
Logic and Set Theory Quiz
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Education
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University
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Mary Quioc
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35 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the statement ∃x ∃y (Reads(x, y) ∧ Book(y)) mean?
Everyone reads every book.
There is someone who reads at least one book.
All books are read by someone.
No one reads any book.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the negation of the statement ∀x ∀y Studies(x, y)?
∃x ∃y ¬Studies(x, y)
∃x ∀y ¬Studies(x, y)
∃y ∀x ¬Studies(x, y)
∃x ∃y Studies(x, y)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Translate: 'There exists a teacher who teaches all subjects.'
∃x ∀y Teaches(x, y)
∃y ∀x Teaches(x, y)
∀x ∃y Teaches(x, y)
∃x ∃y Teaches(x, y)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Translate to logic: 'Every researcher cites at least one article.'
∃x ∃y (Researcher(x) ∧ Article(y) ∧ Cites(x, y))
∀x (Researcher(x) → ∃y (Article(y) ∧ Cites(x, y)))
∃x ∀y (Researcher(x) ∧ Cites(x, y))
∀x ∃y Cites(x, y)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which best describes ∃x ∀y (Has(x, y))?
Everyone has something.
There is someone who has everything.
Something is had by someone.
Everyone shares something.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the proper translation of 'Every parent loves their child'?
∀x ∃y (Parent(x, y) → Loves(x, y))
∃x ∀y (Parent(x, y) → Loves(x, y))
∀x ∀y (Parent(x, y) → Loves(x, y))
∃x ∃y (Parent(x, y) ∧ Loves(x, y))
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the correct representation of an empty set?
{∅}
{0}
∅
(0)
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