Logic challenge 1

Logic Level 5

Father, mother, 2 daughters ,2 sons, a policeman and a thief stand on a bank. You have to make sure that all the 8 reach the other bank. However you have to do it according to the following rules.What is the minimum number of moves you can make to succed the task?

RULES:

  • Only 2 people on the raft at a time

  • The Father cannot stay with any of the daughters, without their Mother’s presence

  • The Mother cannot stay with any of the sons, without their Father’s presence

  • The thief (striped shirt) cannot stay with any family member, if the Policeman is not there

  • Only the Father, the Mother and the Policeman know how to operate the raft


The answer is 17.

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2 solutions

Yatin Khanna
May 25, 2016

This puzzle was great and does not require any background knowledge, therefore I loved it. To be very honest, it took me 2 tries because once I did not notice a little mistake i had made.
Now, coming to the solution:
Assume the people to be: F,M, D1, D2, S1, S2, P and T.
1. P and T (T remains on 2nd bank)
2. P returns.
3. P and D1 go (D1 remains on the 2nd bank).
4. P and T return.
5. M and D2 go (D2 remains on the 2nd bank).
6. M returns.
7. M and F go ( M remains on the 2nd bank).
8. F returns.
9. P and T go. (Both remain on 2nd bank).
10. M returns.
11. M and F go. (M remains on 2nd bank).
12. F returns.
13. F and S1 go. (Both remain on the 2nd bank).
14. P and T return.
15. P and S1 go. (S1 remains.)
16. P returns.
17. P and T go. (Both remain.)


Done and dusted.

The answer is therefore 17 \boxed{17}

this is not correct in 5. M and D2 go together which is not allowed :)

Lotfi Fakhreddine - 3 years, 5 months ago

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Mother cannot stay with any of sons,please read the rules clearly.

Rishabh Sood - 3 years, 5 months ago

  1. P & T
  2. P
  3. P & M
  4. M
  5. M & D1
  6. M
  7. M & D2
  8. M
  9. M & F
  10. F
  11. F & S1
  12. P & T
  13. P & S2
  14. P
  15. P & T the answer is 15?

Tharisa Alviolita - 3 years, 2 months ago

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5 leaves the father with a daughter

Emily Peng - 1 year, 5 months ago

What happened to S2??

Emily Peng - 1 year, 5 months ago

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The second son remained on the second bank while the policeman went back.

~ amelia zhang ~ - 3 months, 1 week ago

  1. P, T
  2. P
  3. P, S1
  4. P
  5. P, S2
  6. P
  7. P, D1
  8. P
  9. P, D2
  10. P
  11. P, M
  12. M
  13. M, F

Elijah Frank - 6 months, 3 weeks ago

Thank you, nice solution by the way

Rishabh Sood - 5 years ago

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It was a nice, little, pure logic puzzle which reminded me of one we were usually asked when we were young which had a man, a wolf, a goat and a bundle of grass.

Yatin Khanna - 5 years ago
Andreas Wendler
Mar 11, 2016

The sequence is as follows: FM-M-Ms-M-Ms-M-Pt-F-Fd-F-Fd-F-FM

Unfortunately the solution is not unique. Another one is: FM-F-Fd-F-Fd-F-Pt-M-Ms-M-Ms-M-FM

Answer is therefore 13 13 .

Moderator note:

This solution is incorrect as it allows for the Father and daughter to be on the raft at the same time, whereas we are told that they cannot stay together.

What if the condition "not stay" mean they could not be together in the raft?

Tran Hieu - 5 years, 3 months ago

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Then the whole task would be irrelevant, you wisenheimer! ;-)

Andreas Wendler - 5 years, 3 months ago

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I mean if the condition "Father cannot stay with any of the daughters" also means that the Fd is not allowed

Tran Hieu - 5 years, 3 months ago

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@Tran Hieu Fd means that father and a daughter are together at the raft, which is valid. Staying means they are located at the bank!

Andreas Wendler - 5 years, 3 months ago

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@Andreas Wendler Yes, I know that. But my question is, if Fd is not allowed then what the answer should be?

Tran Hieu - 5 years, 3 months ago

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@Tran Hieu Feel free and try to find it out! ;-)

Andreas Wendler - 5 years, 3 months ago

If the daughters and sons are alone on a bank, are one of the parents considered to be "with them" if they go and get them on the raft but never are with them on the raft?

Emmett Degen - 4 years, 10 months ago

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E bhanchod

Rupayan Jana - 2 years, 6 months ago

Whole wrong how can father and daughter stay at the raft together......answer should be 17

Anshul Sanghi - 5 years, 2 months ago

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Sequence I found: FM-F-Fs-FM-Fs-F-FM-M-PT-F-FM-M-Md-FM-Md-M-FM

Andreas Wendler - 5 years, 2 months ago

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If F and M go and F returns, doesnt that mean that he is on the same bank as the daughters while mother is on the other bank?

Yatin Khanna - 5 years ago

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@Yatin Khanna No because one son will then go into the raft crossing together meaning father will not remain on the bank with the daughters!

Andreas Wendler - 5 years ago

RUBBISH!!!

Andreas Wendler - 5 years, 2 months ago

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Please refrain from typing in all capital letters as that is considered rude on the internet.

Calvin Lin Staff - 5 years, 2 months ago

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