MMW Midterm Exam Prep

• It is the Science of correct Reasoning.

  Logic
• It is the drawing of inferences or conclusions from known or assumed facts.

  Reasoning
• It is drawing a general conclusion FROM a repeated observation or limited sets of observations of specific examples.

  Inductive Reasoning
• It is drawing a general case to specific examples or simplifying from a general case to a specific one.

  Deductive Reasoning
• What is the converse of the "If you are smart, then your answer is correct."

  If your answer is correct, then you are smart.
• What is Polya's most prized publication?

  How to Solve it
• What is the inverse of the "If you are smart, then your answer is correct."

  If you are not smart, then your answer is not correct.
• What is the LAST step in Polya’s problem-solving?

  Look backward
• What is the contrapositive of the statement, "If Jam can join the band, then he can play the keyboard."

  If Jam cannot play the keyboard, then he cannot join the band.
• What is the inverse of the statement, "If Mark is promoted, then he gets a salary increase."

  If Mark is not promoted, then he does not get a salary increase.
• You are a good student. You got straight A’s. Therefore, your friends must get all A’s too. This statement is an example of what reasoning?

  Inductive Reasoning
• All men are mortal. Luffy is a man. Therefore, Luffy is mortal. This statement is an example of what reasoning?

  Deductive Reasoning
• Given this statement, “Bachelors are unmarried men. Kakashi is unmarried. Therefore,___________. What is the conclusion?

  Kakashi is a Bachelor.
• A proposition is a ___________ if the truth values in all possible cases are true.

  Tautology
• Which of the following is the steps that show DEVICE A PLAN in Polya’s problem-solving?

  Finding a way to solve the problem.
• It is a declarative statement that is either true or false, but not both.

  Propositions
• This symbol, <->, means?

  If and only if
• The CONVERSE is logically equivalent to what compound statement?

  Inverse Statement
• Determine what type of reasoning: All triangles have three interior angles that sum to 180 degrees Right triangles have exactly one 90-degree angle and two angles that add to 90 degrees Therefore, the two remaining angles of all right triangles must each be acute.

  Deductive
• Which of the following means "not p or q"?

  ~p v q
• p: I like Pepsi. q: I like Coke. Which symbolic statement means, "I like Coke, or I like Pepsi"?

  p v q
• Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive. 


  If I do not have a dog, then I do not have a Siberian Husky.
• What is the negation of the statement, " I did not pass the Prelim examination in Mathematics"?

  I passed the Prelim examination in Mathematics.
• Give the conclusion. “If Jana stays up late, he will be tired the next day. Jana is not tired, therefore _____________________________.

  Jana did not stay up late.
• What is the perimeter of a rectangle whose length is 7 cm more than its width and whose area is 78 sq. cm?

  38
• Two times the sum of a number and 5 is equal to thrice the number plus 7. Find the number.

  3
• There are 8 people at the party. If everyone at the party shakes hands with everyone else, how many handshakes would there be?

  28