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Logical Reasoning - SS2 Mathematics Past Questions and Answers - page 1

1

The contrapositive of a compound statement pq is ______

A
 qp 
B
 p⇒∼q 
C
q⇒∼p 
D
pq 
2

The inverse of a compound statement pq is __

A
qp
B
p⇒∼q
C
q⇒∼p
D
pq
3

The converse of a compound statement pq is ___

A
qp
B
p⇒∼q
C
q⇒∼p
D
pq
4

Which is a logical equivalent to q⇒∼p?

A
qp
B
p⇒∼q
C
q⇒∼p
D
pq
5

A compound statement that is always true irrespective of the truth values of its sub statements is a __

A

contradiction

B

tautology

C

contrapositive

D

inverse

6

Given:

p:He is very hard working

q:He is very intelligent

r:He will succeed

Give a verb statement that describes each of the following:

  1. pq

  2. (pq)

  3. (pq)r

  4. r(qp)

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