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In a group of six women, there are four tennis players,four postgraduates in Sociology,one postgraduate in Commerce and three bank employees. Vimala and Kamla are the bank employees while Amala and Komala are unemployed. Komala and Nirmala are among the tennis players.Amala,Kamla,Komala and Nirmala are postgraduates in Sociology of whom two are bank employees. If Shyamala is a postgraduate in Commerce, who among the following is both a tennis player and a bank employee? 

(a) Amala 

(b) Komala 

(c) Nirmala 

(d) Shyamala

1 Answer

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Best answer

Let’s list down the information given in the question in tabular format.

Name Tennis Player Postgraduate in Bank Employee
Vimla Yes
Kamla Sociology Sociology Yes
Amala Sociology Sociology No (Unemployed)
Komala Yes Sociology No (Unemployed)
Nirmala Yes Sociology
Shyamala Commerce

Now,there were 4 post graduates in sociology and one in commerce. All have been accounted for. Hence,Vimla is not a post graduate either in sociology or commerce. 

Among Kamla, Amala, Komala and Nirmala there are 2 bank employees. We already know that Kamla is a bank employee and Amala and Komala are not. Hence, Nirmala must be a bank employee too. Hence, all the three bank employees are accounted for too. 

However, there are still two tennis players unaccounted for. The updated information can again be shown in the form of a table:

Name Tennis Player Postgraduate in Bank Employee
Vimla - Yes
Kamla Sociology Yes
Amala Sociology No (Unemployed)
Komala Yes Sociology No (Unemployed)
Nirmala Yes Sociology Yes
Shyamala Commerce No

Nirmala is both a tennis player and a bank employee. 

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