Question
Negation of the Boolean expression p ( q p ) is
BITSAT
Mathematics
Mathematical Reasoning
2023
BITSAT 2023 (Memory Based Paper 1)
BITSAT Mathematics Question (2023) — Solution
Options
- A. ( p) q
- B. ( p ) ( q )
- C. ( p ) ( q )
- D. ( p) ( q)
Answer
D. ( p) ( q)
Step-by-step solution
Given expression is p (q p) ( p ( q p )) ( p q )=( p q ) ( q p ) ( p ( q p )) =( p ( q p )) (( q p ) p ) ( p ( q p ))= p ( q p ) =(p p) q=c (q p) p=( q p) p = p ( q p) =( p q ) ( p p )= p q (p ( q p))=c ( p q)= p q
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