
not a prime number.
N is a prime number.
5 __________ (divides, does not divide) a
positive integer N or
__________ (N is a
composite number, N
is not greater than 5).
__________(direct, indirect)
|
ANSWER:
|
does not divide; N is
not greater than 5; indirect
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.46
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
16. Determine whether the argument
is valid or invalid. If valid, name the type of reasoning and if invalid,
determine the error in reasoning.
No students are enthusiastic.
You are a student.
Therefore, you are not enthusiastic.
|
ANSWER:
|
valid; direct
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.04.32
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
17. Determine whether the argument
in the problem below is valid or invalid. If valid, name the type of
reasoning and if invalid, determine the error in reasoning.
If inherit $1,000, I will buy you a toy .
I inherit $1,000.
Therefore, I will buy you a toy.
|
ANSWER:
|
valid, direct
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.11
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
18. Determine whether the argument
in the problem below is valid or invalid. If valid, name the type of
reasoning and if invalid, determine the error in reasoning.
If a2 is odd,
then a must
be odd.
a is even.
Therefore, a2 is even.
Assume that if a number is even, then it is not odd.
|
ANSWER:
|
valid; indirect
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.12
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
19. Determine whether the argument
in the problem below is valid or invalid. If valid, name the type of
reasoning and if invalid, determine the error in reasoning.
If , then .
Therfore, .
|
ANSWER:
|
valid; indirect
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.23
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
20. Determine whether the argument
in the problem below is valid or invalid. If valid, name the type of
reasoning and if invalid, determine the error in reasoning.
All physicists are clever men.
All clever men are rich.
Therefore, all physicists are rich.
|
ANSWER:
|
valid; transitive
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.03.04.29
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
21. Choose a valid conclusion,
using all the statements for each argument.
If we win third prize, we will go to Europe0.
If we are ingenious, we will win third prize.
We are ingenious.
We will go to Europe0 (transitive and direct)
We won’t go to Europe0
(indirect)
We won’t win third prize
(transitive and direct))
|
ANSWER:
|
We will go to Europe0 (transitive and direct)
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.47
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
22. Choose a valid conclusion,
using all the statements for each argument.
Children are illogical.
Nobody is despised who can manage a crocodile0.
Illogical persons are despised.
Children can manage crocodiles 0
Children can’t mange
crocodiles 0
Everybody can manage
crocodiles 0
|
ANSWER:
|
Children can’t manage crocodiles 0
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.03.04.49
|
|
DATE CREATED:
|
12/24/2015 1:12 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:12 PM
|
|
|
5_1___Natural_Numbers
1. Use the definition of multiplication to show what the
expression means.
|
|
a.
|
, (7 terms)
|
|
|
b.
|
, (140 terms)
|
|
|
c.
|
, (6 terms)
|
|
|
d.
|
, (7 terms)
|
|
|
e.
|
, (140 terms)
|
|
ANSWER:
|
e
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.14m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
2. Classify as an example of the
commutative property, the associative property, or both.
2 + (3 + 5) = (2 + 5) + 3
|
|
a.
|
both
|
|
|
b.
|
associative
|
|
|
c.
|
commutative
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.16m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
3. Consider the set with an
operation defined by the table.
means find the entry in row and column ; for example,
(the entry in row 7 and column 9). Find .
|
1
|
4
|
7
|
9
|
|
1
|
9
|
7
|
1
|
4
|
|
4
|
7
|
9
|
4
|
1
|
|
7
|
1
|
4
|
7
|
9
|
|
9
|
4
|
1
|
9
|
7
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.32m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
4. Consider the set of
natural numbers and an operation which means select the first of the
two. That is, ; ; ; .
Is associative for ?
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.39m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
5. Consider the operation defined
by the table.
Find and.
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.41m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
6. Do the problem mentally using
the distributive property.
|
|
a.
|
392
|
|
|
b.
|
400
|
|
|
c.
|
389
|
|
|
d.
|
402
|
|
|
e.
|
343
|
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.44m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
7. Is the set of
odd natural numbers closed for the operation of multiplication?
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.50m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
8. Let . Define an
operation as . Check the commutative and associative
properties.
|
|
a.
|
associative but not commutative
|
|
|
b.
|
neither
|
|
|
c.
|
associative and commutative
|
|
|
d.
|
commutative but not associative
|
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.54m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
9. Consider a soldier facing in a
given direction (say north). Let us denote “left face” by l, “right face”
by r,
“about face” by a,
and “stand fast” by f.
(The element f means
“don’t move from your present position.” It does not mean “return to your
original position.”) Then we define and an operation meaning
“followed by.” Thus, means “left face” followed by “left face” and is
the same as the single command “about face.” Does the set H and operation
satisfy the associative property?
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.57m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
10. Consider a soldier facing in a
given direction (say north). Let us denote “left face” by l, “right face”
by r,
“about face” by a,
and “stand fast” by f.
(The element f means
“don’t move from your present position.” It does not mean “return to your
original position.”) Then we define and an operation meaning “followed
by.” Thus, means “left face” followed by “left face” and is the same as the
single command “about face.” Complete the following table.
|
|
a.
|
a l r f
a f r l a
l r f f l
r l f a r
f a l r f
|
|
|
b.
|
a l r f
a r l a f
l l f l a
r a l r a
f f r a f
|
|
|
c.
|
a l r f
a f r l a
l r a f l
r l f a r
f a l r f
|
|
|
d.
|
a l r f
a r a f l
l a f a r
r f a r f
f l r f a
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.56m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
11. Classify the equality as an
example of the commutative property, the associative property, or both.
|
|
a.
|
associative property
|
|
|
b.
|
commutative property
|
|
|
c.
|
both properties
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.26m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
12. Consider the set with an
operation defined by the table.
means find the entry in row a and column b; for example, (the
entry in row 7 and column 9). Find .
|
1
|
4
|
7
|
9
|
|
1
|
9
|
7
|
1
|
4
|
|
4
|
7
|
9
|
4
|
1
|
|
7
|
1
|
4
|
7
|
9
|
|
9
|
4
|
1
|
9
|
7
|
|
ANSWER:
|
4
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Numeric Response
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.32
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
13. Do the problem mentally using
the distributive property.
|
ANSWER:
|
410
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Numeric Response
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.44
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
14. Let . Define an operation
as . Check the commutative and associative properties.
It is __________ (commutative
but not associative, associative
but not commutative, neither
commutative nor associative, associative and commutative).
|
ANSWER:
|
neither commutative nor associative
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Completion
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.54
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
15. Classify the equality as an
example of the commutative property, the associative property, or both.
This is an example of __________ (commutative property, associative property, both properties).
|
ANSWER:
|
associative property
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Completion
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.26
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
16. Use the definition of
multiplication to show what the expression means.
|
ANSWER:
|
143 + 143 + 143 + 143
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.14
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
17. Consider a soldier facing in a
given direction (say north). Let us denote “left face” by l, “right face”
by r,
“about face” by a,
and “stand fast” by f.
(The element f means
“don’t move from your present position”. It does not mean “return to your
original position”). Then we define and an operation meaning “followed
by”. Thus, means “left face” followed by “left face” and is the same as the
single command “about face”. Complete the following table.
|
a
|
f
|
l
|
r
|
|
a
|
__________
|
__________
|
__________
|
__________
|
|
f
|
__________
|
__________
|
__________
|
__________
|
|
l
|
__________
|
__________
|
a
|
__________
|
|
r
|
__________
|
__________
|
__________
|
__________
|
|
ANSWER:
|
f; a; r; l; a; f; l; r; r; l; f; l; r; f; a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.56
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
18. Classify the following as an
example of the commutative
property, the associative
property, or both.
2 + (3 + 5) = (2 + 5) + 3
|
ANSWER:
|
both properties
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.01.16
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
19. Consider the set of
natural numbers and an operation which means select the first of the
two. That is,
Is associative for ? Answer yes or no.
|
ANSWER:
|
yes
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.39
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
20. Consider the operation
defined by the table.
Find and.
|
ANSWER:
|
triangle
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.41
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
21. Is the set of even natural
numbers closed for the operation of multiplication?
Answer yes or no.
|
ANSWER:
|
yes
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.50
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
22. Consider a soldier facing in a
given direction (say north). Let us denote “left face” by l, “right face”
by r,
“about face” by a,
and “stand fast” by f.
(The element f means
“don’t move from your present position.” It does not mean “return to your
original position.”) Then we define and an operation meaning “followed
by”. Thus, means “left face” followed by “left face” and is the same as
the single “about face”. Does the set H and
operation satisfy the commutative property?
Answer yes or no.
|
ANSWER:
|
yes
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Subjective Short Answer
|
|
HAS VARIABLES:
|
False
|
|
OTHER:
|
smnm11.05.01.57
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
5_2___Prime_Numbers
1. What is a prime number?
|
|
a.
|
The natural number that has no divisors.
|
|
|
b.
|
The natural number that has exactly two divisors.
|
|
|
c.
|
The natural number that has one divisor.
|
|
|
d.
|
The natural number that has more than two divisors.
|
|
ANSWER:
|
b
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.02.01m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
2. What does g.c.f. mean?
|
|
a.
|
The largest number in a given set.
|
|
|
b.
|
The smallest number in a given set.
|
|
|
c.
|
The largest number that divides (evenly) into each of the numbers in the given set.
|
|
|
d.
|
The smallest number that each of the numbers in the set divides into evenly.
|
|
|
e.
|
none of these choices
|
|
ANSWER:
|
c
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.02.03m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
3. Is the number 1,997 prime?
|
ANSWER:
|
a
|
|
POINTS:
|
1
|
|
QUESTION TYPE:
|
Multi-Mode (Multiple choice)
|
|
HAS VARIABLES:
|
True
|
|
OTHER:
|
smnm11.05.02.07m
|
|
DATE CREATED:
|
12/24/2015 1:15 PM
|
|
DATE MODIFIED:
|
12/24/2015 1:15 PM
|
|
|
4. Is the statement 5|46 true or
false?
|
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