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← JEE Main 2015 · 4 Apr · Shift 1
MathematicsSingle correct+4 / -1Question 90 of 90

JEE Main 2015 · 4 Apr · Shift 1, Mathematics question 90

The negation of ∼s∨(∼r∧s)\sim s\vee(\sim r\wedge s) is equivalent to :

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Answer and worked solution

Official answer: D

∼[∼s∨(∼r∧s)]=s∧(r∨∼s)=(s∧r)∨(s∧∼s)=s∧r.\sim[\sim s\vee(\sim r\wedge s)]=s\wedge(r\vee\sim s)=(s\wedge r)\vee(s\wedge\sim s)=s\wedge r.