Home
Class 12
MATHS
Which of the following is not true for a...

Which of the following is not true for any two statements p and q?

A

`~[pvv(~q)] -= ~p ^^ q`

B

`(p vv q) vv (~q)` is a tautology

C

`~(p ^^ ~p) ` is a tautology

D

`~(p vv q) -= ~p vv ~q`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise CRITICAL THINKING|34 Videos

  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Evaluation Test|11 Videos

  • MATRICES

    TARGET PUBLICATION|Exercise EVALUATION TEST|13 Videos

Similar Questions

Explore conceptually related problems

Which of the following is true for any two statements p and q ?

Which of the following is not true regarding the statement "p if and only if q"?

p : if two integers· a and b are such· that a gt b then a - b is always a positive integer: q : If two integers a and b are such that a - b is always a positive integer, then a gt b Which of the following is true regarding statements pane q?

Which of the following is true for the propositions p and q ?

Which of the following statements is false when p is true and q is false?

If each of the statements p rarr ~ q ,~ r rarr q and p are true then which of the following is not true? (A) q is false (B) r is true (C) r rarr q is false (D) r^^ ~q is false

Which of the following statements are true (T) and which are false (F)? There does not exist any whole number p for which p div p = p .

Which of the following statements are true (T) and which are false (F)? There exists a whole number q such that q div q = q .