can-you-solve-the-hardest-logic-puzzle-in-the-world-

Question Number 831 by malwaan last updated on 23/Mar/15

c a n y o u s o l v e t h e h a r d e s t l o g i c p u z z l e i n t h e w o r l d

Commented by prakash jain last updated on 24/Mar/15

three gods and three questions ?

Commented by malwaan last updated on 21/Mar/15

y e s

Answered by prakash jain last updated on 24/Mar/15

Let say three gods are A, B and C .

Ask B a question .

If I ask you if A is random will you say^{'} {ja}^{'} .

If B is True or False .

Response^{'} {ja}^{'} will imply^{'} A^{'} is random .

Response^{'} {da}^{'} will imply^{'} A^{'} is not random .

So if B answer^{'} {ja}^{'} either B or A is random .

\Rightarrow C is not random .

So if B answer^{'} {da}^{'} either B is random

or if B is not random then A is not random .

\Rightarrow A is not random .

Next 2 question to the god identified to be

not random (true or false)

Q 1 . If I ask you if A is True will you say^{'} {ja}^{'} .

Response^{'} {ja}^{'} will imply A is True .

Response^{'} {da}^{'} \Rightarrow A is false .

Q 2 . If I ask you if B is random will you say^{'} {ja}^{'} .

These 2 questions along with the first question

will establish the identities .

Commented by malwaan last updated on 24/Mar/15

I w i l l t r y t o u n d e r s t a n d s o o n

n o w I c a n t

Commented by prakash jain last updated on 24/Mar/15

Writing a few cases for first question to B .

If B is false, ja means no .

If A is random

B answer to question^{'} is A {random}^{'} is ja .

But the question asked is will you say^{'} {ja}^{'} .

So B answer to combined question will

be^{'} {ja}^{'} .

If A is not random .

B answer to question^{'} is A {random}^{'} is da .

But the question asked is will you say^{'} {ja}^{'} .

So B answer to combined question will

be^{'} {da}^{'} .

If you list all cases you will realize because

there is embedded question . False will need

to gives false answer twice making {False}^{'} s answer

same as {True}^{'} s answer .

So the first question can be used to filter

out random .