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Tenth Grade (Grade 10) Logical Thinking Questions

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Grade 10 Logical Thinking
Determine the contrapositive 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 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 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 [math]p harr q ?[/math]
  1. [math]p rarr q or q rarr p [/math]
  2. [math]p rarr q if q rarr p [/math]
  3. [math]p rarr q and q rarr p[/math]
  4. [math] p rarr q " when " q rarr p[/math]
Grade 10 Logical Thinking
Which of the following represents the biconditional?
  1. [math]p larr q[/math]
  2. [math] p harr q[/math]
  3. [math] p rarr q[/math]
  4. [math] p rarr ~q [/math]
Grade 10 Logical Thinking
Grade 10 Logical Thinking
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