Can You Solve This Love Puzzle? Discover Whom Allan Truly Loved After the Titanic Sinking

Hello All,

Here is one more question: When the Titanic sank in the ocean, four gentlemen and four young ladies floated onto an island. After a while, all of them fell in love with each other. Each person loved one and only one.

The girl that John loved fell in love with Jim. The girl that Allan loved fell in love with Bill. The gentleman that Rose loved fell in love with Mary. Gloria loved the gentleman who loved Rose. Gloria did not like Jim and John. Bill did not like Mary. Jill did not like the gentleman who loved her.

The question is: Whom did Allan love? :idea:

Try to solve it!

Hi Ali,

It's been 2 days since my earlier posting. Please provide me with the answer to your problem.

Hi Shabs, I am sorry for responding late, actually, I didn't log in since the last two days as it was my day off. :) Here is the solution:

Whom did Allan love?

Given:
1) John loved girl-1 who loved Jim.
2) Allan loved girl-2 who loved Bill.
3) Rose loved gentleman-1 who loved Mary.
4) Gloria loved gentleman-2 who loved Rose.
5) Gloria did not like Jim and John.
6) Bill did not like Mary.

Reasoning:
7) Items 3 and 4 can be combined into 1 chain.
8) Gloria cannot be girl-1 because of 1 and 5.
9) Since Bill does not like Mary, Bill cannot be gentleman 1.
10) Bill cannot love Gloria because that would end up combining items 2 and 7. The resulting chain would have 5 girls. It means Bill was gentleman 2 and loved Rose.
11) It also implies that girl-2 was Gloria.
12) According to item 2, the answer is that Allan loved Gloria. ;) :huh:

According to the given information:

Gloria can't love Jim or John. Then Gloria may love Bill or Allan. Gloria loves the man who loves Rose (which can be Allan or Bill), and Allan loves the girl who loves Bill (Rose and Jill don't love Bill). Therefore, Allan can't love Rose (he may love Gloria or Mary). Finally, Gloria loves Bill, and Allan loves Gloria. John loves the girl who loves Jim. Rose loves the man who loves Mary.

If John loves Rose, then Rose loves Jim, and then Jim loves Mary (False).

If John loves Mary, then Mary loves Jim, and then Rose loves John (True).

If Rose loves John, then John loves Mary, and then Mary loves Jim (True).

Is that correct?

According to the given information: Gloria can't love Jim or John. Then Gloria may love Bill or Allan. Gloria loves the man who loves Rose (can be Allan or Bill), and Allan loves the girl who loves Bill (Rose and Jill don't love Bill), then Allan can't love Rose (Allan may love Gloria or Mary). Finally, Gloria loves Bill. Allan loves Gloria. John loves the girl who loves Jim. Rose loves the man who loves Mary. If John loves Rose, then Rose loves Jim, and then Jim loves Mary (False). If John loves Mary, then Mary loves Jim, and then Rose loves John (True). If Rose loves John, then John loves Mary, and then Mary loves Jim (True).