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

Go to PART TWO PART THREE

1 - LION WORDS
1. Pavilion - 2, Stallion - 3. Pillion - 4. Trillion - 5. Pygmalion
6. Dandelion - 7. Medallion - 8. Bullion - 9. Vermilion - 10. Ganglion

2 - ZOOLOGICAL JUMBLE
Bison, Kangaroo, Marmoset, Mustang, Zebra.

3 - SHORT LONG DIVISION
1 7 7) 1 7 5 2 3 (9 9
1 5 9 3
        1 5 9 3
        1 5 9 3

It is clear that F must be 9 by inspecting first subtraction in which the difference between C and F is C. Since A, B, C, D and E are all prime they, must stand for (not in order) 1, 2, 3. 5 and 7; therefore ABB x 9 MUST end in an odd digit. Now since D - E = 9, D and E must be either 1 and 2, or 2 and 3. But since E must, be odd, it has to be 3. etc.)


4 - CROSSWORD QUIZ
ACROSS: 1. Halcyon; 6. Emmaus; 9. Ur; 10. Cob; 11. Belga; 13. Scott; 16. Rita; 16. Aar; 18. Taxin.
DOWN: 1. Herbert; 2. Amnesia; 8. Car; 4. Yucatan; 5 Nobel; 7. Mulct; 8. Son; 12. Goa; 14. Tai; 17. Ra
5 - MISSING MIDDLES
parApet; subTend; catHode; forEsee; carNage; kinShip
6 - SECRET AGES
6 1
+ 5 3
+ 3 1
     + 1 7
1 6 2

Since GA. OL, LA and AM are all prime, A must be odd. From the total — AGE it is clear A , must be either 1 or 3. Since the tens column has four different digits, their sum must be 30 or less. But G (in AGE) must be a significant figure. Therefore A must be less than 3. A = 1. M and L must be 3, 7 or 9. Whichevet the values of M and L. therefore. the units column must be over 10 but less than 20. Therefore A + L + 0 = 9, or L= + 0 = 8. Therefore L = 3, 0 = 5. Etc.


7 - PLUS-FOURS
1. Rest; 2 Disc; 3. Wood; 4. Cock; 5. Barb; 6. Back; 7. Prop; 8. Horn; 9. Part; 10 Wing
(One or two different heads may be found)
8 - ANAGRAMMATIC QUARTET
1 Panel; 2 Nepal; 3 Penal; 4 Plane
9 - PUZZLING DESKS
784, 961, and 676.
This was a very eay problem. LMN, OPS, and PLP are square numbers. Since UNUS = 2421, N = 4, S = 1, P must be 6 . PLP must be 676 as this is the only square that fits. The rest should be easy.
10 - VOCABULARY QUIZ
1 - c; 2 - b; 3 - a; 4 - b; 5 - a; 6 - b
11 - ROAD TEASER
3 km
(Let the distance between S and Q be x
Then (6 + x)2 + 122 = (18 — x)2 from which it will be found that x = 3.)
12 - CHANGING. LADDERS
Here is one solution. for each:
PORK, PORT, PERT, PEAT, PEAL, VEAL.
SHOT, SOOT, COOT, COAT, GOAT, GOAL.
13 - EASTER TREAT

14 - WHAT'S THE WORD?
BYSTANDER
15 - SLIDOPANS
PANGOLIN; SPANKING; APPANAGE; TYMPANIC; FLIPPANT; MARZIPAN
16 - NOSY LETTERS
SYNONYMOUS

17 - DRAWING SKILL

18 - MISSING LETTER AND DROPPED SPACES
TEN INDIAN RUNNERS WON NINE EVENTS

19 - MUSICAL COMPOSITIONS
Clarinet, Lute, Harmonica, Lyre, Celeste; Tuba

20 - THE DART PLAYER
Seven 39's and three 9's or four 39's, three 29's and three 19's.

21 - THE SUM
888 + 88 + 8 + 8 + 8 = 1000

22 - MAGIC WORD SQUARE
CARESS; ATOMIC; ROMPER; EMPIRE; SIERRA; SCREAM
23 - CAMOUFLAGED BIRDS
1. GANNET; 2. OSPREY; 3. TOUCAN 4, OSTRICH; 5. PENGUIN; 6. STARLING; 7. AVOCET; 8. NIGHTJAR
24 - PARK PATHS
200 metres. (AB + AF = ˝ perimeter = 700 metres.
Let x = AF

Then x2 + (700 — x)2 = 5002, from which x = 300 (the other value being inadmissible) Therefore XE = 300, XD = 100, and DE = 200 metres The diagram has been purposely drawn to mislead solvers


25 - SQUARE FIELDS
97 Metres

72 x 72 = 5184
65 x 65 = 4225
97 x 97 = 9409

CDEH, HEBC and MHOM must be square numbers. Since the square of KC ends in the same letter, C must be 1 or 5 or 6, 0 being impossible as no square number ends with the same two letters„ Now all square numbers must end in 1, 4, 5, 6, and 9. Also, since both CDEH and HBBD are four figure square numbes, they must represent squares of numbers higher than 31 [whose square is 961] therefore, AB and KC must add up to over 62, but AB and KC have different tens figures. Therefore, AB + KC must be over 70 or M must be either 7 or higher. Since M is a square unit digit it must be 9 .... also C = 5, H = 4, etc.


26 - GIVE AND TAKE ANAGRAMS
Here is one solution COURTESY - OUTCRIES - COUNTERS - TROUNCED - ROUNDLET
27 - CROSS-QUIZ
Across: 3. Pavan; 6, Arena; 7. Urges; 8, Loath
Down: 1, Varro; 2. Manet; 3 and 5. Paul Nash; 4. Vega
28 - QUIZ

1. (a) Snooker, (b) Cycling, (c) Table Tennis, (d) Cricket, (e) Golf, (f) Badminton.
2. Cardinal Newman.
3. Thick-skinned.
4. (a) Thaekeray's "Vanity Fair"; (b) Dickens's "Bleak House"; (c) Jane Austin's "Pride and Prejudice"; (d) Sheridan's "The Rivals".


29 - FIND THE FAMOUS
O U T F L A N K
M O U T H F U L
T R O U T I N G
V E R M O U T H
M A R A B O U T

Sporting Personality: KEITH MILLER


30 - PLUS SIX
1. TROUBLES 2. ABSOLUTE 3 OBSTACLE
31 - WEIGHTY TEASER
27, 13, 6, 3 and 1
32 - HIDDEN FILM STAR
DAVID NIVEN

Damon
Mafia
Laval
Beria
Naiad
33 - COMMONWEALTH BASE
A
A S
S P A
S P A R
P A R S E
A S P I R E
P E R S I A N
S P E A R I N G
S I N G A P O R E

34 - TWIN ANAGRAMS

(a) words, sword; (b) prince, pincer; (c) cleric, circle; (d) respect, sceptre; (e) notices, section.


35 - WORD PYRAMID
A
A S
S A T
O A T S
C O A S T
C O S T A L
S T O I C A L
V O C A L I S T
V O L C A N I S T

36 - THE MARKED COUNTER

Since there were 6 correct hits in all the marked counter must have been in one of the letters or numbers appering 3 times in the guesses namely 2, 3, C and D. Now from Ben's guesses it is clear that C must be a hit therefore D is inadmissible. Similarly 2 is eliminated examining Tom's or Len's guesses (in each of which the direct hit is C.)


37 - PLUS THREE

1. Macadam; 2. Cocoon; 3. Stressed; 4. Statute; 5. Nonagon; 6. Alleluia; 7. Unusual; 8. Gauging


38 - CRYPTIC CRICKET
X = 3; Y = 1; Z = 7
39 - PUZZLERS' CONGRESS
1. Marseilles; 2. Bucharest; 3. Fribourg; 4. Barcelona; 5. Rotterdam; 6. Leningrad
40 - MASQUERADING IMMORTALS

1. Praxiteles; 2, Simenon; 3. Constantine; 4. Matisse; 5. Aeschylus; 6. Ponchielli; 7. Livingstone; 8. Carpentier; 9. Swinburne; 10, Pestalozzi


41 - OPERATIC CROSSWORD
SPEAR
A A I
LATIN
E E S
SINCE

"Patience" by Arthur S. Sullivan, Also well-known card game requiring a lot of patience.


42 - CARD ADDITION

8 7 6 9
  7 6 2
9 5 3 1


43 - UNDERGROUND

44 - POLO TO GOLF
POLO - SOLO - SOLD - GOLD - GOLF
45 - LETTER DIVISION

PLAYGROUND
(Clearly P = 1; since N - D = N; D = 0, and G = 5. The rest should not prove difficult)
BACK TO QUESTIONS