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Author Topic: New Games - (Dec99, sec1, q15) try this (5)  (Read 411 times)

nemo

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New Games - (Dec99, sec1, q15) try this (5)
« on: September 07, 2005, 08:25:24 PM »
***PLEASE POST YOUR ANSWER WITH DETAILED EXPLANATIONS!!***

Exactly five cars -- Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's -- are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, suer, or premium. The following conditions must apply:

The first car washed does not receive a super wash, though at least one car does.
Exactly one car receives a premium wash.
The second and third cars washed receive the same kind of wash as each other.
Neither Orlando's nor Taishah's is washed before Vinquetta's.
Marquitta's is washed before Frank's, but after Orlando's.
Marquitta's and the car wahsed immediately before Marquitta's receive regular washes.

Which one of the following is a conplete and accurate list of the cars that must receive a regular wash?
a) Frank's, Marquitta's
b) Marquitta's, Orlando's
c) Marquitta's Orlando's Taishah's
d) Marquitta's, Taishah's
e) Marquitta's, Vinquetta's

Atlas429

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Re: New Games - (Dec99, sec1, q15) try this (5)
« Reply #1 on: September 08, 2005, 10:58:15 AM »
It's B.

M always get the regular wash, as does the car that goes before it.

Furthermore, M can only go in either then the 4th or 3rd spot. If it goes in the third spot you have:

V         V
O         O
M         M
T         F
F         T

M and O must get the same type of wash since they're in the third and second spots.

If M is in the 4th spot

V
O
T
M
F

M and T both get the regular wash. Also T and O must get the same type of wash since they're in the 3rd and 2nd spot. This must be a regular wash.

So in both cases M and O must get the regular wash while T may or may not get one.

XYZZY

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Re: New Games - (Dec99, sec1, q15) try this (5)
« Reply #2 on: September 08, 2005, 05:26:52 PM »
basically what atlas said.

click on this link from imageshack






the key for me was making two templates with Marquita.