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?
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
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Posted by Salil
on 2013-10-18 02:48:18 |
Solution
