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| Double negative (Posted on 2021-06-09) |
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Initially I was searching for a solution of the
alphametic NO*NO=YES and discovered that there are 4 distinct solutions.
Find them.
Later, while searching for a single solution I have discovered the following:
a). The 3-letter valid words that qualify as the product NO*NO must consist of 3 distinct letters, one of them being
either “n “ or “o,”
Provide as many examples as you may .
b).There are many 4-letter words complying with the above
statement.
Show some examples.
c)Product with 4 distinct digits have 7 distinct solutions.
Find them.
d) 4-letter word solutions with neither “n” or”o” must consist of 3 distinct letters (one letter repeated).
Show at least 20 examples.
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No Solution Yet
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Submitted by Ady TZIDON
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Rating: 5.0000 (1 votes)
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solution, in parts
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Comment 3 of 3 | 
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NO×NO=YES
17×17=289
18×18=324
24×24=576
29×29=841
part a)
*Charlie's list included many of the valid 3-letter
words that qualify as the alphametic product of NO*NO
where either N or O are part of the solution.
The following are other 3-letter valid words that
also qualify:
APO, BOH, BOI, BOK, BOR, DAN, DAO, DOB, DOF, DOH,
DOP, DOY, DZO, EAN, ECO, EMO, EVO, EXO, GEO, GIO,
GOE, GOV, HAN, HOA, HOC, HOI, HOM, HOS, HOX, IOS,
ISO, JOL, JOR, KOW, LOD, LOR, LOS, LOU, LOY, MNA,
MOE, MOI, MOU, MOY, MOZ, NAS, NAT, NED, NEF, NEG,
NEK, NEP, NID, NIS, NUR, NYE, NYS, PHO, POA, POS,
POZ, REN, REO, ROK, SAN, SNY, SOC, SOG, SOH, SOV,
TOC, UFO, UNI, VIN, VOL, VOR, WOX, YGO, YOS, ZHO,
ZOL, ZOS
For parts b, c, and d there are many alternate words.
Only a selection are shown.
part b)
32×32=1024
78×78=6084
82×82=6724
: CROW, FLOG, SLOP
36×36=1296
51×51=2601
61×61=3721
71×71=5041
86×86=7396
: AGIO, AUTO, ECHO
37×37=1369
49×49=2401
: ANKH, INCH, SNIP
42×42=1764
48×48=2304
93×93=8649
: HEWN, THIN, VAIN
43×43=1849
69×69=4761
: KIND, LUNG, TANH
52×52=2704
87×87=7569
: OATS, OLDS, OVER
73×73=5329
89×89=7921
: DORK, FORM, POSH
98×98=9604
: NAIL, NEXT, NUMB
part c) 0 1 2 3 4 5 6 7 8 9
53×53 = 2809 THIS : I - T O - N - - H S
54×54 = 2916 TASK : - S T - O N K - - A
57×57 = 3249 FLEW : - - L F E N - O - W
59×59 = 3481 BURY : - Y - B U N - - R O
72×72 = 5184 CREW : - R O - W C - N E -
79×79 = 6241 ZEST : - T E - S - Z N - O
84×84 = 7056 QUIT : U - - - O I T Q N -
part d) 0 1 2 3 4 5 6 7 8 9
34×34 = 1156 AAHS : - A - N O H S - - -
38×38 = 1444 BRRR : - B - N R - - - O -
39×39 = 1521 AQUA : - A U N - Q - - - O
BARB : - B R N - A - - - O
CHIC : - C I N - H - - - O
DEAD : - D A N - E - - - O
EDGE : - E G N - D - - - O
FIEF : - F E N - I - - - O
GLUG : - G U N - L - - - O
HIGH : - H G N - I - - - O
KICK : - K C N - I - - - O
LEAL : - L A N - E - - - O
MAIM : - M I N - A - - - O
PUMP : - P M N - U - - - O
REAR : - R A N - E - - - O
SKIS : - S I N - K - - - O
THAT : - T A N - H - - - O
WHEW : - W E N - H - - - O
47×47 = 2209 AALS : L - A - N - - O - S
58×58 = 3364 EERY : - - - E Y N R - O -
62×62 = 3844 HAJJ : - - O H J - N - A -
67×67 = 4489 EELY : - - - - E - N O L Y
92×92 = 8464 JAVA : - - O - A - V - J N
94×94 = 8836 EECH : - - - C O - H - E N
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Posted by Dej Mar
on 2021-06-10 16:38:15 |
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