Question 1

What does the circuit symbol in the figure mean? ​   ​

Accepted Answer

A)  AND-gate 
B)  NOT-gate 
C)  OR-gate 
A)  AND-gate 
B)  NOT-gate 
C)  OR-gate

Question 2

Find a so that the statement is true.

Accepted Answer

A)  6 
B)  5 
C)  0 
D)  3 
E)  4 
A)  6 
B)  5 
C)  0 
D)  3 
E)  4

Question 3

Find a so that the statement is true.

Accepted Answer

A)  6 
B)  0 
C)  5 
D)  8 
E)  7 
A)  6 
B)  0 
C)  5 
D)  8 
E)  7

Question 4

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.
​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Which of the following are statements? ​

Accepted Answer

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? 
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?

Question 6

What does the circuit symbol in the figure mean? ​   ​

Accepted Answer

A)  AND-gate 
B)  NOT-gate 
C)  Switch 
D)  Battery 
E)  OR-gate 
A)  AND-gate 
B)  NOT-gate 
C)  Switch 
D)  Battery 
E)  OR-gate

Question 7

Translate the sentence into if-then form. All work is noble.
If it is __________, then it __________.

Accepted Answer

A)  noble; is not work 
B)  work; is noble 
C)  work; is work 
D)  noble; may be work 
A)  noble; is not work 
B)  work; is noble 
C)  work; is work 
D)  noble; may be work

Question 8

Find a so that the statement is true.   a = __________

Accepted Answer

The answer of Find a so that the statement is...

Question 9

Using AND-gates, OR-gates, and NOT-gates, design a circuit that would find the truth values for the sentence. ​   ​
Select the correct circuit.
​

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 10

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.
​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)    
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 11

Find a so that the statement is true.   a = __________

Accepted Answer

The answer of Find a so that the statement is...

Question 12

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.
​

Accepted Answer

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 
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

Question 13

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.
​

Accepted Answer

A)  invalid; false chain 
B)  invalid; direct 
C)  invalid; indirect 
D)  valid; indirect 
E)  valid; direct 
A)  invalid; false chain 
B)  invalid; direct 
C)  invalid; indirect 
D)  valid; indirect 
E)  valid; direct

Question 14

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.

Accepted Answer

A)  invalid, false chain pattern 
B)  valid, direct 
C)  valid, indirect 
D)  invalid, fallacy of the converse 
E)  invalid, fallacy of the inverse 
A)  invalid, false chain pattern 
B)  valid, direct 
C)  valid, indirect 
D)  invalid, fallacy of the converse 
E)  invalid, fallacy of the inverse

Question 15

Write the converse of the given statement.
​   ​
Please use => for the sign   .

Accepted Answer

The answer of Write the converse of the given statement.
​...

Question 16

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)

Accepted Answer

learn; und

Question 17

Determine the truth value of the given statement.
​
Let   and   .
​
either p or q
​

Accepted Answer

A) True 
 B)False

Question 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   , then   .   Therefore,   .
​

Accepted Answer

A)  valid; indirect 
B)  valid; direct 
C)  valid; transitive 
D)  invalid; direct 
E)  invalid; indirect 
A)  valid; indirect 
B)  valid; direct 
C)  valid; transitive 
D)  invalid; direct 
E)  invalid; indirect

Question 19

Find a so that the statement is true.   a = __________

Accepted Answer

The answer of Find a so that the statement is...

Question 20

What does the circuit symbol in the figure mean?

Accepted Answer

A)  NOT-gate 
B)  OR-gate 
C)  AND-gate 
A)  NOT-gate 
B)  OR-gate 
C)  AND-gate

What does the circuit symbol in the figure mean?

Find a so that the statement is true.

Find a so that the statement is true.

Which of the following are statements?

What does the circuit symbol in the figure mean?

Translate the sentence into if-then form. All work is noble. If it is , then it .

Find a so that the statement is true. a = __________

Using AND-gates, OR-gates, and NOT-gates, design a circuit that would find the truth values for the sentence. Select the correct circuit.

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.

Find a so that the statement is true. a = __________

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.

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.

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.

Write the converse of the given statement. Please use => for the sign .

Determine the truth value of the given statement. Let and . either p or q

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, .

Find a so that the statement is true. a = __________

What does the circuit symbol in the figure mean?

The Nature of Problem Solving

The Nature of Sets

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Measurement

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

The Nature of Voting and Apportionment

Filters

Exam 3: The Nature of Logic

What does the circuit symbol in the figure mean? ​ ​

Find a so that the statement is true.

Find a so that the statement is true.

Which of the following are statements? ​

What does the circuit symbol in the figure mean? ​ ​

Translate the sentence into if-then form. All work is noble. If it is __________, then it __________.

Find a so that the statement is true. a = __________

Using AND-gates, OR-gates, and NOT-gates, design a circuit that would find the truth values for the sentence. ​ ​ Select the correct circuit. ​

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. ​

Find a so that the statement is true. a = __________

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. ​

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. ​

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.

Write the converse of the given statement. ​ ​ Please use => for the sign .

Determine the truth value of the given statement. ​ Let and . ​ either p or q ​

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, . ​

Find a so that the statement is true. a = __________

What does the circuit symbol in the figure mean?

The Nature of Problem Solving

The Nature of Sets

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Measurement

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

The Nature of Voting and Apportionment

Filters

What does the circuit symbol in the figure mean?

Which of the following are statements?

What does the circuit symbol in the figure mean?

Translate the sentence into if-then form. All work is noble. If it is , then it .

Using AND-gates, OR-gates, and NOT-gates, design a circuit that would find the truth values for the sentence. Select the correct circuit.

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.

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.

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.

Write the converse of the given statement. Please use => for the sign .

Determine the truth value of the given statement. Let and . either p or q

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, .