Question 1

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

Accepted Answer

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

Question 2

Using gates, design a circuit for the conditional statement. ​   ​
Select the correct circuit.
​

Accepted Answer

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

Question 3

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.
​

Accepted Answer

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

Question 4

Assume p is T and q is T. Under these assumptions, is the following statement true? Answer yes or no.
​

Accepted Answer

The answer of Assume p is T and q is...

Question 5

I visited a beautiful flower garden yesterday and counted exactly 50 flowers. Each flower was either white or orange, and the flowers were not all the same color. My friend made the following observation: No matter which two flowers you might have picked, at least one was bound to be white. From this can you determine how many were white and how many were orange? ​

Accepted Answer

A)  1 orange flower, 49 white flower(s) 
B)  1 white flower, 49 orange flower(s) 
C)  32 orange flower(s), 18 white flower(s) 
D)  24 orange flower(s), 26 white flower(s) 
E)  26 orange flower(s), 24 white flower(s) 
A)  1 orange flower, 49 white flower(s) 
B)  1 white flower, 49 orange flower(s) 
C)  32 orange flower(s), 18 white flower(s) 
D)  24 orange flower(s), 26 white flower(s) 
E)  26 orange flower(s), 24 white flower(s)

Question 6

Alfie, Betty, and Clyde are the members of a Senate committee. Design a circuit that will output yea or nay depending on the way the majority of the committee members voted. Let the committee members be a, b, and c, respectively. ​
Select the correct circuit.
​

Accepted Answer

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

Question 7

Construct a truth table for the given statement. ​   ​

Accepted Answer

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

Question 8

Write the negation of the compound statement. ​
If   , then   ​

Accepted Answer

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

Question 9

Assume p is T, q is T, and r is F. Find the truth value for the compound statement: ​

Accepted Answer

A)  T 
B)  F 
A)  T 
B)  F

Question 10

First build a truth table and then design a circuit using switches that would find the truth values for the statement. ​   ​

Accepted Answer

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

Question 11

Construct a truth table for the given statement.   ​

Accepted Answer

The answer of Construct a truth table for the given...

Question 12

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

Accepted Answer

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

Question 13

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.

Accepted Answer

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 
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

Question 14

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.
​

Accepted Answer

The answer of Determine whether the argument in the problem...

Question 15

Assume p is F and q is T. Under these assumptions, which of the following statements are true? ​

Accepted Answer

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

Question 16

Find a so that the statement is true.

Accepted Answer

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

Question 17

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

Accepted Answer

A)  battery (or power source) 
B)  switch 
C)  light 
A)  battery (or power source) 
B)  switch 
C)  light

Question 18

Find a so that the statement is true.

Accepted Answer

A)  1 
B)  4 
C)  0 
D)  2 
E)  3 
A)  1 
B)  4 
C)  0 
D)  2 
E)  3

Question 19

Using switches, design a circuit that would find the truth values for the statement. ​   ​
Select the correct circuit.
​

Accepted Answer

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

Question 20

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.
​   ​

Accepted Answer

A) True 
 B)False

What does the circuit symbol in the figure mean?

Using gates, design a circuit for the conditional statement. Select the correct circuit.

Assume p is T and q is T. Under these assumptions, is the following statement true? Answer yes or no.

Alfie, Betty, and Clyde are the members of a Senate committee. Design a circuit that will output yea or nay depending on the way the majority of the committee members voted. Let the committee members be a, b, and c, respectively. Select the correct circuit.

Construct a truth table for the given statement.

Write the negation of the compound statement. If , then

Assume p is T, q is T, and r is F. Find the truth value for the compound statement:

First build a truth table and then design a circuit using switches that would find the truth values for the statement.

Construct a truth table for the given statement.

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

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.

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.

Assume p is F and q is T. Under these assumptions, which of the following statements are true?

Find a so that the statement is true.

What does the circuit symbol in the figure mean?

Find a so that the statement is true.

Using switches, design a circuit that would find the truth values for the statement. Select the correct circuit.

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.

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? ​ ​

Using gates, design a circuit for the conditional statement. ​ ​ Select the correct circuit. ​

Assume p is T and q is T. Under these assumptions, is the following statement true? Answer yes or no. ​

Alfie, Betty, and Clyde are the members of a Senate committee. Design a circuit that will output yea or nay depending on the way the majority of the committee members voted. Let the committee members be a, b, and c, respectively. ​ Select the correct circuit. ​

Construct a truth table for the given statement. ​ ​

Write the negation of the compound statement. ​ If , then ​

Assume p is T, q is T, and r is F. Find the truth value for the compound statement: ​

First build a truth table and then design a circuit using switches that would find the truth values for the statement. ​ ​

Construct a truth table for the given statement. ​

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

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.

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. ​

Assume p is F and q is T. Under these assumptions, which of the following statements are true? ​

Find a so that the statement is true.

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

Find a so that the statement is true.

Using switches, design a circuit that would find the truth values for the statement. ​ ​ Select the correct circuit. ​

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. ​ ​

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?

Using gates, design a circuit for the conditional statement. Select the correct circuit.

Assume p is T and q is T. Under these assumptions, is the following statement true? Answer yes or no.

Alfie, Betty, and Clyde are the members of a Senate committee. Design a circuit that will output yea or nay depending on the way the majority of the committee members voted. Let the committee members be a, b, and c, respectively. Select the correct circuit.

Construct a truth table for the given statement.

Write the negation of the compound statement. If , then

Assume p is T, q is T, and r is F. Find the truth value for the compound statement:

First build a truth table and then design a circuit using switches that would find the truth values for the statement.

Construct a truth table for the given statement.

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.

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.

Assume p is F and q is T. Under these assumptions, which of the following statements are true?

What does the circuit symbol in the figure mean?

Using switches, design a circuit that would find the truth values for the statement. Select the correct circuit.

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.