CAT 1998 Question Paper Question 68


Direction for the following two questions: Answer the questions based on the following information. Amar, Akbar and Anthony are three friends. Only three colours are available for their shirts, viz. red, green and blue. Amar does not wear red shirt. Akbar does not wear green shirt. Anthony does not wear blue shirt.

Question 68

If two of them wear the same colour, then how many of the following must be false? I. Amar wears blue and Akbar does not wear green II. Amar does not wear blue and Akbar wears blue III. Amar does not wear blue and Akbar does not wear blue IV. Amar wears green, Akbar does not wear red, Anthony does not wear green


The different possible cases are:

From the table we can see among all of the statements, only fourth statement is false, as if amar wears green, anthony has to wear green.

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