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Question

Read the given information carefully and answer the question that follows:
Ratan, Anil, Pinku and Gaurav are brothers of Rakhi, Sangeeta, Pooja and Saroj, not necessarily in that order. Each boy has one sister and the names of bothers and sisters do not begin with the same letter. Pinku and Gaurav are not Saroj's or Sangeeta's brothers. Saroj is not Ratan's sister.
Which of the following are brother and sister?

A
Ratan and Pooja
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B
Anil and Saroj
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C
Pinku and Sangeeta
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D
Gaurav and Rakhi
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Solution

The correct option is B Anil and Saroj
Given that the names of brothers and sisters do not begin with the same letter.
Pinku and Gaurav are not Saroj or Sangeeta's brothers, Pinku cannot be the brother of Pooja, hence he is the brother of Rakhi.
Now, we have that Gaurav cannot be the brother of Saroj, Sangeeta or Rakhi. Therefore, Gaurav is the brother of Pooja.
Given that Saroj is not Ratan's sister and Rakhi and Pooja cannot be the sister's of Ratan (From above conclusions), Ratan is the brother of Sangeeta.
Anil will have to be the brother of Saroj as this is the only valid combination left. Therefore, we have this table finally.
Brother Sister
PinkuRakhi
GauravPooja
RatanSangeeta
AnilSaroj

Hence, option B is correct.

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