Mathematics Practice Test – Logical Reasoning

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

The contrapositive of the conditional statement: if a student passes the test, then they score above 50% is ________

A. if a student passes the test, then they score above 50%
B. if a student does not score above 50%, then they fail the test
C. if a student does not pass the test, then they score below 50%
D. if a student score above 50%, then they pass the test

Which of the following is a simple logical statement?

A. How are you?
B. A quadrilateral has four sides
C. Do not go outside now
D. Please sit down

Find the inverse of the conditional statement:

If x² = 4, then x = 2

A. If x² ≠ 4, then x ≠ 2
B. If x² ≠ 2, then x² = 4
C. If x² = 4, then x = 2
D. If x ≠ 2, then x² ≠ 4

Let

y: Every great city was not built in a day
x: Kano is a great city

Which of these statements is true? (NECO 2019)

A. Every great city was built in a day
B. Kano was built in a day
C. Kano was not built in a day
D. Kano is not a great city