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Logical Thinking Questions - All Grades

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Grade 10 Logical Thinking
Determine the converse of the statement: if p, then q.
  1. If ~q, then p
  2. If p, then ~q
  3. If ~p, then q
  4. If q, then p
Grade 11 Logical Thinking
A concluding statement reached using inductive reasoning is called a
  1. compound statement.
  2. conjecture.
  3. condition.
  4. counterexample.
Grade 10 Logical Thinking
What is called the universal quantifier in logic?
  1. all
  2. there exists at least one
  3. conjunction
  4. disjunction
  5. conditional
Grade 10 Logical Thinking
Which of the following is logically equivalent to p↔q?
  1. p→qorq→p
  2. p→qifq→p
  3. p→qandq→p
  4. p→q when q→p
Grade 10 Logical Thinking
Which of the following represents the biconditional?
  1. p←q
  2. p↔q
  3. p→q
  4. p→~q
Grade 10 Logical Thinking
The negation of the statement p is ~p.
  1. True
  2. False
Grade 10 Logical Thinking
Which answer would be a counterexample to the following biconditional?

"Greg is a swimmer if and only if he is an athlete."
  1. Greg is an athlete and a basketball player.
  2. Greg is a swimmer.
  3. Greg is not an athlete.
  4. There is no counterexample.
Grade 10 Logical Thinking
What is compound statement with "p or q" called?
  1. all
  2. there exists at least one
  3. conjunction
  4. disjunction
  5. conditional
Grade 10 Logical Thinking
Two or more statements joined by the word "and" is called a                .
  1. Disjunction
  2. Negation
  3. Truth value
  4. Conjunction
Grade 11 Logical Thinking
~p is read as
  1. greater than p.
  2. congruent with p.
  3. p.
  4. not p.
Grade 10 Logical Thinking
Which numbers are not counterexamples for the following statement?
For any numbers a and b, a/b = a - b
  1. a = 8, b = 4
  2. a = 10, b = 5
  3. a = 6, b = 3
  4. a = 4, b = 2
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