There is a group of five persons A, B, C, D a | vedclass

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(D) $1$. Identify the gender and status: $A$ and $D$ are unmarried ladies. Since $E$ is the husband in a married couple,the wife must be either $B$ or

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$E$

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(D) $1$. Identify the gender and status: $A$ and $D$ are unmarried ladies. Since $E$ is the husband in a married couple,the wife must be either $B$ or $C$. Since $B$ is the brother of $C$,$B$ is male. Thus,$C$ must be the wife of $E$.$2$. Identify the professions: There are three professors (Philosophy,Psychology,Economics). $A$ and $D$ are not professors. Therefore,$B, C,$ and $E$ must be the professors.$3$. Analyze constraints: $B$ is not a psychologist or an economist. Therefore,$B$ must be the Professor of Philosophy.$4$. Analyze remaining: $C$ and $E$ are the Professor of Psychology and the Professor of Economics. Since $C$ is the wife and $E$ is the husband,and we know $B$ is the brother of $C$,we look at the remaining roles. Given $B$ is the Professor of Philosophy,and $C$ is not specified as the economist,we evaluate the remaining options. Since $B$ is the Professor of Philosophy,and $C$ and $E$ share the remaining two roles,and $C$ is female,and no lady is an economist,$C$ cannot be the Professor of Economics. Therefore,$E$ must be the Professor of Economics.

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