Question

Let p, q and r be the propositions. p: You are a student of Govt. College of

science. q: You get first position in the college. r: You get first position in

University of the Punjab. i) You are a student of Govt. College of science, but

You do not get first position in the college. ii) You will get first position in

University of the Punjab if and only if You get first position in the college or You

are a student of Govt. College of science.

Answer 1

Let $p, q$ and $r$ be the propositions.

$p$ : You are a student of Govt. College of science.

$q$ : You get first position in the college.

$r$ : You get first position in university of the Punjab.

i) It follows that the formula for the statemet "You are a student of Govt. College of science, but you do not get first position in the college." is $p\land\neg q.$

ii) It follows that the formula for the statemet "You will get first position in university of the Punjab if and only if you get first position in the college or you are a student of Govt. College of science." is $r\leftrightarrow q\lor p.$