Home
Class 12
MATHS
if p is true and q is false, then...

if p is true and q is false, then

A

`~(pvv~q)` is true

B

`~(~p^^~q)` is false

C

`(p^^q)vv(p^^~q)` is true

D

`(pvvq)^^(qvv~q)` is false

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos

  • LINEAR PROGRAMMING

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|63 Videos

Similar Questions

Explore conceptually related problems

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

If p is true and q is unknown, then __________

p vee q is false when

Let f(x) = (1 - x)2sin2x + x2 for all x ∈ R, and let g(x) = ∫(2(t - 1)/(t + 1) - ln t)f(t)dt for t ∈ [1, x] for all x ∈ (1, ∞). Consider the statements: P: There exists some x ∈ R, such that f(x) + 2x = 2(1 + x2) Q: There exists some x ∈ R, such that 2f(x) + 1 = 2x(1 + x) (A) both P and Q are true (B) P is true and Q is false (C) P is false and Q is true (D) both P and Q are false.

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

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

For the following question, choose the correct answer from the codes (a), (b), (c) and (d) defined as follows: Statement I is true, Statement II is also true; Statement II is the correct explanation of Statement I. Statement I is true, Statement II is also true; Statement II is not the correct explanation of Statement I. Statement I is true; Statement II is false Statement I is false; Statement II is true. Let a , b , c , p , q be the real numbers. Suppose alpha,beta are the roots of the equation x^2+2p x+q=0 and alpha,beta/2 are the roots of the equation a x^2+2b x+c=0, where beta^2 !in {-1,0,1}dot Statement I (p^2-q)(b^2-a c)geq0 and Statement II b !in p a or c !in q adot

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

If the statements (p^^~r) to (qvvr) , q and r are all false, then p

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