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MATHEMATICAL REASONING PART 5
1.
Which of the following pairs are logically equivalent?
Conditional, Contrapositive
Conditional, Inverse
Contrapositive, Converse
Inverse, Contrapositive
2.
Which of the following is contingency?
p v ~p
p ^ q => p v q
p ^ ~q
None of these
3.
The statement p v q is
A tautology
A contradiction
contingency
None of these
4.
Which of the following is a tautology?
p ^ q
p v q
p v ~p
p ^ ~p
5.
the statement p => p v q is
A tautology
A contradiction
both a tautology and contradiction
neither a tautology nor a contradiction
6.
If truth value of p v q is true , then truth value of ~p ^ q is
false if p is true
true if p is true
false if q is true
true if q is true
7.
The contrapositive of the statement ~p=> (p ^ ~q) is
p=>(~p v q)
p=>(p ^ q)
p=> (~p ^ q)
~p v q => p
8.
If p always speaks against q, then p=>p v~q is
a tautology
a contradictin
contingency
None of these
9.
When does the value of the statement (p ^ r)<=>(r ^ q) become false?
p is T, q is F
p is T, r is F
p is F, q is F and r is F
None of these
10.
Which of the following connectives satisfy commutative law?
^
v
<=>
All of the above
Answers
1 -> A
2 -> C
3 -> C
4 -> C
5 -> A
6 -> A
7 -> D
8 -> A
9 -> D
10 -> D