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← JEE Main 2017 · 8 Apr · Shift 1
MathematicsSingle correct+4 / -1Question 90 of 90

JEE Main 2017 · 8 Apr · Shift 1, Mathematics question 90

The proposition (∼p)∨(p∧∼q)(\sim p)\vee(p\wedge\sim q) is equivalent to :

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Answer and worked solution

Official answer: B

∼p∨(p∧∼q)=(∼p∨p)∧(∼p∨∼q)=∼p∨∼q\sim p\vee(p\wedge\sim q)=(\sim p\vee p)\wedge(\sim p\vee\sim q)=\sim p\vee\sim q, which is p→∼qp\to\sim q.

Topics:Mathematical reasoning
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