Answers 383- A GOLF COMPETITION PUZZLE
The players may be paired and arranged as follows:ROUNDS
1 2- 3 4 5
l"LINHS Be BF SF CE ADZ-UNJ(l; PA CD CA DF RE.3'''LlNt<S DE: E.A DB AB CF- FOOTBALL RESULTS
We see at once from the table that England beat Ireland and drew with
Wales. As E. scored 2 goals to 0 in these games, they must have won 2-0 and
drawn 0-0. This disposes of E. and leaves three games, W. v. I., S. v. I., and
S. v. w., to be determined. Now, S. had only I goal scored against them-by
W. or I. I. scored only I goal, and that must have been against W. or S.
Assume it was against S. In that case W. did not score against S. But W.
scored 3 goals altogether; therefore these must have been scored against I. We
find I. had 6 goals against them: 2 scored by E., as shown, 3 by W. (if we as-
sume that I. scored v. S.), and the remaining goal was scored by S. But, as we
have just assumed I. scored I goal against S., the match would have been
drawn. It was won by S., and therefore I. could not have scored against S.
Thus the goal against S. must have been scored by W. And as W. scored
3 goals, the other two must have been v. I., who must have scored their only
goal against W. Thus S. beat W. by 2-1 and I. by 2-0, while W. won by
2-1 v. I.
- THE DAMAGED MEASURE
Let the eight graduation marks divide the 33-inch measure into the follow-
ing nine sections: 1,3, 1,9,2,7,2,6,2, and any length can be measured from
I inch up to 33 inches. Of course, the marks themselves will be at 1,4, 5, 14,