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?

Let's break down the information given for the six women: 1. **Bank Employees (BE):** There are 3 bank employees. * Vimala and Kamla are bank employees. (So, Vimala = BE, Kamla = BE). * Amala and Komala are unemployed (meaning they are NOT bank employees). * This leaves one more bank employee. 2. **Postgraduates in Sociology (PGS):** There are 4 postgraduates in Sociology. * Amala, Kamla, Komala, and Nirmala are postgraduates in Sociology. (So, Amala = PGS, Kamla = PGS, Komala = PGS, Nirmala = PGS). 3. **Bank Employees among PGS:** "Of whom two are bank employees" (referring to the four PGS). * We know Kamla is a BE and a PGS. So, she is one of the two. * Amala and Komala are PGS but NOT BE (as they are unemployed). * Therefore, Nirmala must be the other BE among the PGS. (So, Nirmala = BE). *Consolidated BEs so far:* Vimala, Kamla, Nirmala. This accounts for all 3 bank employees. *This also confirms that Amala, Komala, and Shyamala are NOT bank employees.* 4. **Tennis Players (TP):** There are 4 tennis players. * Komala and Nirmala are among the tennis players. (So, Komala = TP, Nirmala = TP). 5. **Postgraduate in Commerce (PGC):** There is 1 postgraduate in Commerce. * Shyamala is a postgraduate in Commerce. (So, Shyamala = PGC). Now, let's summarize the key attributes for each woman, focusing on "tennis player" (TP) and "bank employee" (BE): * **Vimala:** BE. (TP status unknown) * **Kamla:** BE. (TP status unknown) * **Amala:** NOT BE (unemployed). (TP status unknown) * **Komala:** NOT BE (unemployed), TP. * **Nirmala:** BE, TP. * **Shyamala:** NOT BE (since Vimala, Kamla, Nirmala are the 3 BEs). (TP status unknown) The question asks: "who among the following is both a tennis player and a bank employee?" Let's check the options: * **A) Amala:** Not a bank employee. * **B) Komala:** Is a tennis player, but not a bank employee. * **C) Nirmala:** Is both a bank employee AND a tennis player. * **D) Shyamala:** Not a bank employee. Therefore, Nirmala is both a tennis player and a bank employee. The final answer is C