Brain Teasers

[Sip]

I think Eve loves everyone.

[dusken]

Four boys, Alan, Brian, Charles, and Donald, and four girls, Eve, Fay, Gwen, and Helen, are each in love with one of the others and, sad to say, in no case is their love requited. Alan loves the girl who loves the man who loves Eve. Fay is loved by the man who is loved by the girl loved by Brian. Charles loves the girl who loves Donald. If Brian is not loved by Gwen, and the boy who is loved by Helen does not love Gwen, who loves Alan?

See, this one is far too annoying for me to think about. Not only do I not care but intricate trial-and-error riddles are tedious.

[anileve]

I think Eve loves everyone.

In this case she doesn’t. But why are we talking about Eve, it’s always about Alan isn’t it?

See, this one is far too annoying for me to think about. Not only do I not care but intricate trial-and-error riddles are tedious.

Well, I release you from the obligation of solving this tedious puzzle. You can go play in the sandbox with the rest of the kids.

[dusken]

Thank you, granny.

[omniscient]

Here is another one.

Four boys, Alan, Brian, Charles, and Donald, and four girls, Eve, Fay, Gwen, and Helen, are each in love with one of the others and, sad to say, in no case is their love requited. Alan loves the girl who loves the man who loves Eve. Fay is loved by the man who is loved by the girl loved by Brian. Charles loves the girl who loves Donald. If Brian is not loved by Gwen, and the boy who is loved by Helen does not love Gwen, who loves Alan?

Anileve, tell me if this is the right answer: Gwen loves Alan ... is that right? if it isn't, it's ok I'll just kill myself.

[anileve]

I'd like to preserve your omniscient life. You are correct. How did you come up with that answer?

[omniscient]

Boys: ABCD
Girls: EFGH

A -> __ ->__ -> E
B G B G

B -> __ -> __ -> F
B G B G

C ->__ -> D
B G B

( )=Not

H -> ___ -> (G)
G B G

G->(B)

G A
D H

F B

C E

The circle goes clockwise.



G&B stand for girl and boy on the second lines. Tell me if you don't see what I did.

[omniscient]

Never mind, It's not letting me put the letters where I want them.

[sSsflamesSs]

Let's give this another try, shall we?

CAPS = first initial (A, B, C, D, E, F, G, H)
lowercase = gender (g = girl/b = boy)

A -> g -> b -> E

_________B -> g -> b -> F

_________________C -> g -> D

So, the product is (just align the 3 lines above): A -> g -> B -> E -> C -> F -> D

At this point, there is only one variable (g) left, which can be either G or H. But since G doesn't love B [G -> (B)], then it cannot be G, and has to be H:

A -> H -> B -> E -> C -> F -> D

It works out, since H loves the boy who does not love G [H -> b -> (G)]

( )=Not

And so you just place G at the beginning or end:

A -> H -> B -> E -> C -> F -> D -> G ->

Answer: Gwen loves Alan.


PS I had nothing better to do, so I typed all this out, hahaha. Whoooo!

[anileve]

You guys kick ass. Not only did you get the right answer but you provided an excellent explanation. Now I know you didn't cheat