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Question
Mathematics
The Boolean expression ∼ ( p ∨ q) ∨ (∼ p ∧ q) is equivalent to :
Q. The Boolean expression
∼
(
p
∨
q
)
∨
(
∼
p
∧
q
)
is equivalent to :
1256
170
JEE Main
JEE Main 2018
Mathematical Reasoning
Report Error
A
∼
p
47%
B
p
19%
C
q
16%
D
∼
q
19%
Solution:
∼
(
p
∨
q
)
∨
(
∼
p
∧
q
)
By property,
(
∼
p
∧
∼
q
)
∨
(
∼
p
∧
q
)
=∼
p