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Smart Man (Posted on 2013-10-17) Difficulty: 3 of 5
Of Al, Ben and Cal, only one man is smart.
Al says truthfully:
    1. If I am not smart, I will not pass Physics.
    2. If I am smart, I will pass Chemistry.

Ben says truthfully:
    1. If I am not smart, I will not pass Chemistry.
    2. If I am smart, I will pass Physics.

Cal says truthfully:
    1. If I am not smart, I will not pass Physics.
    2. If I am smart, I will pass Physics.
It is known that:
   I. The smart man is the only man to pass one 
particular subject.
   II. The smart man is also the only man to fail 
the other particular subject.
Which one of the three men is smart and why?

See The Solution Submitted by K Sengupta    
Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 2 of 3 |

Let S = Smart X= Fail and Y = pass then

If AS then AXP and if A=S then AYP

If BS then BXC and if B=S then BYP

If CS then CXP and If C=S then CYP

 

1) If A were smart and B and C were not

AYC, AXP, BXC, CXP(is not possible)

2) If B were smart and A and C were not

BYP, BXC, AXP, CXP

3) If C were smart and A and B were not

CYP, CXC, BXC(is not possible), AXP

So B is smart and A and C are not

Inequality sign is not visible???

Edited on October 18, 2013, 2:51 am
  Posted by Salil on 2013-10-18 02:48:18

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