Logic Problem Solution:
Slug the Signs
From the introduction, looking out from home plate the fans see,
from left to right, one sign in LF, two in CF, and two in RF.
By clue 4, starting from the LF foul pole, these three signs
are in order, though not necessarily consecutive: Mike's, the
sign for the 1B to hit, and the sign for Miller's Hardware.
By clue 1, the Ohlmayer's Meat Packing Co. sign is one of the
two in CF. Since neither the 1B (7) nor Mike (10) has the
Ohlmayer's sign as his target, Mike and the 1B can't both have
signs in CF. If Mike's target sign were in LF, then Ohlmayer's
would be in CF (1) and, since the 1B doesn't have that sign as
his target, by clue 4, the Miller's Hardware sign would be
in RF. Since the player who wins a prize for a fan by hitting
the Miller's Hardware sign isn't the 2B (8), by clue 11, the
2B's target would be the other RF sign. Then the 1B would have
the CF sign other than Ohlmayer's to aim for (4, 7). By clue 2,
the SS who can win for a fan by hitting the Hometown Savings &
Loan sign would be Mike--a conflict with clue 10. Therefore,
Mike's sign isn't in LF and must be in CF. The Ohlmayer's Meat
Packing sign is the second one in CF (1, 10). The 1B's target
and the Miller's Hardware sign are in RF (4), since the 1B isn't
the player who can win the beef for a fan (7). Since the 2B
isn't the one who can win a lawn mower from Miller's (8), he
has his target in CF (11), as does Ruth, and Barry's must be in
LF. Since Mike isn't the SS (10), in clue 2, Barry is and aims
for the Hometown Savings & Loan sign. Daryl's sign is in CF (9),
the Ohlmayer's Meat Packing Co. advertisement. By clue 12, the 1B
aims for the Luxor Limos sign, and Mike for the Better Bicycle
Shop's. Mike then isn't the 2B (6) and is Ruth in clue 11;
Daryl is the 2B. Barry isn't Palmer (2), Ott (5), or Banks (14)
and is Johnson. Daryl isn't Ott (1) or Palmer (9) and is Banks.
By clue 8, Ott is the 1B and Palmer's sign is the Miller's
Hardware one. Palmer plays C and Mike 3B (13). C Palmer is
Ron and Jim Ott (3). The five Summerset Slugs who can win
prizes for the fans, and the signs they need to hit on the fly
to do so are
- Barry Johnson, SS, Hometown Savings & Loan
- Mike Ruth, 3B, Better Bicycle Shop
- Daryl Banks, 2B, Ohlmayer Meat Packing Co.
- Jim Ott, 1B, Luxor Limos
- Ron Palmer, C, Miller's Hardware
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