MTH202 Midterm Solved MCQs by Junaid

Q1. 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

Q2. The negation of “Today is Friday” is

•  Today is Saturday

 Today is not Friday

•  Today is Thursday
•  None of given

Q3. The converse of the conditional statement p  q is

q  p ~ q ~ p ~ p ~ q

Q4. Contra-positive of given statement “If it is raining, I will take an umbrella” is

 I will not take an umbrella if it is not raining. (Pg 19)

•  I will take an umbrella if it is

raining.

•  It is not raining or I will take an umbrella.

Q5. A statement is also referred to as a

 Proposition (pg 4)

•  Conclusion
•  Order

Q6. The statement “It is not raining if and only if roads are dry” is logically equivalent to

•  If roads are dry then it is not raining.

 Roads are dry if and only if it is not raining

•  If it is not raining then roads are dry.

Q7. The statement ~ (~ p)  p Describes

•  Commutative Law
•  Implication Laws

 Double negative law

•  Equivalence

Q8. 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

 Truth Table

•  Venn diagram
•  False Table

Q9. An argument is

if the conclusion is true when all the premises are true.

 Valid

(Pg 25)

•  Invalid
•  False

Q10. The row in the truth table of an argument where all premises are true is called

•  Valid row
•  Invalid row

 Critical row (Pg 27)

Q11. p  q is logically equivalent to ( p  q)

 (q  p) TRUE FALSE

Q12. According to biconditional 1+1=3 if and only if sky is yellow.

 TRUE (Pg 20)

•  FALSE

Q13. A statement that is always true regardless of the truth values of the statement variables called Tautology.

 TRUE (Pg 10)

 FALSE

Q14. If p and q are statement variables, then the conjunction of p and q is “p and q” denoted as " p  q".

 TRUE

 FALSE

Q15. For two sets A,B

A ∩ (B U C) = (A ∩ B) U(A∩ C) is called

1. Distributivity of intersection over union
2. Distributivity of union over intersection
3. None of these
4. Distributivity Law

Q16. Check whether

36  1 (mod 5) · 36 Modulus5 = 1 remainder · 33  3 (mod10)

Q33. Modulus10 = 3 remainder

1. Both are equivalent
2. Second one is equivalent but first one is not
3. First one is equivalent but second one is not

Correct answer: Both are equivalent

Q17. A binary relation R is called Partial order relation if

1. It is Reflexive and transitive
2. It is symmetric and transitive
3. It is reflexive, symmetric and transitive
4. It is reflexive, anti-symmetric and transitive (Pg 92)

Correct answer: It is reflexive, anti-symmetric and transitive (Pg 92)

Q18. The order pairs which are not present in a relation, must be present in

1. Inverse of that relation
2. Composition of relations
3. Complementary relation of that relation (pg 97)