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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceOtherMediumConceptual

JEE Main 25 July 2022, Shift 2, Maths Q20

Question 20 of 90 in this shift, Maths question 20 of 30, Section A.

Consider the following statements : PP : Ramu is intelligent. QQ : Ramu is rich. RR : Ramu is not honest. The negation of the statement “Ramu is intelligent and honest if and only if Ramu is not rich” can be expressed as :
  1. (1)((P∧(∼R))∧Q)∧((∼Q)∧((∼P)∨R))((P\wedge(\sim R))\wedge Q)\wedge((\sim Q)\wedge((\sim P)\vee R))
  2. (2)((P∧R)∧Q)∨((∼Q)∧((∼P)∨(∼R)))((P\wedge R)\wedge Q)\vee((\sim Q)\wedge((\sim P)\vee(\sim R)))
  3. (3)((P∧R)∧Q)∧((∼Q)∧((∼P)∨(∼R)))((P\wedge R)\wedge Q)\wedge((\sim Q)\wedge((\sim P)\vee(\sim R)))
  4. (4)((P∧(∼R))∧Q)∨((∼Q)∧((∼P)∨R))((P\wedge(\sim R))\wedge Q)\vee((\sim Q)\wedge((\sim P)\vee R))Official answer

Official answer

Option 4

NTA final key.

Chapter
Mathematical Reasoning
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.