Mathematical Logic And Boolean Algebra Question 136

Question: If p, q, r are simple propositions, then $ (p\wedge q)\wedge (q\wedge r) $ is true then

Options:

A) p, q, r are all false

B) p, q, r are all true

C) p, q are true and r is false

D) p is true and q and r are false

Show Answer

Answer:

Correct Answer: B

Solution:

$ (p\wedge q)\wedge (q\wedge r) $ is true means $ p\wedge q $ , $ q\wedge r $ are both true. Þ p, q, r are all true.