The Boolean expression (p $$\wedge$$ q) $$\Rightarrow$$ ((r $$\wedge$$ q) $$\wedge$$ p) is equivalent to :
JEE · Math · previous-year question
- A.(p $$\wedge$$ q) $$\Rightarrow$$ (r $$\wedge$$ q)correct
- B.(q $$\wedge$$ r) $$\Rightarrow$$ (p $$\wedge$$ q)
- C.(p $$\wedge$$ q) $$\Rightarrow$$ (r $$\vee$$ q)
- D.(p $$\wedge$$ r) $$\Rightarrow$$ (p $$\wedge$$ q)
Answer
A. (p $$\wedge$$ q) $$\Rightarrow$$ (r $$\wedge$$ q)
Explanation
given statement says "if p and q both happen then p and q and r will happen" it simply implies "If p and q both happen then 'r' too will happen" i.e. "if p and q both happen then r and p too will happen i.e. (p $$\wedge$$ q) $$\Rightarrow$$ (r $$\wedge$$ p)
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