Home
Class 12
MATHS
If (p^^~r) to (~p vvq) is false, then tr...

If `(p^^~r) to (~p vvq)` is false, then truth values of p,q and r are respectively.

A

T,T,T

B

T,F,T

C

T,F,F

D

F,T,T

Text Solution

Verified by Experts

The correct Answer is:
C

`(p^^~r) to (~p vvq)` is false.
thus, `(p^^~r)` is true and `(~pvvq)` is false.
So, (p is true and `~r` is true) and (`~p` is false and q is false)
Therefore, p is true, r is false and q is false
Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos
  • MATHMETICAL REASONING

    CENGAGE|Exercise Exercise 10.2|5 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise JEE Previous Year|5 Videos
  • MATRICES

    CENGAGE|Exercise Multiple Correct Answer|7 Videos

Similar Questions

Explore conceptually related problems

If p to (qvvr) is false, then the truth values of p,q, and r are, respectively.

If the truth value of the statement p to (~q vee r) is false (F), then the truth values of the statements p,q and r are respectively

If pto(~pvvq) is false, then p and q are respectively

If p and q are true and r is false, then

Draw truth table for -p∧q

Draw truth table for p∧-q

If p,q and r are simple propositions with truth values T,F and T , respectively, then the truth value of (~pvvq) ^^~r to p is

The truth values of p,q are r for which (p^^q)vv(~r) has truth value F are respectively

Find the truth values of (i) ~ p to q " " (ii) ~ ( p to q)