JEE Main 2015 · 11 Apr · Shift 1 · Mathematics Q90

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MathematicsSingle correct+4 / -1Question 90 of 90

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 equivalently expressed as :

\sim Q\leftrightarrow\sim P\wedge R

\sim Q\leftrightarrow\sim P\vee R

\sim Q\leftrightarrow P\vee\sim R

\sim Q\leftrightarrow P\wedge\sim R

Answer and worked solution

Official answer: D

The statement is $(P\wedge\sim R)\leftrightarrow Q$ . The negation of $A\leftrightarrow Q$ is $A\leftrightarrow\sim Q$ , i.e. $\sim Q\leftrightarrow(P\wedge\sim R)$ .

Topics:Mathematical reasoning

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JEE Main 2015 · 11 Apr · Shift 1, Mathematics question 90