Home
Class 12
MATHS
If q is false and (p^^q) harr r is also ...

If `q` is false and `(p^^q) harr r` is also true then which of the following are tautology

A

`(p vee r) to(p wedge r)`

B

`p vee r`

C

`p wedge r`

D

`(p wedge r) rarr (p vee r)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

If p is true and q is false, then which of the following statements is NOT true ?

Which of the following is a tautology? (p being any statement)

Given three statements P: 5 is a prime number, Q:7 is a factor of 192, R:The LCM of 5 & 7 is 35 Then which of the following statements are true (a) P v (~Q^^R) (b) ~P^^(~Q^^R) (c) (PvQ)^^~R (d) ~P^^(~Q^^R)

P is the set of factors of 5, Q is the set of factors of 25 and R is the set of factors of 125. Which of the following is false? (A) P subset Q (B) Q subset R (C) R subset P (D) P subset R

In the truth table for the statements ( p to q) harr(~p vvq) , the last column has the truth value in the following order

Statements (p to q) harr (q to p)

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

Consider the set of all lines px+qy+r=0 such that 3p+2q+4r=0. Which one of the following statements is true ?

In each of the statements pto~q~rtoq and p is true, then

The following statement (p to q) to [(~p to q) to q] is

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to

    Text Solution

    |

  2. Given three statements P: 5 is a prime number, Q:7 is a factor of 192,...

    Text Solution

    |

  3. If q is false and (p^^q) harr r is also true then which of the followi...

    Text Solution

    |

  4. The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p ...

    Text Solution

    |

  5. (~pvv~q) is logically equivalent to

    Text Solution

    |

  6. Average height & variance of 5 students in a class is 150cm and 18cm^2...

    Text Solution

    |

  7. A data consists of n observations x(1), x(2), ..., x(n). If Sigma(i=1)...

    Text Solution

    |

  8. The mean of five observations is 5 and their variance is 9.20. If thr...

    Text Solution

    |

  9. The mean and standart deviation of five observations x1,x2,x3,x4,x5 an...

    Text Solution

    |

  10. The outcome of each of 30 items was observed , 10 items gave an outcom...

    Text Solution

    |

  11. Contrapositive of the statement ''If two numbers are not equal, then t...

    Text Solution

    |

  12. There are 30 white balls and 10 red balls in bag. 16 balls are drawn w...

    Text Solution

    |

  13. If the sum of the deviations of 50 observations from 30 is 50, then th...

    Text Solution

    |

  14. Mean and variance of five observations are 4 and 5.2 respectively. If ...

    Text Solution

    |

  15. The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2...

    Text Solution

    |

  16. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

  17. If the system of equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

    Text Solution

    |

  18. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

    Text Solution

    |

  19. If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...

    Text Solution

    |

  20. Using the properties of determinants, prove that following |(a-b-c,2a,...

    Text Solution

    |