Mathematics Practice Test – Logical Reasoning

Two statements are represented by p and q as follows:

p: He is brilliant
q: He is regular in class

Which of the following symbols represents the statement “He is regular in class but dull” (WASSCE 2008 FM)

Which of the following symbolic statements illustrates x? (NECO 2022)

Let

p: I pass mathematics
q: I pass physics

Conclusion:
I pass mathematics if and only if I pass physics. Translate the conclusion into symbol. (NECO 2022)

If p and q are two statements, under what condition would p ⇒ q be false? (WASSCE 2018)

A. if p is true and q is true
B. if p is true and q is false
C. if p is false and q is false
D. if p is false and q is true