Logical Propositions Quiz

The __________ of a proposition is generally formed by introducing the word "not" at the proper place

1.       Which one is the contra positive of  q →p

• p → q

• ¬p → q

• ¬q→¬ p

• None of these

Let 'p' be "He is tall" and let 'q' be "He is handsome". Then the statement "It is false that he is short or handsome" is:

• p Λ q

• 7(7p ˅ q)

• p˅ 7q

• 7p ˅ q

p → q is logically equivalent to

• 7p → 7q

• 7p → q

• 7p ∧ q

• 7p ˅ q

The symbolic form of The inverse of the statement: "If n is not a multiple of 12 then n is not a multiple of 4" is ……………….

A compound proposition involving logical variables that is always true for all possible truth values of the variables in it is called a………………

A compound proposition which is neither a tautology nor a contradiction is called a

Let P and Q be compound propositions P is said to logically imply Q denoted P⇒Q if…..

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The symbolic form of "If Alexander Graham Bell invented telephone, then I am the president of India" is ……………….

a Λ a Ξ F……………….(true r false)

• true

• false