2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Fallacy
If the truth ...
Question
If the truth value of the statement
(
P
∧
(
∼
R
)
)
→
(
(
∼
R
)
∧
Q
)
is
F
, then the truth value of which of the following is
F
?
Open in App
Solution
P
∧
(
∼
R
)
X
→
(
(
∼
R
)
∧
Q
)
Y
=
False
X
→
Y
=
False
X
Y
X
→
Y
F
F
T
T
T
T
F
T
T
T
F
F
P
∧
∼
R
=
T
and
(
∼
R
)
∧
Q
=
F
⇒
P
=
T
∼
R
=
T
⇒
R
=
F
⇒
P
=
T
,
Q
=
F
and
R
=
F
T
∧
Q
=
F
⇒
Q
=
F
Now
∼
(
R
∨
Q
)
→
∼
P
∼
(
F
∨
F
)
→
F
F
→
F
=
False
Suggest Corrections
7
Similar questions
Q.
If the truth value of the statement
p
→
(
∼
q
∨
r
)
is false
(
F
)
,
then the truth values of the statements
p
,
q
,
r
are respectively :
Q.
State the following statement is True or False
If
p
,
q
,
r
are statements, with truth values T, F, T respectively, then the truth value of
(
∼
p
∨
q
)
∧
∼
r
⇒
p
is T
Q.
State the following statement is True or False
If
p
,
q
,
r
are statements with truth values T, F, T respectively, then the truth value of
(
∼
p
∨
q
)
∧
∼
r
→
p
, is T
Q.
Let
p
,
q
,
r
be three statements such that the truth value of
(
p
∧
q
)
→
(
∼
q
∨
r
)
is
F
. Then the truth values of
p
,
q
,
r
are respectively:
Q.
If the truth value of the statement
p
→
(
∼
q
∨
r
)
is false
(
F
)
,
then the truth values of the statements
p
,
q
,
r
are respectively :
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
MATHEMATICS
Watch in App
Explore more
Fallacy
Standard XI Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app