JEE Main 2011 — Mathematical Reasoning Question with Solution
From: AIEEE 2011
Question
Consider the following statements
P : Suman is brilliant
Q : Suman is rich
R : Suman is honest
The negation of the statement,
“Suman is brilliant and dishonest if and only if Suman is rich” can be expressed as :
P : Suman is brilliant
Q : Suman is rich
R : Suman is honest
The negation of the statement,
“Suman is brilliant and dishonest if and only if Suman is rich” can be expressed as :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
"Suman is brilliant and dishonest" an be expressed as :
So “Suman is brilliant and dishonest if and only if Suman is rich” can be expressed as :
Now negation of this =
You should know,
So,
So “Suman is brilliant and dishonest if and only if Suman is rich” can be expressed as :
Now negation of this =
You should know,
So,
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This is a previous-year question from JEE Main 2011, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.