Question

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.
If two of them wear the same colour, then how many of the following must be false?

• A. None
• B. One
• C. Two
• D. Three

Hint:

When working with logical deduction problems, carefully check each statement against the given constraints to determine if it can be true or false.

Answer 1

The Correct Option is B

We are given the following options: - I. Amar wears blue and Akbar does not wear green: This is true, as Amar can wear blue and Akbar can wear red. - II. Amar does not wear blue and Akbar wears blue: This is false, as Amar must wear blue and Akbar cannot wear blue. - III. Amar does not wear blue and Akbar does not wear blue: This is true, as Amar can wear green and Akbar can wear red. - IV. Amar wears green, Akbar does not wear red, Anthony does not wear green: This is true, as the conditions are met. Thus, only one statement must be false.