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    Join us in facebook

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    1) Sphinx - Jan 1933 - Page 7By M. Pigeolet

    Reconstruct the multiplication, in which all the A=3 are given.

    . . . . . A

    A . . . . . .

    ---------------

    A . A . A . J

    . . . . . A

    . . . A . . N

    . . . A . V

    . A . . . . I

    . . . . . A E

    J A N V I E R

    ---------------------------

    . . . . . . . . . . . . .

    2) Sphinx - Jan 1933 #115 - Page 9

    By M. Van Esbroeck

    A B C = C4, B C A = D

    4

    3) Sphinx - Jan 1933 #116 - Page 9

    By M. de Ville (Namur)

    http://www.facebook.com/groups/bangwalkins/http://www.facebook.com/groups/engineerbabu/http://www.facebook.com/groups/engineerbabu/http://www.facebook.com/groups/engineerbabu/http://www.facebook.com/groups/engineerbabu/http://www.facebook.com/groups/bangwalkins/
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    F A G = E H B I,

    F A G is formed from 3 consecutive digits.

    4) Sphinx - Jan 1933 #11 - Page 14By M. Pigeolet

    Ten cubes in stairstep:

    x

    x

    x

    x x x x

    x

    x

    x x x x

    x

    x

    x x x x

    x

    x

    x x x x

    x

    x

    x x x x

    5) Sphinx - Feb 1933 #120 - Page 26

    By M. Lapierre

    Reconstruct the extraction of square root.

    * * A B

    -----------------

    \/ * * * * * * * *

    * *

    -------* * *

    A * *

    ---------

    * * * *

    B * * *

    -----------

    * * * *

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    * * * *

    -------

    6) Sphinx - Feb 1933 #121 - Page 26By M. de Ville (Namur)

    K E D = E G B,

    K E D is formed from three consecutive digits; G B is formed

    from two consecutive digits.

    7) Sphinx - Feb 1933 #122 - Page 26

    By M. Rose-Innes (Yokohama)

    A printer, setting up the following division, found that he had only type numbers

    7 and 0 which he put in their respective places, and two A's, which he used to

    substitute for a certain digit that appears twice in the dividend; but this same

    digit was next replaced by asterisks in all other parts of the division. The divisor

    is equal to the quocient.

    * * *

    ------------

    * * * | A * * * 7 A* * 0 *

    ---------

    * * * 7

    * * * *

    ---------

    * * * *

    * * * *

    -------

    0

    8) Sphinx - Feb 1933 - Page 28

    By M. Pigeolet (Anvers)

    Reconstruct the division.

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    . 6 . . . .

    --------------

    2 8 | F E V R I E R

    . .

    -----

    . . .S I X

    -------

    . . .

    . . .

    -------

    . . .

    . . .

    -----

    0

    9) Sphinx - Mar 1933 #125 - Page 44

    By L. Martin (Paris)

    Take three consecutive numbers: x, y, z.

    ABC, ACB and ABC + ACB are the differences of the cubes

    of x, y and z expressed in the equations:

    ABC = z3 - y3; ACB = y3 - x3 and ABC + ACB = z3 - x3.

    10) Sphinx - Mar 1933 #126 - Page 44

    By M. Lapierre

    Reconstruct the extraction of square root.

    A A *

    -------------

    \/ * * * * * A* *

    -------

    * * * *

    * * * *

    -----------

    * * * * *

    * * * * *

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    ---------

    11) Sphinx - Mar 1933 - Page 45

    By M. PigeoletReconstruct the multiplication.

    A R . .

    R A . .

    ----------

    . . . . M

    . . . . A

    . . . . R

    M A R S

    -----------------

    . . . . . . . .

    12) Sphinx - Apr 1933 #130 - Page 60

    By M. Lapierre (Wattrelos)

    Reconstruct the extraction of square root.

    * A B

    -------------\/ * * * * * *

    * A

    -------

    * * *

    * * B

    ---------

    * * * * *

    * * * * *

    ---------

    13) Sphinx - Apr 1933 #134 - Page 60

    By M. Pigeolet

    ROME, PARIS, ARRAS, ARLON and LENS are five prime numbers.

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    NIMES, ANS, MONS each of them is a product of a prime by 7.

    SPA is a square. What are these numbers ?

    14) Sphinx - Apr 1933 - Page 61By M. Pigeolet

    Reconstruct the division.

    P L S

    -----------------

    A V R I L | 1 . . 6 . . . .

    A V R I L

    -------------

    . . . . . .

    . . . . 1 6

    -------------

    . . . . . .

    P A Q U E S

    -----------

    0

    15) Sphinx - May 1933 #135 - Page 74

    By M. LapierreReconstruct the extraction of square root.

    * B *

    -----------

    \/ * * * * A

    *

    -----

    * * *

    * *

    -------* * *

    * * *

    -----

    16) Sphinx - May 1933 #136 - Page 74

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    By M. Pigeolet

    Reconstruct the multiplication and the division.

    Q U I

    P R E N D-----------

    * * *

    * * * *

    * * *

    * * *

    -----------------

    A | * * * * * * * | * * * * * *

    * *

    -------

    * * *

    * * *

    -------

    * * *

    * * *

    ---------

    0

    17) Sphinx - May 1933 - Page 76By M. Pigeolet

    MAI is the square of ST.

    . . . . . A

    M A I

    --------------

    . . . . . . .

    . . . . . . .

    . . E N . . .-------------------

    P R I N T E M P S

    18) Sphinx - Jun 1933 #141 - Page 86

    By M. Rose-Innes (Yokoama, Japan)

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    In the sum of the series 500

    + 501

    + 502

    + ..... + 501010

    , it was found that 8

    consecutive digits between the 1010th

    and the 990th

    terms (counting right to

    left) can be represented by PIGEOLET. What are these figures and what

    places they occupy ?

    19) Sphinx - Jun 1933 #142 - Page 86

    By M. Pigeolet (Anvers, Belgium)

    The two words in the name ofROSE-INNES from Yokoama are squares,

    while OR is a prime number. What are these numbers?

    20) Sphinx - Jun 1933 - Page 89

    By M. PigeoletReconstruct the multiplication.

    E T E

    * * *

    ---------

    * * 2 1

    J U I N

    * * *

    -------------

    * * 2 * * 1

    21) Sphinx - Jul 1933 #146 - Page 105

    By M. Rose-Innes (Yokohama, Japan)

    Reconstruct the division.

    * *

    -----------A B * | * * C D *

    * * C E

    ---------

    * F F *

    * * E D

    --------

    D E *

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    22) Sphinx - Jul 1933 #147 - Page 105

    By M. LapierreReconstruct the extraction of square root.

    B A *

    -------------

    \/ * * * * * A

    * A

    -------

    * * * *

    * * * C

    -----------

    * * * *

    * * * *

    -------

    23) Sphinx - Jul 1933 #148 - Page 105

    By W. F. Cheney (fromAmerican Mathematical Monthly)

    The arithmetic mean ofNED and SASH is SHUN. Their geometric

    mean is SEND and their harmonic mean is SEED. Each letter stands

    for a different digit.

    24) Sphinx - Jul 1933 - Page 106

    By M. Pigeolet

    Reconstruct the extraction of square root.

    * * * *

    ---------------

    \/ J U I L L E T*

    ---------

    * * * * * *

    * * * * * *

    ---------

    * * * * * * * * *

    * * * * * * * * *

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    ---------

    0

    25) Sphinx - Aug 1933 #151 - Page 119By M. Lapierre

    Reconstruct the extraction of square root.

    A A *

    -------------

    \/ * * * * * A

    * *

    -------

    * * *

    * * *

    ---------

    * * * *

    A * * *

    -------

    26) Sphinx - Aug 1933 - Page 125

    By R. Man.

    AOUT is a prime number, as well as its reverse TUOA.

    A O U T T U O A

    + A T A O -U * T T

    ---------- ----------

    T U * U O * T *

    27) Sphinx - Sep 1933 #156 - Page 138

    By M. Rose-Innes (Yokohama)Reconstruct the multiplication.

    A B C D E

    F G A

    -------------

    * * H * * *

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    B B * * *

    * * H * * *

    -----------------

    * F * * * D * *

    28) Sphinx - Sep 1933 #157 - Page 138

    By C. A. Rupp (fromAmerican Mathematical Monthly)

    ABCB, BCAD and CBAD are squares.

    29) Sphinx - Sep 1933 #158 - Page 138

    By C. A. Rupp (fromAmerican Mathematical Monthly)

    ABCDEand

    BACEDare squares;

    C+

    Dand

    B+

    Eareconsecutive primes. What are these numbers?

    30) Sphinx - Sep 1933 - Page 141

    By R. Man.

    S E P T E M B R E S E P T E M B R E

    - E R B M E T P E S + E R B M E T P E S

    -------------------- --------------------M P P B R P S S M B * R B M R R E B

    31) Sphinx - Oct 1933 #162 - Page 155

    By R. Man.

    ABCABD = DEB2

    32) Sphinx - Oct 1933 #163 - Page 155

    By R. Man.

    ABCD is divisible by 17.

    CADB is divisible by 11.

    CDBA is divisible by 7.

    And all these three numbers are divisible by 3. What are they?

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    33) Sphinx - Oct 1933 #164 - Page 155

    By R. Man.

    The prime number AAAB,multiplied by 7, gives the product BEEDC.

    The same number AAAB, multiplied by 11, gives the product ADDFB.What is this number?

    34) Sphinx - Oct 1933 #166 - Page 156

    By M. Pigeolet (Anvers)

    Find the key of this multiplication.

    B O U L E

    R A D I S

    -------------

    1 . . . . 0

    1 1 . . . 0

    1 0 1 . . 0

    . . 0 . 0

    . . . . 0

    -------------------

    . . . . . . . . .

    35) Sphinx - Oct 1933 - Page 157

    By R. Man.

    OCTOBRE is divisible by 3 and by 7.

    O

    + C T O

    ---------

    B R E

    36) Sphinx - Oct 1933 - Page 157

    By M. Pigeolet (Anvers)

    Reconstruct the multiplication:

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    * * * * * * where: O C T O

    * * C T O

    ------------- C T O B

    * * * * * * T O

    * * * * * * T O B R--------------- T O B R E

    O C T O B R E O B R E

    B R E

    B R

    R E

    E

    are 11 prime numbers.

    37) Sphinx - Oct 1933 #21 - Page 159

    By M. Pigeolet (Anvers)

    Reconstruct the multiplication.

    C * A A

    R C C I K

    -----------

    A A C C K

    * * * * *

    * * * * ** * * * *

    * * * * *

    -------------------

    K R A I T C H I K

    38) Sphinx - Nov 1933 #166 - Page 167

    By M. Pigeolet (Anvers)

    GALLUS and AMICUS are squares,

    MAN and LANGE are primes,

    UME and GEMIS each of them equals three times a prime number.

    39) Sphinx - Nov 1933 #167 - Page 167

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    By M. Pigeolet (Anvers)

    Reconstruct the multiplication.

    T O C K

    T O C K----------

    * * * * *

    * * * * *

    * * * * *

    * * * * *

    -----------------

    * * * * T O C K

    40) Sphinx - Nov 1933 #168a - Page 167

    By M. Pigeolet (Anvers)

    Reconstruct the extraction of square root.

    * R * E

    -----------------

    \/ L A P I E R R E

    *

    -----

    * * *

    * * *---------

    * * * *

    * * * *

    -----------

    * * * * *

    * * * * *

    ---------

    0

    41) Sphinx - Nov 1933 #168b - Page 167

    By M. Pigeolet (Anvers)

    Reconstruct the extraction of square root.

    * * P I

    -----------------

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    \/ L A P I E R R E

    *

    -----

    * * *

    * * *

    ---------* * * *

    * * * *

    -----------

    * * * * *

    * * * * *

    ---------

    0

    42) Sphinx - Nov 1933 - Page 170

    By M. Pigeolet (Anvers)

    Reconstruct the multiplication:

    V E N T

    N O V E M B R E

    -----------------

    N . . . E

    M . . . R

    O . . . BS . . . M

    N . . . E

    E . . . V

    R . . . O

    B . . . N

    -------------------------

    . . . . . . . . . . . .

    43) Sphinx - Dec 1933 #171 - Page 184

    By M. Pigeolet (Anvers)

    ABACDEBDECA is a cube,

    AB, ACD and ECD are cubes,

    EBD is a square.

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    44) Sphinx - Dec 1933 - Page 187

    By M. Pigeolet (Anvers)

    Reconstruct the extraction of square root.

    * * * *

    -----------------

    \/ D E C E M B R E

    * *

    -----------

    * * * * * * *

    * * * * * * *

    -----------

    * * * * * * * * *

    * * * * * * * * *

    ---------

    0

    45) Sphinx - Dec 1933 - Page 187

    By M. Roses-Innes (Yokoama)

    Reconstruct the multiplication and the square root extraction.

    The multiplier A * * * O is the square of B * * ,

    N O E L

    A * * * O

    -----------

    * * * * *

    * * * * *

    * * * *

    * * * *

    * * * *

    -------------------\/ * * * * * * * * * | N * B * *

    *

    ---------

    * * *

    * * *

    ---------

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    * * * * *

    * * * * *

    -------------

    * * * * *

    * * * * *

    ---------0

    46) Sphinx - Jan 1934 #2 - Page 11

    By R. Man (Brussels)

    Find the key: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 by the following factorizations:

    P H A R E = P I P A R A

    D E L A I = S H O E O A

    A L O R S = H S S E S O I

    47) Sphinx - Jan 1934 #3 - Page 11

    By A. Baudenne (Annevoie)

    Reconstruct the multiplication and find the key-exhortation to

    everybody's participation: 1 - 2'345674 - 1890.

    V A L I S E

    M O R U E

    ---------------

    * * * 1 6 1 6

    * * * * * * *

    * * * * * * *

    * * * * * * *

    * * * 3 2 3 2-----------------------

    * * * * * 1 6 1 6 1 6

    48) Sphinx - Jan 1934 #4 - Page 11

    By Lapierre (Wattrelos)

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    Reconstruct the multiplication.

    A B C D E

    C E D B A

    -----------* * * * *

    * * * * F

    * * * * * G

    * * * * * D

    * * * * * A

    ---------------------

    * * * * * * * * * *

    49) Sphinx - Jan 1934 #5 - Page 11

    By Rose-Innes (Yokohama)

    All 3's are given.

    * * 3 *

    * * 3

    ---------

    3 * * *

    * * * 3 3

    * * * *----------------

    * * * * * * *

    50) Sphinx - Jan 1934 #6 - Page 11

    By Paul Fayard (Decazeville)

    Translate into words the following phrase: 7170 - 52 - 362840.

    All 1's and 0's are given in the partial products and total product.

    R I V E

    F L A N C

    -----------

    * * * * 0

    * * * * 0

    1 * * * 0

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    * 0 * * 0

    1 * * 1 0

    -------------------

    * 1 * * 0 * * * 0

    51) Sphinx - Feb 1934 #7 - Page 24

    By Gallus (France)

    Two French mathematicians have 8 letter-sized names which,

    transformed into figures by means of the key 12-34567890, give

    two numbers from which the square roots are extracted.

    Herein, below, you'll find what we know about the two operations,

    where the letters must be replaced with the corresponding figures.

    The key is, in the broad sense, the birthplace of one of the

    mathematicians, but not of the other one.

    As for their death, it occurred in the century that is the maximum

    common divisor of the two names.

    O I A O O C . .

    ----------------- -----------------

    \/ . . . . . . . . \/ . . . . . . . .

    . . . .------- -------

    . . . L E . .

    . . C . . .

    --------- ---------

    . C . . . . . .

    . . . . . . . .

    ----------- -----------

    . . . . . . . . . .

    O . . A O . P . . .

    --------- ---------. . . O . . . V

    52) Sphinx - Feb 1934 #8 - Page 25

    By Colao (Castro-Verde)

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    What is the key for these two operations?

    L I O N

    R A T

    -------------L T H L R T

    O P H P L

    ----------------

    L A P I N | O A H N R R T | R N

    O P N I E L

    -------------

    E L T L L T

    E E E T R H

    -----------

    E L P L

    53) Sphinx - Feb 1934 #9 - Page 25

    By S. Vatriquant (Brussels)

    * * * * R E L U E = ( L U E )3

    54) Sphinx - Feb 1934 #10a - Page 25By M. Pigeolet (Anvers)

    The numbers 90ABC17, 79ABC and 491ABC4 are not primes.

    What are these numbers?

    55) Sphinx - Feb 1934 #10b - Page 25

    By M. Pigeolet (Anvers)

    The numbers ABCD, 1920CD41, 496BC3, 872AB76 and 10A25D8

    are not primes. What are these numbers?

    56) Sphinx - Feb 1934 #10c - Page 25

    By M. Pigeolet (Anvers)

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    COLAO is a square and - CO + LA = O.

    There are two solutions; don't consider the cedilla under

    the second C.

    57) Sphinx - Feb 1934 #11 - Page 25

    By Rose-Innes (Yokohama)

    ABC BCA CAB = D63106938 if A > B > C

    58) Sphinx - Mar 1934 #13 - Page 39

    By K. de Haan (Velsen, Holland)The sums of the numbers in the multiplier and in the

    multiplicand are equal.

    . . . . . . .

    . . . . . . . .

    -----------------

    . . . . . . . Q

    T . . . . . . U

    I . . . . . . E

    O . . . . . . SS . . . . . . T

    E . . . . . . I

    U . . . . . . O

    Q U E S T I O N

    -------------------------------

    . . . . . . . . . . . . . . .

    59) Sphinx - Mar 1934 #14 - Page 39By Amicus (Brussels)

    Willing to break off from a (female) creature with an acid character, a chemist

    left the following note for her:

    L I S O N = H2

    S O4

    However, this note made the darling creature smile, as her name, which was

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    so little gallantly factorized, was also equivalent to the amount of the cheque

    joined to the note. How much is the price of the break-off ?

    60) Sphinx - Mar 1934 #15 - Page 39By A. Rose-Innes (Yokohama)

    ABC ACB BAC BCA CAB CBA = 298316E551967600

    if A = 2 ( E - C )

    61) Sphinx - Apr 1934 #16 - Page 60

    By Gallus (Lambres)

    Waiter! The bill, please...

    A group of friends entered a pastry shop whose mark represents an animal

    that covets a saucer: "83 5681 734 023569".

    Each person took a cup of their favourite drink (four different drinks: the first

    4 lines of the bill), plus one pastry, the same order for everybody (the 5th

    line).

    Finally, the waiter (a cryptarithm buff), brings the bill. The names of the

    consumed items, pre-printed in the small note, are in the singular. The digitsreplace the letters and reciprocally.

    Reconstruct the mark, the bill, the political opinion of the shop owner:

    5816204739, and the author's name: "527", from Lambres, in Pas-de-Calais.

    Unit

    Quantity Item Price Amount

    -----------------------------------------------

    C 0841 U.QC TA.QC

    E 169 U.OC OE.OC

    A 58582 8 0'983 O.-- TH.--

    C 56252081 I.-- OL.--

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    OQ 523739 T.IL UQ.AL

    ----------------------------------------------

    TOT.AL

    62) Sphinx - Apr 1934 #17 - Page 60

    By A. Decerf (Paris)

    The snore sound number RABOUBOUMRAM is divisible by

    2B5200B49.

    You will find this number by knowing the rules of divisibility by E, by UL

    and by UU, etc. and practising the imperial Latin motto: 386097214.

    63) Sphinx - Apr 1934 #18 - Page 60

    By G. Cottin (Brussels)

    (LAVALSEDAN)2

    = * * * * * * * * * * LAVALSEDAN and

    (SEDAN)2

    = LAVALSEDAN.

    64) Sphinx - Apr 1934 #19 - Page 60

    By G. Fisti (Maestricht)

    Reconstruct these two connected multiplications. One is to be read normally

    but the other requires a half turn of the leaf.

    * * * * * * * *

    -----------------

    * * * * *

    * * * * *

    * * * *

    * * * *

    ---------

    H S I XO I Z H

    ---------

    * * * X

    * * * * *

    * * * X

    * * * *

    -----------------

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    * * * * * * * *

    65) Sphinx - Apr 1934 #20 - Page 61

    By M. Legros (Jodoigne)A big blot of ink spilled over a multiplication permits identifying only

    its multiplicand 1234 and some digits of the product 4***38.

    Reconstruct the multiplication.

    66) Sphinx - May 1934 #21a - Page 71

    By M. Pigeolet (Anvers)

    Reconstruct the multiplication.

    S P H I N X

    * * * * * * *

    ---------------

    S P H I N X

    X S P H I N

    N X S P H I

    I N X S P H

    H I N X S P

    P H I N X S

    S P H I N X-------------------------

    S * * P * H I * * N * X

    67) Sphinx - May 1934 #21b - Page 71

    By M. Pigeolet (Anvers)

    Reconstruct the multiplication.

    P O S I T I F

    N E G A T I F

    -----------------

    * * * * * * * *

    * * * * * * * *

    * * * * * * * *

    * * * * * * * *

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    * * * * * * * *

    * * * * * * *

    -----------------------------

    N * * * * * * * E G A T I F

    68) Sphinx - May 1934 #22 - Page 71

    By Raphal Robinson (Berkeley, USA)

    Instead of a product of two powers: ab

    . cd

    a printer, accidentally,

    composed this 4-digit number: abcd. However, the value is the same.

    Find this unique number.

    69) Sphinx - Jun 1934 #24 - Page 91

    By A. Lapierre (Mouscron)

    After the sudden death of a wise astronomer, a piece of semi-burnt paper was

    found in his fireplace where we can identify the remains of the arithmetical

    operation shown below. Can our Oedipuses reconstruct this document?

    A * *

    ------------------

    * * * * * **

    --------

    * * * * * *

    * * * A *

    ---------- *

    * * * * * ----- * *

    * * * * * * *

    -------- *

    ----

    * A70) Sphinx - Jun 1934 #25 - Page 92

    By A. F. Colao (Castro-Verde)

    The numbers:

    TSRABVOLUE, RSBAOVTULE, OSBURVLETA,

    UBOSLRVEAT, VLSOAEBTRU, AUBTOELSRV,

    BEOVSALRUT, LTOVABERSU, ELTUSBROVA,

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    are squares. What is the key?

    71) Sphinx - Jun 1934 #26 - Page 92

    By R. Man (Brussels)A well known French name is the key of this multiplication,

    to be solved to the base 8 system.

    L O T I

    R A V I

    -----------

    * * * * T

    L * * *

    * * * * I

    O * * * *

    -----------------

    L * * * E * O T

    72) Sphinx - Jun 1934 #27 - Page 92

    By C. Miliopoulo (Fontainebleau)

    The fragment of a cryptarithmetic table of squares and cubes was found.

    You are required to reconstruct the table.

    * D * * * * * * * * * * * * * * D A

    * * * * * * * * * * * * * * * * D *

    * * * * * * * * * * * * * * * * * *

    * * * * * * * * * * * * * * * * * *

    * * B * * B * * C * * * * * * * * B

    73) Sphinx - Jun 1934 #28 - Page 92By M. Legros (Jodoigne)

    The sum of the digits represented by the letters in the following

    words form up an ascending arithmetical progression.

    POIRE, OPERA, PORTE, TAPIS, ASTRE, PATRE, LOTUS,

    LISTE, LOUPE, OUTRE, . . .

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    74) Sphinx - Jun 1934 #29 - Page 92

    By G. Fisti (Maestricht)

    S E L L E S is a square.

    75) Sphinx - Jul 1934 #33 - Page 102

    By M. Legros (Jodoigne)

    Reconstruct the following dance where each letter

    stands for a prime number.

    V A L S E

    S L A V E

    -------------

    * * * * * *

    * * * * * *

    * * * * * *

    * * * * *

    * * * * *

    -------------------

    * * * * * * * L E

    76) Sphinx - Jul 1934 #34 - Page 102

    By G. Fisti (Maestricht)

    Knowing that DEF and FAE are multiples of 11 and that

    D E F

    F A E

    * H F

    ---------

    * * H D

    find the number D***A***F which is a cube.

    77) Sphinx - Sep 1934 #36 - Page 136

    By A. Baudenne (Annevoie)

    ADELE, the farmer, reversed her grog inadvertently:

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    L E G R O G D E L A F E R M I E R E

    + E R E I M R E F A L E D G O R G E L

    -----------------------------------------------

    3 * * 1 4 * * 1 5 * * * * * * 9 * *

    She asks her husband ROGER to reconstruct her grog knowing that

    A D E L E

    + R O G E R

    ------------

    9 8 9 3 7

    ROGER is completely... groggy!

    But that doesn't prevent him from continuing to read

    "12 3456472 82 967450"

    78) Sphinx - Sep 1934 #37 - Page 136

    By G. Cottin (Brussels)

    OHEM and OMLI are the squares of two consecutive numbers: RG and

    RA, respectively.

    Also RG + RA = LET, and OHEM + OMLI = RTOR.

    What is the key?

    79) Sphinx - Sep 1934 #38 - Page 136

    By M. Pigeolet (Anvers)

    Reconstruct the multiplication.

    X S P H I

    * * * * *

    -------------S P H I N X

    X S P H I

    I N X S P H

    H I N X S P

    ---------------------

    * S * * * S S S * *

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    80) Sphinx - Sep 1934 #39 - Page 136

    By A. Colao (Castro-Verde)

    GALON and ALONG are the squares of GOO and OOG respectivelyto the base 6 system. What are these numbers?

    81) Sphinx - Sep 1934 #40 - Page 136

    By C. Milopoulo (Fontainebleau)

    When the numbers 1234567890 are substituted for an

    English word, it is possible to make the following magic

    square. The sums of the rows, columns and diagonals

    are 275.

    R L A A C N B D R C

    A E M C M L E A R B

    U A M B E E L R A U

    B R E U L M L N U E

    B N L D N C U U B M

    82) Sphinx - Oct 1934 #41 - Page 149

    By G. Cottin (Brussels)

    Find the key, knowing that R is a prime:

    A L G E R = R

    2

    N I G

    D E L T A = R [(A A D R x O) + R]

    83) Sphinx - Oct 1934 #42 - Page 149

    By A. F. Colao (Castro-Verde)

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    In the system of numeration base 6, we have:

    A M I C U S is a square,

    A is a square,

    M I is to the fifth power,

    I C U S is a square,U S is a square.

    84) Sphinx - Oct 1934 #43 - Page 149

    By G. Fisti (Maestricht)

    Find PIGEOLET, which is a cube. All the T's are given.

    E * * * T

    * * E T

    -------------

    * * * * E T

    T * * * *

    E * * * * *

    E * * * T

    -----------------

    P I G E O L E T

    85) Sphinx - Nov 1934 #47 - Page 169

    By G. Fisti (Maestricht)

    A A A U2

    = A L U M I N E if:

    (A + A + A + U)2

    = A + L + U + M + I + N + E.

    86) Sphinx - Nov 1934 #48 - Page 169

    From: The Strand Magazine (1922)

    Reconstruct the multiplication:

    N X P S I H = S P H I N X

    87) Sphinx - Nov 1934 #49 - Page 169

    By A. Rose-Inns (Yokohama)

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    There are eight brothers and sisters in a family: Georgette, Ulysse,

    Yvan, Marie, Annette, Roger, Isidore and Emile. All are less then

    10 years old. If you represent the age of each child by the first

    letter of its name, you obtain:

    Y U------------

    G U Y | M A R I E

    M A R E

    ---------

    E E

    If Marie is the youngest of the sisters, what is her age?

    88) Sphinx - Dec 1934 #52 - Page 185

    From: Denksport 1933 (Amsterdam)

    All the digits and zero are used in the multiplier and the

    multiplicand. All the 2's in the problem are given. Find

    the two solutions.

    * * * * *

    * * 2 * *

    -------------

    * * * * 2 *

    * 2 * * 2 ** * * 2 * *

    * * * * 2 *

    2 * * * * 2

    ---------------------

    a): * 2 * 2 2 * * * * *

    b): * 2 * * * * * * * *

    89) Sphinx - Dec 1934 #54 - Page 185By A. Gloden (Luxemburg)

    A B B C C A is a square, in which C = 2B.

    90) Sphinx - Dec 1934 #55 - Page 185

    By R. Baras (Saint-Cloud)

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    The series of numbers:

    NC - NL - NO - NU - TD - TS - TA

    forms an ascending arithmetic progression and the sum of these

    numbers is: I N I. What is the key?

    91) Sphinx - Dec 1934 #56 - Page 185

    By G. Cottin (Brussels)

    Find the key of this pair that must be solved together:

    C H I N E C H I N E

    + I N D E - I N D E

    ----------- -----------

    H O E E C C O P R Y

    92) Sphinx - Dec 1934 #57 - Page 185

    By A. Baudenne (Annevoie)

    An extract from a historical novel: "Facing this terrible sight, the duchess

    uttered a terrifying cry: HARRY, CAYLUS SE TUE ...!!! " (Harry, Caylus is

    killing himself...!!!); and the echo quickly repeats it by the thousand.

    A R R Y C A Y L U S S E T U EU T L A

    ----------------------------------

    Y L U S S E T U E H A R R Y C A

    A Y L U S S E T U E H A R R Y C

    C A Y L U S S E T U E H A R R Y

    Y C A Y L U S S E T U E H A R R

    ---------------------------------------

    Y E T S E T U E H A R R Y C A Y T T A