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This set of Symbolic Logic Multiple Choice Questions & Answers (MCQs) focuses on Symbolic Logic Set 4

Q1 | In implication if p is true and q is true, p כ q is -------
  • true
  • false
  • cannot be determined
  • none of these
Q2 | In Disjunction if p is true and q is true, p v q is -------
  • false
  • true
  • cannot be determined
  • none of these
Q3 | ‘Ramesh is honest and Dinesh is intelligent’ is a ------- proposition.
  • general
  • simple
  • compound
  • none of these
Q4 | Which word is used to form the disjunction of two statements?
  • either or
  • and
  • if -- then
  • none of these
Q5 | What is the truth value of a conjunction, if both of its conjuncts are true ?
  • false
  • true
  • cannot be determined
  • none of these
Q6 | p. q. . p This rule of inference is known as -------
  • modus ponens
  • modus tollens
  • simplification
  • none of these
Q7 | The negation of a true statement is ---------
  • false
  • true
  • cannot be determined
  • none of these
Q8 | A valid argument with all true premises is termed as ------- argument
  • cogent
  • sound
  • cannot be determined
  • none of these
Q9 | The falsehood of conclusion in an argument does not guarantee the ------ ofan argument
  • validity
  • invalidity
  • both a and b
  • none of these
Q10 | ‘Roses are red and Violets are blue’ is a ----------- statement
  • negation
  • conjunctive
  • implication
  • material
Q11 | A conjunction is true if both of its conjuncts are ----------
  • false
  • true
  • cannot be determined
  • none of these
Q12 | ‘Shiv is tall and Ramu is short’ is a ------ statement
  • simple
  • compound
  • general
  • none of these
Q13 | ‘Roses are red and Violets are not blue’ is symbolized as ------
  • r.v
  • r . ~ v
  • r v v
  • none of these
Q14 | If B is true, Y is false , then the truth value of the compound statement~ ( B. ~ Y) is -----
  • false
  • true
  • cannot be determined
  • none of these
Q15 | ‘Either P or Q will be selected’ is symbolized as
  • p.q
  • p v q
  • p כ q
  • none of these
Q16 | If A is true, X is false, then the truth value of the compound statement~ ( A v X ) is -----
  • false
  • true
  • cannot be determined
  • none of these
Q17 | Bi-conditional proposition is a ----- proposition
  • implication
  • disjunction
  • simple
  • compound
Q18 | _________ symbol is used to connect statements conjunctively.
  • horseshoe
  • wedge
  • tilde
  • none of these
Q19 | Two statements are logically equivalent when their material equivalence is a-----
  • contradiction
  • contingent
  • conjunction
  • tautology
Q20 | ‘I will go to the cinema if and only if my friend comes with me’ is a ---proposition
  • implication
  • disjunction
  • negation
  • biconditional
Q21 | The statement form with only false substitution instances is called _________.
  • contradiction
  • contingent
  • conjunction
  • tautology
Q22 | The statement form with only true substitution instances is called _________.
  • contradiction
  • contingent
  • conjunction
  • tautology
Q23 | ‘p v q’ is false if _________.
  • only p is false
  • both p and q are true
  • both p and q are false
  • none of
Q24 | ‘Arjun is honest but Ganesh is sincere’ is symbolized as----
  • a v g
  • a . g
  • a כ~ g
  • none of these
Q25 | ‘If antecedent, then consequent’ is a general form of .______.
  • implication
  • disjunction
  • negation
  • argument