AIEEE 2008 Solved Paper

Section: Mathematics

Question : 100 of 104

Marks: +1, -0

Let p be the statement " x is an irrational number", q be the statement " y is a transcendental number", and r be the statement " x is a rational number iff y is a transcendental number".
Statement −1:r is equivalent to either q or p.
Statement −2:r is equivalent to ∼(p↔∼q)

[AIEEE 2008]

Statement −1 is true, Statement −2 is false
Statement −1 is false, Statement −2 is true
Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement -1
Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement -1

Validate

p	q	∼p	∼q	‌‌‌‌‌r ∼p↔q	Statement I ‌‌‌‌‌q∨p	p↔∼q	Statement II ∼(p↔∼q)
T	T	F	F	F	T	F	T
T	F	F	T	T	T	T	F
F	T	T	F	T	T	T	F
F	F	T	T	F	F	F	T

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