GO Classes Weekly Quiz 5 | Propositional Logic | Question: 14

Answer 1

As per question,

if $x^2$ >= 25 then x >= 6

but the proof shows the converse and has started with what had to be proved ultimately thus option c is correct.

Answer 2

questions says  

p= x>=6

q= x^2 >= 25

p if q it will be

q implies p

but its proof says p implies q

hence option c

Answer 3

The proof is not correct because converse of a statement is not true.

P → Q != Q → P (converse isn’t true)

P → Q == (~Q → ~P) (contrapositive is true)

Comments

same doubt bhai did you find why this proof by converse is true?

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I said proof by converse is never true. In the proof it is given converse of the statement so proof is false.