Mathematical Reasoning & Induction · JEE Main previous year questions

2018 3 questions

1. Q302018 · 16 Apr 2018 · Shift 1

   If $p\to (\sim p\vee \sim q)$ is false, then the truth values of p and q are respectively :

   1. A.F, F
   2. B.T, F
   3. C.F, T
   4. D.T, T
   Show answer

   Answer: D

2. Q302018 · 15 Apr 2018 · Shift 1

   If $(p\wedge \sim q)\wedge (p\wedge r)\to \sim p\vee q$ is false, then the truth values of $p,q$ and $r$ are, respectively :

   1. A.F, T, F
   2. B.T, F, T
   3. C.T, T, T
   4. D.F, F, F
   Show answer

   Answer: B

3. Q302018 · 8 Apr 2018 · Shift 1

   The Boolean expression $\sim (p\vee q)\vee (\sim p\wedge q)$ is equivalent to :

   1. A.$\sim q$
   2. B.$\sim p$
   3. C.$\mathrm{p}$
   4. D.$\mathrm{q}$
   Show answer

   Answer: B