wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The truth values of p,q andr for which (pq)(~r) has truth value F are respectively


A

F,T,F

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

F,F,F

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

T,T,T

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

T,F,F

No worries! We‘ve got your back. Try BYJU‘S free classes today!
E

F,F,T

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is E

F,F,T


Explanation for the correct option:

Form the truth table for the given expression to find the required solution as below:

pqr~rpqpq~r
TTTFTT
TTFTTT
TFTFFF
TFFTFT
FTTFFF
FTFTFT
FFTFFF
FFFTFT

Hence, from the truth table we can deduce that the truth value of pq~r is F for the truth values of p,q and r which are

T,F,T, F,T,T,or F,F,T respectively.

Among the given options, F,F,T is the only answer that matches with the given options.

Hence, option(E) is the correct answer.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Logical Connectives
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon