Basic Truth Tables

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Cierra Henderson, MBA |
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Attempts: 32 | Questions: 10 | Updated: Jan 20, 2026
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1) P ∧ q for p = T, q = F.

Explanation

T ∧ F = F.

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About This Quiz
Basic Truth Tables - Quiz

True or false? Logic comes down to clarity. In this quiz, you’ll build and analyze basic truth tables, learning how statements and their negations interact. Try this quiz to build a strong foundation in mathematical logic.

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2) P ∨ q for p = F, q = F.

Explanation

F ∨ F = F (both false).

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3) ¬(p ∨ q) for p = F, q = F.

Explanation

p ∨ q = F, so ¬(F) = T.

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4) P ∧ q for p = T, q = T.

Explanation

T ∧ T = T.

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5) P ∨ q for p = T, q = F.

Explanation

T ∨ F = T (at least one true).

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6) ¬(p ∨ q) for p = T, q = F.

Explanation

p ∨ q = T, so ¬(T) = F.

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7) P ∨ ¬q for p = F, q = F.

Explanation

q = F → ¬q = T; F ∨ T = T.

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8) P ∨ ¬q for p = F, q = T.

Explanation

q = T → ¬q = F; F ∨ F = F.

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9) P pp for p = T.

Explanation

Negation of True is False.

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10) P ∧ pq for p = T, q = F.

Explanation

q = F → ¬q = T; T ∧ T = T.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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P ∧ q for p = T, q = F.
P ∨ q for p = F, q = F.
¬(p ∨ q) for p = F, q = F.
P ∧ q for p = T, q = T.
P ∨ q for p = T, q = F.
¬(p ∨ q) for p = T, q = F.
P ∨ ¬q for p = F, q = F.
P ∨ ¬q for p = F, q = T.
P pp for p = T.
P ∧ pq for p = T, q = F.
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