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Lecturer Mathematics
Punjab Public Service Commission Pakistan
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Fani Warraich
MATHEMATICS

Algebra
Solve the equation 2/6 (3a + 2b) – 1/2 (2a + 4b) 2(12a – 6b)?
A. 6a – 7b.
B. 2a + 4b.
C. 5a + 6b.
D. 7a – 8b.
Fani Warraich
MATHEMATICS

Calculus
The solution set of the inequality x + 4 ≥ 2 is
A. ( , 6] [2, ).
B. ( ,6] [ 2, ) .
C. ( , 6] [ 2, ) .
D. None of these.
Fani Warraich
MATHEMATICS

Discrete Mathematics
If p= It is raining q = She will go to college. "It is raining and she will not go to college” will be denoted by
A. p ^ q.
B. p ^ ~ q.
C. All of these.
D. None of these.
Bashir Farooqi
MATHEMATICS

Discrete Mathematics
The negation of “Today is Friday” is
A. Today is Saturday.
B. Today is Thursday.
C. Today is not Friday.
D. None of these.
Bashir Farooqi
MATHEMATICS

Discrete Mathematics
Contrapositive of given statement “If it is raining, I will take an umbrella” is
A. It is not raining or I will take an umbrella..
B. I will not take an umbrella if it is not raining.
C. I will take an umbrella if it is raining.
D. None of these.
Bashir Farooqi
MATHEMATICS

Discrete Mathematics
A statement is also referred to as a
A. Preposition.
B. Proposition.
C. Disposition.
D. None of these.
Bashir Farooqi
MATHEMATICS

Discrete Mathematics
The statement ~ (~ ) p = p Describes
A. Commutative Law.
B. Double negative law.
C. Equivalence.
D. Implication Laws.
Bashir Farooqi
MATHEMATICS

Discrete Mathematics
An arrangement of rows and columns that specifies the truth value of a compound proposition for all possible truth values of its constituent propositions is called
A. Venn diagram.
B. Truth Table.
C. False Table.
D. None of these.
Bashir Farooqi
MATHEMATICS

Discrete Mathematics
An argument is _____ if the conclusion is true when all the premises are true.
A. Valid.
B. Invalid.
C. False.
D. None of these.
Bashir Farooqi
MATHEMATICS

Discrete Mathematics
The row in the truth table of an argument where all premises are true is called
A. Critical row.
B. Valid row.
C. Invalid row.
D. None of these.
Contributor(2)
Fani Warraich
Bashir Farooqi