PrepTest 34, Section 1, Question 14

Difficulty: 
Passage
Game
3

Exactly seven different trains�Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York�arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals:

Exactly seven different trains�Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York�arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals:

Exactly seven different trains�Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York�arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals:

Exactly seven different trains�Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York�arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals:

The trains arrive one at a time.

Either the York or the Wooster arrives fourth.

The Sunnydale arrives at some time after the Wooster but at some time before the York.

Both the Tilbury and the Victoria arrive at some time after the Rockville.

The Tilbury does not arrive next after the Victoria; nor does the Victoria arrive next after the Tilbury.

Question
14

If the Wooster arrives at some time before the Rockville, then exactly how many different orders are there in which the seven trains could arrive?

four

five

six

seven

eight

A
Raise Hand   ✋

Explanations

6 Worlds, Full Solution
A
B
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D
E

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