Exam 3: The Nature of Logic
Exam 1: The Nature of Problem Solving53 Questions
Exam 2: The Nature of Sets64 Questions
Exam 3: The Nature of Logic160 Questions
Exam 4: The Nature of Numeration Systems102 Questions
Exam 5: The Nature of Numbers139 Questions
Exam 6: The Nature of Algebra173 Questions
Exam 7: The Nature of Geometry139 Questions
Exam 8: The Nature of Measurement50 Questions
Exam 9: The Nature of Networks and Graph Theory76 Questions
Exam 10: The Nature of Growth57 Questions
Exam 11: The Nature of Sequences, Series, and Financial Management130 Questions
Exam 12: The Nature of Counting78 Questions
Exam 13: The Nature of Probability97 Questions
Exam 14: The Nature of Statistics82 Questions
Exam 15: The Nature of Graphs and Functions74 Questions
Exam 16: The Nature of Mathematical Systems97 Questions
Exam 17: The Nature of Voting and Apportionment52 Questions
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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))
(Essay)
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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.
(Multiple Choice)
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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.
(Multiple Choice)
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Four boys were playing marbles; their names were Gary, Henry, John, and Alice. One of the boys had 9 marbles, another had 15, and each of the other two had 12. Their ages were 3, 10, 17, and 18, but not respectively. Gary shot before Henry and Alice. Alice was older than the boy with 15 marbles. Henry had fewer than 15 marbles. Alice shot before Henry. John shot after Henry. If John was 10 years old, he did not have 15 marbles. Gary and Alice together had an even number of marbles. The youngest boy was not the one with 15 marbles. If Henry had 12 marbles, he wasn't the youngest. The 10-year-old shot after the 17-year-old. How old was each boy?
(Multiple Choice)
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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.
(Short Answer)
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A fox, hunting for a morsel of food, spotted a huge bear about 175 yards due east of him. Before the hunter could become the hunted, the crafty fox ran due north for 175 yards but then realized the bear had not noticed him. Thus he stopped and remained hidden. At this point the bear was due south of the fox. What was the color of the bear?
(Multiple Choice)
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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.
(Multiple Choice)
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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.
(Short Answer)
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Using gates, design a circuit for the conditional statement.
(a)
(b)
(c)




(Multiple Choice)
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Write the negation of the compound statement.
Tim is not here and he is not at home.
(Multiple Choice)
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Using switches, design a circuit that would find the truth values for the statement.
Select the correct circuit.

(Multiple Choice)
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Find the negation of the statement.
All squares are rectangles.
(Multiple Choice)
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