Put on Your Thinking Cap FOUR - Answers [Thomas Vella-Zarb]

Put on Your Thinking Cap
ANSWERS
PART FOUR

136 - FIND THEIR AGES
79 and 89
From the addition, E = 1, since B x B ends in 1, B = 9. Therefore A + E + E (in AEE) = 9 and A = 7. From the addition B + B = 18, so C = 8

137 - OPERATIC COMPOSITIONS
1: Fault | 2: Forth | 3: Ghost | 4: Covet | 5: Sleep
"The Perfect Fool" by Gustav Holst

138 - OPERATIC COLUMN
(IL) TROVATORE
1. Trollope; 2. Portugal; 3. Elevator; 4. Vendetta; 5. Forensic; 6. Asteroid

139 - GEPGRAPHICAL FACTS OR FALSEHOODS
False: 1, 2, 6, 8, 9, 10

140 - FOOTBALLER AND TEAM
RAYMOND KOPA. REAL MADRID.
Drake; Llama; Mayo; Lomond; Composer; Park; Capri; Condor; Candia

141 - UNSQUARE DEAL
187
Let ABC be the number; then the boy's answer is ABC x (A + B + C) Therefore, 31,977 must be equal to ABC (ABC—(A + B + C)). Now the factors of 31,977 are: 3, 3, 11, 17, and 19. Of these 11 x 17 give 187 and the others, 171; 16 less than 187.

142 - PLUS TWO
PARTIES
(1. Panorama: 2. acerbity 3. redrafts: 4. toreador; 5. innovate: 6. endocarp; 7. saturate.)

143 - MIRACLE PLAY AND COMPOSER
Play: The Juggler of Notre Dame Composer: Jules Massenet
[1. Athens; 2. Flatter; 3. Conjure; 4. Sever; 5. Edam; 6. Sofia; 7. Jig; 8. Numeral; 9. Aglow]

144 - CENTIPEDE WORDS
1. Ultramarine; 2. Promulgate; 3. Tantamount; 4. Funambulist; 5. Bicephalous;
6. Paniferous; 7. Umbriferuous; 8. Argillaceous; 9. Nonchalantly; 10. Opprobrium

145 - PROGRESSIVE ARCHES
1. ARCHITRAVE
2. PARCHMENTS
3. EXARCHATES
4. MONARCHIST
5. RESEARCHER
6. MATRIARCHY
7. HERESIARCH

146 - PLUS EIGHTEEN
A F R E S H
F I A N C E
E N G I N E
S C E N E S
H E R E S Y

147 - FILL IN THE FIGURES
a = 2; b = 7; c = 3; d = 8; e = 1; f = 6; g = 5; h = 4; k = 9 Second set of equations = 38
[The first set of equations reveals that 2a + b + c + 2d + e + f + 2g + h + k = 60. But since the nine digits add up to 45, therefore a + d + g = 15. Since d = 4a, g must be 5, since a and d cannot stand for 1 and 4 respectively. The rest can be found by trial.]

148 - FORE AND AFT
1. One. 2. Pet. 3. Man 4. Can 5. Ant.
6. Red 7. End. 8. Bar 9. Kin 10. Use.
11. Her. 12. Ten 13. Men 14. Tee 15. Era.
16. Wed 17. Eve 18 Asp. 19. Den, 20. The.

149 - CROSS FIGURES

4
3
8 7 9 1 2
5
6

150 - FIND TWO WORDS
IRRESPONSIBILITY and AUTOBIOGRAPHICAL

151 - PLUS ONE
PUN
(terraPin misUsing kNickers)

152 - QUIZ
Tamarin, Moufflon

153 - VISITING CARD
Clarinet, Oboe, Tuba

154 - CRYPTOGRAM

6 3 7 x 1 3 = 8 2 8 1
- + -
4 4 1 x 9 = 3 9 6 9
1 9 6 x 2 2 = 4 3 1 2

155 - MICRO-CROSSWORD
Across: 1. ALP 4. DEN
Down: 1, A.M. 2. PROD 3. IN

156 - FIFTH COLUMNISTS
a - Cube [a solid among plane figures]
b - Sargasso [a sea among lakes]
c - Potsdam [not in Holland]
d - Tetrameter [not an instrument]
e - Mustang [a real beast among mythological ones]
f - Murillo [a painter among sculptors]
g - Vienna [not behind the Iron Curtain]
h - Ocarina [not a wind instrument]
i - Grieg [a Norwegian among Germans]
j - Pope [Alexamder among Johns]

157 - SKELETON MULTIPLICATION

7 4 9
4 5 6
4 4 9 4
3 7 4 5
2 9 9 6
3 4 1 5 4 4

158 - BUILDOGRAM
Here is one solution:
Across: 1- EAR 4- SUN 6- GO
Down: 2- AS 3- RUG 5- NOD
9-letter word: DANGEROUS
Score: 20 points

159 - HOUSE NUMBERS
431

160 - RUM-TAILED WORDS
1 - Lustrum; 2 - Fulcrum; 3 - Rostrum; 4 - Sistrum; 5 - Plectrum;
6 - Humdrum; 7 - Conundrum; 8 - Arum; 9 - Spectrum; 10 - Strum

161 - WORD PYRAMID O
T O
T O R
T O R E
O U T E R
R O U T E D
D E T O U R S
O U T S I D E R
D I P T E R O U S

162 -TAR WORDS
1 . Tarsier
2. Tartan
3 . Tarboush
4. Tarlatan
5. Tarantass
6. Tarantella
7. Tarantula
8. Tarsus
9. Tarapon
10. Tardigrade

163 - DISFIGURED MULTIPLICATION

1 7 1
7 7 1
1 7 1
1 1 9 7
1 1 9 7
1 3 1 8 4 1

165 - RIGHT HALVES
1. AMAZON
2. GANGES
3. MILTON
4. DRYDEN
5. THENS
6. TIRANA
7. SISKIN
8. OIOLE
9. CROCUS
10. MIMOSA

166 - ROMAN CROSSWORDS
Across:
1. VLIL [volatile]
5. CLMI [clematia]
6. LLIC [gallic]
7. IILI [nihilist]
Down:
1 VCLI [vocalist]
2. LILI [lullabies]
3. IMIL [simile]
4. LICI [affliction]

167 - SEVEN ONES

1 3 7
1 9 3
4 1 1
1 2 3 3
1 3 7
2 6 4 4 1

Obviously B and D cannot hide two nines.otherwise the line EII would run into four figures.thus B and D must hide, not necessarily in that order, 8 and 7. If D covered 7 and B, 3, line EII would have to run into four figures, in order to have two ones at the end. Terefore B covers 7, and D, 3 and A also 3. Now C must hide either 8 or 9. ottherwise, IFGH would not be a four figure number. But 8 times 137 would mean that F conceals a Zero. which is inadmissible. So C covers a 9, etc.

168 - CENSORED WORDS
Censored word common to all is CORNET.
Words: 1. Pentachord; 2. Octahedron; 3 Necrolatry; 4. Laceration; 5. Introduced; 6. Concentric; 7. Counteract; 8. Protection; 9. Auctioneer; 10. Concertina

169 - DISSECTION

The required squares are ABCD, and CBEF. The three cuts are along DA, CB, and DF. SD is 3 cm long.

171 - QUIZ BOX 1. a | 2. c | 3. d | 4. c | 5. b

173 - CRYPTIC DIVISION H Y P E R B O L I C
The best point of attack is PPP, which must be a multiple of 37. Therefore EL is either 37 or 74, but EL times P equals LR. Therefore, EL = 37, LR = 74, and P = 2, etc.

174 - TICKLISH SQUARE
24 cm
Area of ABCD = 961 cm², therefore the area of the 8 triangles = 672 cm² and area of square PQRS = 289 + 336 [½ of 672] or 625 cm² Hence SP - 25 cm. therefore AP² + AS² = 625. Taking AP as x, and AS as [31 - x] we gat x² + [31 - x]² = 625, from which we get x = 24.

175 - SCULPTURE AND SCULTOR ECCE HOMO by JACOB EPSTEIN
Words: 1. Enoch; 2. Ceres; 3. Homonym; 4. Diet; 5. Pepys; 6. Jackal; 7. Ebro

176 - SPORTING SIX Badminton, Golf, Hockey, Lacrosse, Polo, Tennis

177 - 1 --- 2 --- X 1 = X | 2 = 2 | 3 = X | 4 = X | 5 = 2 | 6 = 2 | 7 = 2 | 8 = X | 9 = 1 | 10 = X

179 - FUEL PROBLEM

4 3 5 6
2 0 5 1) 8 9 3 2 0 5 6
8 2 0 4
7 3 0 1
6 1 5 3
1 1 4 8 5
1 0 2 5 5
1 2 3 0 6
1 2 3 0 6

180 - WORD SQUARE E P I C
P O L O
I L L S
C O S Y

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