Question
Let p, q, r be three logical statements. Consider the compound statements S_1:(( p) q) (( p) r) and S_2: p (q r) Then, which of the following is NOT true?
BITSAT
Mathematics
Mathematical Reasoning
2024
BITSAT 2024 (Memory Based Paper 1)
BITSAT Mathematics Question (2024) — Solution
Options
- A. If S_2 is true, then S_1 is true
- B. If S_2 is false, then S_1 is false
- C. If S_2 is false, then S_1 is true
- D. If S_1 is false, then S_2 is false
Answer
C. If S_2 is false, then S_1 is true
Step-by-step solution
Given statement S_1:( p q) ( p r) p (q r) S_2: p (q r) p (q r) By conditional law S_1 S_2
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