Explore topic-wise MCQs in Logic.

In propositional logic , which of the following is equivalent to p q?

(P Q) is equivalent to

(P v Q) ^ (P R) ^ (Q R) is equivalent to

The functionally complete set is

What can we correctly say about proposition P1:
P1 : (p v q) ^ (q r) v (r v p)

(P v Q) ^ (P R )^ (Q S) is equivalent to

Consider two well-formed formulas in propositional logic
F1 : P P F2 : (P P) v ( P )
Which of the following statement is correct?

If F1, F2 and F3 are propositional formulae such that F1 ^ F2 F3 and F1 ^ F2 F3 are both tautologies, then which of the following is TRUE?

Which of the following are tautologies?

Shoe always has _____________.

Smith said, Lilly is wife of the grandson of my sister s mother. How is Smith related to Lilly?

Fill in the blank

ELFA GLHA ILJA _____ MLNA

Suresh, the son of Mahesh is married to Sia, whose sister Jia is married to Amar, the brother of Suresh. How is Jia related to Mahesh?

In a top secret message, if LIVING is coded as KGSHLD. How will BUDDHA be coded?

Look closely at the letter pattern and choose the series from the options given that will correctly fill the blank at the end of the series.

FAG, GAF, HAI, IAH, _______

Let p and q be propositions. Using only the truth table decide whether p q does not imply p q is

The correct prefix formula is

Which of the following is FALSE?
Read ^ as And, v as OR, ~as NOT, as one way implication and as two way implication?

Which of the following well-formed formula(s) are valid?

P (Q R) is equivalent to

In a maths class Riki divides 60 chalk sticks by half and adds fifteen. What answer does she show the Class?

A school organized a knockout football competition in which 23 teams played. What was the least number of matches they needed to play to decide the winner?

Pointing out to an elderly woman, Robin said, She is the daughter of the woman who is the mother of the husband of my mother . What is the woman s relationship to Robin?

David prefers Economics to Maths, English to Social science, and Political Science to History. If she prefers Maths to History, and Social science to Maths, which is David s least preferred subject?

The day before yesterday was Saturday. What day will it be the day after tomorrow?

Choose the most meaningful sequence for the following words.

1. Job

2. Independence

3. Study

4. Income

5. Exam

Samantha is your father s mother s grandson s daughter. Therefore, Samantha is your

In their class, Chumley, Peter, Kenel, Donald and Senthil are sitting on a bench. Chumley is sitting next to Peter, Kenel is sitting next to Donald. Donald is not sitting with Senthil. If Chumley and Senthil sit on either end of the bench where does Donald sit?

In the school midterm exams, David has lower marks than Dechen, but has more than Sonam. However, Karma also has more marks than David. Who has the lowest mark?

In an archery match, Peter s team got more scores than David s team but not as many as Smith s team. Smith s team got more scores than Taiwa s team. Taiwa s team got less score than David s team.

Which team is in second place in the descending order of scores?

Which of the following is a declarative statement?

Let a, b, c, d be propositions. Assume that the equivalence a (b v b) and b c hold. Then truth value of the formula ( a ^ b) ((a ^ c) v d) is always

Identify the valid conclusion from the premises Pv Q, Q R, P M, M

Logical [removed] A^ B) ( C' ^ A) ( A 1) is

Which of the following is/are tautology?

Which of the proposition is p^ (~ p v q) is

Which of the following propositions is tautology?