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Author Topic: New Games (Dec99, sec1, q16) - try this (6)  (Read 385 times)

nemo

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New Games (Dec99, sec1, q16) - try this (6)
« on: September 07, 2005, 08:27:04 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.

Suppose that in addition to the original five cars Jabrohn's car is also washed. If all the other conditions hold as given, which one of the following CANNOT be true?

a) Orlando's car receives a premium wash
b) Vinquetta's car receives a super wash
c) four cars receive a regular wash
d) Only the second and third cars washed receive a regular wash
e) Jabrohn's car is wahsed after Frank's car.

XYZZY

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Re: New Games - try this (6)
« Reply #1 on: September 07, 2005, 08:37:12 PM »

these are the same game, i presume?  can you post the date, section and question #'s, and someone will get back to you?  ;)

nemo

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Re: New Games (Dec99, sec1, q16) - try this (6)
« Reply #2 on: September 07, 2005, 08:44:49 PM »
Just updated. thanks!
as you can see, I'm totally new here, but thought this is a great community.  ;D

bcguy

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Re: New Games (Dec99, sec1, q16) - try this (6)
« Reply #3 on: September 08, 2005, 07:02:09 AM »
Not sure if anyone will understand this...but regardless. Don't be too concerned with what wash goes where, just try to get the order down.

P4) V before O or T
P5) O before M before F
Combined =, V before O before M before F

V must go 1st, M can go no later than 4th, O must go between V and M somewhere, and T can float anywhere after V. F must be in one of the last 2 positions.
Possible orders of the 5 cars: VOMTF, VOMFT, VOTMF, VTOMF

Still difficult to pick the correct response, so start trying to prove that they could be true, starting with:

a) Orlando's car receives a premium wash

P2) Exactly (only!) one car receives a premium wash.
P3) The second and third cars washed receive the same kind of wash as each other.
P6) Marquitta's and the car wahsed immediately before Marquitta's receive regular washes.
Combined =, Premium wash does not equal the 2nd, 3rd, or car before M's

We know that even with car (J) added to the mix, O has to fall between V and M, so try to leave as much space as the rules will allow between V and M to try and match O and a premium wash together.

J really has no impact on the order of the cars, it could go anywhere. However, with J included, V can go either 1st or 2nd, and M can go no later than 5th. The largest gap we can create between V and M is by putting V 1st and M 5th.

As concluded from P2, P3, and P6; the 2nd, 3rd and car before M (the 4th car, if M's 5th) cannot have the premium wash. With V 1st and M 5th, the only places for O are 2nd, 3rd or 4th. Doesn't work! O CANNOT have a premium wash, and therefore, "A" is the correct response.

Gotta love the correct response to a "CANNOT be true" question located at the top of the list.