![]() | Answers Part ONE |
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.)
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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. |
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
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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.
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".
Sporting Personality: KEITH MILLER
(a) words, sword; (b) prince, pincer; (c) cleric, circle; (d) respect, sceptre; (e) notices, section.
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.)
1. Macadam; 2. Cocoon; 3. Stressed; 4. Statute; 5. Nonagon; 6. Alleluia; 7. Unusual; 8. Gauging
1. Praxiteles; 2, Simenon; 3. Constantine; 4. Matisse; 5. Aeschylus; 6. Ponchielli; 7. Livingstone; 8. Carpentier; 9. Swinburne; 10, Pestalozzi
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"Patience" by Arthur S. Sullivan, Also well-known card game requiring a lot of patience.
8 7 6 9 |