Related InterviewSolutions

• If `(p^^~r) to (~p vvq)` is false, then truth values of p,q and r are respectively.A. T,T,TB. T,F,TC. T,F,FD. F,T,T
• Statements `(p to q) harr (~q to ~p)`A. is contradictionB. is tautologyC. is neither contradiction not tautologyD. None of these
• The contrapositive of inverse of `p to ~ q` isA. `ptoq`B. `~ q to p`C. `q to p`D. `~q to ~p`
• The contrapositive of `(pvvq) to r` isA. `r to (pvvq)`B. `~r to (pvvq)`C. `~r to (~ p ^^~q)`D. `p to (qvvr)`
• If the inverse of implication ` p to q ` is defined as ` ~ p to ~q` , then the inverse of the proposition ` ( p ^^ ~ q) to r ` isA. `~r to (~pvvq)`B. `r to (p^^~q)`C. `~qvv(p^^r)`D. none of these
• Which of the following is logically equivalent to `~(~pto q)`?A. `p^^q`B. `p^^~q`C. `~p^^q`D. `~p^^~q`
• Which of the following is not a proposition ?A. `sqrt(3)` is a primeB. `sqrt(2)` is irrationalC. Mathematics is interestingD. 5 is an even integer
• For the statement: "If a quadilateral is a rectangle , then it has two paisrs of parallel sides", write the converse, inverse and contrapositive statements.
• Prove that `~(~pto ~q) -=~p ^^q`
• prove that `(p^^q) ^^~(pvvq)` is a contradiction.