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MSA daily brain teaser 23/12

edited 30 November -1 at 12:00AM in The Money Savers Arms
9 replies 666 views
GladGlad Forumite, Board Guide
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edited 30 November -1 at 12:00AM in The Money Savers Arms
In the fantastic family game Boggle, each of 16 dice has six different letters (QU substitutes for a single letter on one cube face) on it. The dice are shaken and fall into a 4x4 square, so that one letter on each cube shows. Players have three minutes to form as many words of length three or longer by moving from letter to adjacent letter either vertically, horizontally, or diagonally. Players may return to a letter in forming a word but may not pause on a letter. Given the sample board

FBUP
TMEO
RSHI
ETBW

possible words are POEM, PESTER, HOPE, THEME, and RESETS, but not MESS.
In a recent game of Boggle, Charles and his dad formed the words given in the clues below, as well as many others. Can you reconstruct the arrangement of the top dice letters that showed on their game board?


1. Both Charles and his dad got the words SLIT and SNAG, but only Charles formed the higher-scoring word SULTAN.
2. Dad scored points by making ANT and OFTEN, neither of which his son had on his final word list.
3. Charles scored points with LAMP and MOAT, which Dad didn't see.
4. Both players anagrammed RYE, which was made in part by an upper left-to-lower right diagonal move in going from one letter to the next.
5. To anagram the word BEST, where the cube with B on it wasn't in the upper-right-hand corner of the Boggle board, Charles made two consecutive horizontal moves.
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Replies

  • NileNile Forumite, Board Guide
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    Pretty please can we have an easy peasy teaser for the remedials Miss? ;D
    Hi, I'm the Board Guide on the In my home (includes DIY) and the I wanna buy-it or do-it boards which means I volunteer to help get your forum questions answered and keep the forum running smoothly. However, do remember that Board Guides don't read every post. If you spot an inappropriate or illegal post then please report it to [email protected]. It is not part of my role to deal with reportable posts. Any views are mine and are not the official line of moneysavingexpert.com.

    10 Dec 2007 - Led Zeppelin - I was there. :j :cool2: I wear my 50 (gold/red/white) blood donations pin badge with pride. Give blood, save a life.
  • Can I ask for a clarification please?

    When you say "Both players anagrammed RYE", do you mean that they made the word RYE, in the normal way, or do you mean they made another word which is an anagram of RYE?

    I ask because I can't think of an anagram of RYE - none out of ERY, EYR, REY, YER or YRE are words according to my dictionary.

    Also the same question for "To anagram the word BEST"?

    Sorry if I'm being a thickie, and thanks,

    DT
  • NileNile Forumite, Board Guide
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    Pull up a diddy kiddie chair and join us in the remedial class, there's plenty of thick less bright friends in here.
    Hi, I'm the Board Guide on the In my home (includes DIY) and the I wanna buy-it or do-it boards which means I volunteer to help get your forum questions answered and keep the forum running smoothly. However, do remember that Board Guides don't read every post. If you spot an inappropriate or illegal post then please report it to [email protected]. It is not part of my role to deal with reportable posts. Any views are mine and are not the official line of moneysavingexpert.com.

    10 Dec 2007 - Led Zeppelin - I was there. :j :cool2: I wear my 50 (gold/red/white) blood donations pin badge with pride. Give blood, save a life.
  • Of out (probably misplaced) pride, I'm still hoping to have a go.

    But I may end up joining you. Do I get a pair of those nice plastic scissors that can't cut anything? ;D
  • GladGlad Forumite, Board Guide
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    Can I ask for a clarification please?

    When you say "Both players anagrammed RYE", do you mean that they made the word RYE, in the normal way, or do you mean they made another word which is an anagram of RYE?

    I ask because I can't think of an anagram of RYE - none out of ERY, EYR, REY, YER or YRE are words according to my dictionary.

    Also the same question for "To anagram the word BEST"?

    Sorry if I'm being a thickie, and thanks,

    DT
    both players made the word RYE and the word BEST was made ;D
    STAY HOME - PROTECT THE NHS - SAVE LIVES
    I'm a Board Guide on the Money Savers Arms, Discussion Time, Wales, Competitions, Marriage Relationships & Families, Health and Pet Care boards. However, please do remember, board guides don't read every post. if you spot an inappropriate or illegal post then please report it to [email protected] (it's not part of my role to deal with reportable posts). Any views are mine and not the official line of MoneySavingExpert.com
    Compers please read the Comping Guide
  • Important update! We have recently reviewed and updated our Forum Rules and FAQs. Please take the time to familiarise yourself with the latest version.
  • Here goes:

    P M O G
    R F A I
    Y N T L
    B E S U
    :-/
  • Well done :)

    I'd got to:


    ULIG
    STAO
    ENFM
    BYRP


    But I couldn't see how I needed to rotate it or mirror it to fit all the clues :-[
  • This one was really mind boggling - nice one Glad. :-*

    I had the same problem DT - but the main clue was the one about 2 horizontal moves to make the word BEST, after that it kinda makes sense :)
  • GladGlad Forumite, Board Guide
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    From the introduction, words are made by moving from adjacent letter to adjacent letter vertically, horizontally, or diagonally; a letter may be returned to in a word, but the same letter can't be used twice in a row. The Boggle board in the game played ended up with 16 different letters: ABEFGILMNOPRSTUY. By clue 5, in forming the word BEST, Chad made two consecutive horizontal moves; so he either went B-E-S in a straight line or E-S-T. However, from the word OFTEN in clue 2, the E and T must also touch, which they cannot do in the second case. We will solve the letter adjacencies first, then determine the orientation later; so we put these letters on the Boggle board arbitrarily as follows:
    BES BES
    .T. ..T

    By clue 2, the N must be adjacent to both the T (ANT) and E (OFTEN); the N must also touch the S (SNAG in clue 1). The N must therefore fit in our arbitrary arrangement as follows:

    BES BES
    .TN .NT

    Given the word SLIT (1) and the first of our two possible arrangements, we would have:

    BES.
    .TNL
    ..I.

    However, there is no way to form SULTAN in clue 1. So, our second arrangement from above is the only one possible:

    BES
    .NT

    From SULTAN (1), the A must be adjacent to both N and T:

    BES BES
    .NT .NT
    .A. ..A

    However, since the L must touch the S in SLIT (1) and touch the A in LAMP (3), there is no way the first arrangement can work; and the L must be added as

    BES.
    .NTL
    ..A.

    From SULTAN (1),

    BESU
    .NTL
    ..A.

    SLIT (1),

    BESU
    .NTL
    ..AI

    and OFTEN (2) we get

    BESU
    .NTL
    .FAI

    Since the G in SNAG (1) must go below A in what is the 4th row, the Y and R in RYE in clue 4 fill out the other three rows:

    BESU
    YNTL
    RFAI

    There are three ways that the G in SNAG (1) can fit:

    BESU BESU BESU
    YNTL YNTL YNTL
    RFAI RFAI RFAI
    .G.. ..G. ...G

    Given the first possibility, the M and P in LAMP (3) would have to fit in to the right of the G and the O in OFTEN (2) to the left--but MOAT (3) cannot be made. Trying the second arrangement, M and P from LAMP would be to the left of G--but there would be no way to make OFTEN. So the third arrangement remains. We try all arrangements of the M and P from LAMP with O from OFTEN:

    BESU BESU BESU
    YNTL YNTL YNTL
    RFAI RFAI RFAI
    OPMG OMPG PMOG

    Only the third one allows MOAT (3) to be made. We now test the various alternative orientations:

    BESU USEB BYRP PRYB
    YNTL LTNY ENFM MFNE
    RFAI IAFR STAO OATS
    PMOG GOMP ULIG GILU

    PMOG GOMP ULIG GILU
    RFAI IAFR STAO OATS
    YNTL LTNY ENFM MFNE
    BESU USEB BYRP PRYB

    By clue 4, RYE was partly formed by an upper left-to-lower right diagonal move, so only two of the arrangements are possible:

    PRYB PMOG
    MFNE RFAI
    OATS YNTL
    GILU BESU

    However, by clue 5, B wasn't in the upper-right-hand corner. The Boggle board was as follows:

    PMOG
    RFAI
    YNTL
    BESU



    [glow=red,2,300]congratulations to unbelievable[/glow]

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    I'm a Board Guide on the Money Savers Arms, Discussion Time, Wales, Competitions, Marriage Relationships & Families, Health and Pet Care boards. However, please do remember, board guides don't read every post. if you spot an inappropriate or illegal post then please report it to [email protected] (it's not part of my role to deal with reportable posts). Any views are mine and not the official line of MoneySavingExpert.com
    Compers please read the Comping Guide
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