Pen
Logic
Level
1
3 labels were on a pen case, 1, 2, and 3. They were all lying or all telling the truth. No two labels were the same.
A: B is marked 1
B: A is marked 2
C : I am marked 2
What was B marked?
The answer is 2.
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1 solution
Case 1: All telling truth
Markings
A-2
B-1
C-2
But 2 labels can not be same number, so case is a contradiction and not possible.
Case 2 : All telling lie
Markings
A- not 2
B- not 1
C- not 2
As A and C both aren't 2, B must be 2
Note : It must be mentioned in question that 2 pens can't have same number on them and only 1,2,3 are marked.