Question

Let p and q be two statements as shown.

p: The carpet is rectangular.
q: The carpet is black.

Which of these correctly describes the truth value of the symbolic statement symbolic notation representing the logical statement either p or q and not p and q?

Answer 1

It is true when p is false and q is false.

It is false when p is true and q is false.

It is false when p is false and q is true.

It is false when p is true and q is true.

Answer 2

help?

Answer 3

help me understand the logical statement..

is it like this ?
(p or q) and ( (not p) and q)

Answer 4

so we have to select from wither of the option, right ??

Answer 5

*either

Answer 6

yeah select from one of these

Answer 7

those*

Answer 8

D

Answer 9

are you sure? :p

Answer 10

no.. .pls wait..... looks like i applied demorgam wrongly

Answer 11

Hey A looks like an Answer.. if u will read statement,
it says, true and not (p and Q)..

logically...

Answer 12

so a?

Answer 13

no

Answer 14

D is correct

Answer 15

@Ganpat if p = false, q = false,
then p or q becomes false, and the statement becomes false.

so its not A

Answer 16

the statement will become false : when p is true, and q is true, the second one, not (p and q) becomes false, and the whole statement becomes false.

so its D...

Answer 17

alright thank you!!!

Answer 18

welcome... :)

these are tricky...

here how to work it out step by step :

(p v q) ^ ~ ( p ^ q)
= (p v q) ^ (p' + q')
= pq' + p'q

from the above expression, it is clear that when both p & q are true, the statement evaluates to false.

Enjoy..

Answer 19

That carpet really tied the room together.