GATE Mechanical 2019 Set 1 | GA | Question: 6

Question

Under a certain legal system, prisoners are allowed to make one statement. If their statements turns out to be true then they are hanged. If the statements turns to be false then they are shot. One prisoner made a statement and the judge had no option but to set him free. Which one of the following could be that statement?

• A. I did not commit the crime
• B. I committed the crime
• C. I will be shot
• D. You committed the crime

Answer 1

"I'll be shot"

If this is true he must be hanged but for the statement to be true he must be shot. So, not possible.

Correct Option: C.

Answer 2

Option C

Neither True nor False.

Answer 3

Option-C Because it is a prediction in which true and false takes place according to the statement that is why option C is correct option.

Answer 4

if statement is true , prisoner is hanged
if statement is false , prisoner is shot.
“i’ll be shot “
if his statement is true then he will be hanged , but if he is to be hanged, he should shot,to make his statement true . So the judge let him free as he couldn’t decide .

Answer 5

 Answer: C. I will be shot.
Explanation :
If the prisoner says “I will be shot,” a logical paradox is created. If the statement is true, then according to the rule he must be hanged, which makes the statement false. But if the statement is false, then he should be shot, which would make the statement true. Since neither punishment can be applied without violating the rule, the judge cannot logically decide between hanging or shooting him, and therefore has no option but to set the prisoner free.