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APMOPS 2011 Question 29

APMOPS · APMOPS 2011

Question 29

Anthony, Benjamin and Cain were interviewed to find out how many hours they spend on the computer in a day. They gave these replies.

Anthony: I spend 4 hours on the computer. I spend 3 hours on the computer less than Benjamin. I spend 2 hours on the computer less than Cain.

Benjamin: Cain spends 5 hours on the computer. The time I spend on the computer differs from Cain’s time by 2 hours. The time I spend on the computer is not the least among the three of us.

Cain: I spend more time on the computer than Anthony. I spend 4 hours on the computer. Benjamin spends 3 hours on the computer more than Anthony.

If only two of the three statements made by each boy are true, find the number of hours that Anthony spends on the computer in a day.