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Logic Puzzles Revisited

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COLLABORATIVE INVESTIGATION<br />

<strong>Logic</strong> <strong>Puzzles</strong> <strong>Revisited</strong><br />

The logic puzzles in the Extension on pages 133–136<br />

are fairly elementary, considering the complexity of<br />

some of the other problems found in the three magazines<br />

mentioned. The problem here requires more<br />

time and reasoning skills than the ones appearing<br />

in the Extension. It is taken from Dell <strong>Logic</strong> <strong>Puzzles</strong>,<br />

October 1999.<br />

The class may wish to divide up into groups and<br />

see which group can solve this problem fastest.<br />

DUNKING BOOTH by Margaret<br />

Rounds<br />

In order to help raise money for Dellville’s annual fall<br />

festival, the coach of a local men’s baseball team volunteered<br />

to sit in a dunking booth. Five of Coach<br />

Clark’s players, each of whom plays a different position<br />

on the team (including first base), stepped up to<br />

the challenge of dunking him, and each player took a<br />

different number of throws (two, four, five, six, or<br />

nine) to complete his mission. From the clues below,<br />

can you determine the order in which each player<br />

(identified by full name—one surname is Winslow)<br />

dunked the coach, the number of throws it took to do<br />

so, and the position each plays<br />

1. The right fielder took three more throws than<br />

Josh (who wasn’t the last dunker).<br />

2. The shortstop threw immediately before<br />

Mr. Belford, who threw immediately before Geoffrey.<br />

3. Mr. Cavallo dunked the coach with his sixth<br />

pitch.<br />

4. The players who took an even number of throws<br />

are Scott, Mr. Hepler, and the fifth person to<br />

dunk the coach, in some order.<br />

5. The pitcher (who wasn’t the fourth dunker) took<br />

more throws than Oliver, but fewer throws than<br />

Mr. Janney.


Chapter 3 Test 149<br />

6. The players who took an odd number of throws<br />

are Edgar and the catcher, in some order.<br />

First Last<br />

Order name name Throws Position<br />

First<br />

Second<br />

Third<br />

Fourth<br />

Fifth<br />

Catcher<br />

First base<br />

Pitcher<br />

Right Field<br />

Shortstop<br />

Two<br />

Four<br />

Five<br />

Six<br />

Nine<br />

Belford<br />

Cavallo<br />

Hepler<br />

Janney<br />

Winslow<br />

Edgar<br />

Geoffrey<br />

Josh<br />

Oliver<br />

Scott<br />

Belford<br />

Cavallo<br />

Hepler<br />

Janney<br />

Winslow<br />

Two<br />

Four<br />

Five<br />

Six<br />

Nine<br />

Catcher<br />

First base<br />

Pitcher<br />

Right field<br />

Shortstop

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