# Day 5 The Inner Sanctum

• Cure is in Red Bottle.

The bottle red contains label saying "At least two of these bottles were made by Menes"
This statement either can be true or false.
If the statement is True then that bottle was made by Nil
Then other two bottles were made by Menes.

Because Menes is always telling lies both labels in bottle yellow and blue are false. Then both of those bottles contains poison and the remaining bottle Red contains the cure.

Lets assume the bottle red was made by Menes. Then the statement on the bottle also false. Then Menses has created only one bottle and which is the bottle red.

In that case remaining bottles Yellow and Blu bottles were made by Nil. Then statements on those bottles should be right. Both yellow and Blue bottles says it is the cure which should be correct but our initial condition "Two of the bottles contain deadly diseases" will not fulfill.

Therefore the statement on bottle Red should be correct and it wad made by Nil. Since Menes has put false statements on Bottle Yellow and Blue They were poisons and Bottle Red contains cure.

Siegloewe

com2 server

• If yellow is the cure, then blue is false and red isnt right as well. And that cant happen, because of red condition.
Goes the same for the blue bottle (as the above).
That means that red is the cure

• If any of the "the cure is here" bottles is true, then the other one is false but the final statement implies that 2 or 3 of the bottles are made by Menes and thus the statements on them are false. If the bottle (yellow or blue) which was true with the message "the cure is here" is clearly written by Nil it means the other one is written by Menes so then if the last bottle also has a true statement it's written by Nil but that means there are 2 bottles made by Nil and 1 by Menes so the last statement would be false! (regardless of which bottle, yellow or blue was true).

But if none of the "the cure is here" bottles were made by Nil, it means the cure is in neither of the yellow or blue bottle. Which means the third bottle is made by Nil since blue and yellow are made by Menes and therefore statement #3 is correct (2 or more, 2 are, written by Menes). Since the "the cure is here" bottles are both false and the cure has to be in one bottle, even if it doesn't say it, the cure is in the third one, the RED bottle which has a true statement and is written by Nil.

If all the bottles are made by Menes we come to the same problem as in the first paragraph. Where the third bottle has a TRUE statement, and therefore cannot be written by Menes and results in the same outcome as paragraph 2 of my comment.

Therefore, the correct answer is THE CURE IS IN THE RED BOTTLE.

• red bottle is safe

 Yellow bottle Blue bottle Red bottle The cure is here. The cure is here. At least two of these bottles were made by Menes. Reasoning TRUE TRUE TRUE impossible, only 1 bottle has cure; both yellow and blue are true/nil and have cure in this scneario TRUE TRUE FALSE impossible, only 1 bottle has cure; both yellow and blue are true/nil and have cure in this scneario TRUE FALSE TRUE if red bottle is true/nil, then at least 2 bottles must be made by menes/false but that does not happen in this scenario TRUE FALSE FALSE if red bottle is false/menes, then only 1 or less is made by menes/false; there are 2 false in this scenario FALSE TRUE TRUE if red bottle is true/nil, then at least 2 bottles must be made by menes/false but that does not happen in this scenario FALSE FALSE TRUE correct possibility, yellow/blue inscribed by menes/false and have poison, red bottle by nil and is safe FALSE TRUE FALSE if red bottle is false/menes, then only 1 or less is made by menes/false; there are 2 false in this scenario FALSE FALSE FALSE if red bottle is false/menes, then only 1 or less is made by menes/false; there are 2 false in this scenario
• Assume red bottle is made by Menes making statement false, now we can safely assume only one bottle was made by menes, because we already assumed that the red is menes bottle, the other two must be bottles made by Nil. But this wouldn’t be possible as that would give us 2 cures.
On the other hand if we considered the red bottle as having been made by Nil making it a true statement, we can safely assume that we have at least 2 bottles by Menes. Because we are only left with 2 bottles, the yellow and blue bottle can be said to be false statements. Meaning the two are not cures, which would only leave one possibility for the cure *red* bottle.
Cure is in the red bottle
Tiroshi com80

• red bottle- If Nils made the statement - Menes made 2 bottles (this should be a truth) the two bottles saying the cure is here (these should both be lies) meaning in fact the yellow and blue bottles do not contain the cure.

• Answer : Red bottle contains cure
Reason : Red bottle statement cannot be false because it makes 2 bottle of cure made by nil which is not possible(since he make only true statements).
So red bottle is made by Nil having True statement
Blue and yellow made by Menes having false statements.

IGN:Lonewolf
Ts2

• red bottle

The red bottle contains the only statement that cannot be false and lead to a single bottle. Therefore, if Menes made two bottles, the yellow and blue labels are false.

• Red bottle, as if the red bottle statement is true then the other two statements must be false, however if blue or yellow is true then both other statements must be false but if they were then the red bottle would become true making it a false statement

• The red bottle contains the cure.

Logic:

1) Nil couldn’t have possibly made both the Yellow and Blue bottle, since there is only one cure. It is either ‘Nil and Menes each made one’ or ‘Menes made both’.

2) Following the above statement, if Nil made the Yellow bottle, then Menes would’ve made the Blue bottle, vice versa. In both cases, we are left with the Red bottle. Case 1: Nil made the red bottle - this is impossible as the statement on the red bottle would not be true, since Menes only made one bottle. Case 2: Menes made the red bottle - also impossible as this would mean that Menes is writing a true statement since he made two bottles: red and blue.

3) The only possible solution is that Menes made both Yellow and Blue bottle, and Nil made the Red bottle. With this, we know that the statements on the Yellow and Blue bottle must be false and the Red bottle will contain the cure.

• The cure is contained in the Red bottle.

This statement is true, and therefore both statements on the other battles are false (Menes) and contain death.

If either Yellow or Red bottles contained the cure, then both the other two have death, which means both the red label and the statement (Menes = fales & Nils = true) are in violation.

• Nil always put true statements: which means Nil must be working for the cure
Menes put false statements: which could mean Menes is not worked for the cure

As the Red bottle says " there at least 2 bottles were made by Menes", Yellow and Blue should be wrong statements, which leaves Red Bottle to be the cure.

• Case 1:
We take yellow bottle is made by Nil, and Blue bottle is made by Menes. Then if the inscription in Red bottle is true, then the Red bottle will be made by Nil. But this contradicts the statement of the Red bottle. So this is a wrong case. Also, if Menes made the Red bottle, then he statement in the Red bottle would have been true, and so Menes actually can't make the Red bottle. So this is also wrong.

Case 2:
We take both Yellow bottle and Blue bottle to be made by Nil, and the Red bottle to be made by Menes. In this case, all the conditions are met as the statement of the first two bottles are true, and the statement of the Red bottle is false.
Yellow-Nil, Blue-Nil, Red-Menes

Thetes
uk20

• Correction:

Case 2:
We take both Yellow bottle and Blue bottle to be made by Menes, and the
Red bottle to be made by Nil. In this case, all the conditions are met
as the statement of the first two bottles are false, and the statement
of the Red bottle is true.
Yellow-Menes, Blue-Menes, Red-Nil

So Red bottle will have the cure.

Thetes
uk20

• The cure is in The red bottle, Made by Nil.
If Menes had made the red bottle with false statement then both yellow and blue had to be made by Nil, but both of theese statements can not be correct.
So red bottle must be made by Nil with true statement, and contain the cure, because blue and yellow bottles than must be made by Menes and have false statements.

Automatic word correction was active.......

• Red bottle has cure.

Yellow=cure and blue=cure - cannot both be true so at least one is false so written by Menes.

If red bottle statement is true - was written by Nil - other two written by Menes
If red bottle statement is false, was written by Menes, so can only have inscribed one (red) - meaning Nil inscribed other two, which cannot both be true.

So red statement must be written by Nil - meaning Menes inscribed Yellow and Blue, so neither of them has cure, leaving only red

• the red bottle contains the cure as it is the only statement that can be true.

Start by assuming they are all false (made by menes).
We know this isn't possible, because the red bottle cannot be false in this case.

Now we know 1 or more bottles must be true.

Next assume all bottles are true.
This isn't possible because red says at least two bottles must be made by menes.

Now we know 1 or more bottles must be false.

Next assume exactly 2 bottles are true.
Both yellow and blue cannot be true because two bottles contain virus.
This would mean for 2 bottles to be true it would mean the red bottle must be true, which cannot happen.

Therefore we must have 2 false bottles, and 1 true bottle.
If the true bottle is yellow or blue, that would make the red bottle false, which isn't possible.

Therefore the true bottle must be red, and the yellow and blue bottles must be false.
This means the cure is in the red bottle.

• is there any winners in this puzzle