Home
Class 12
MATHS
If p,q and r are simple propositions suc...

If p,q and r are simple propositions such that `(p^^q)^^(q^^r)` is true, then

A

p,q and r are all false

B

p,q and r are all true

C

p,qare true and r is false

D

p is true and q, r are false

Text Solution

Verified by Experts

The correct Answer is:
B
`(p^^q) ^^(q^^r)` is true which means that `p^^q` and `q^^r` are both true.
Therefore, p,q and r are all true,.
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 Solved Examples And Exercises|165 Videos

Similar Questions

Explore conceptually related problems

The proposition p to ~ (p^^~ q) is

The proposition p to ~ (p ^^ q) is

for any three propositions p,q and r, the proposition ( p ^^ q) ^^ ( q ^^ r) is true when

If p and q are two propositions, then ~ ( p harr q) is

If p, q are two propositions then (p vv ~q)^^( ~p^^q) is

The proposition p to ~ (p ^^ ~ q) is

If p and q are two simple propositions, then p to q is false when

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