Time—35 minutes

23 Questions

## Directions

Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. Choose the response that most accurately and completely answers each question and blacken the corresponding space on your answer sheet.

## Passage for questions 1 through 5

A company employee generates a series of five-digit product codes in accordance with the following rules:

The codes use the digits 0, 1, 2, 3, and 4, and no others.

Each digit occurs exactly once in any code.

The second digit has a value exactly twice that of the first digit.

The value of the third digit is less than the value of the fifth digit.

- If the last digit of an acceptable product code is 1, it must be true that the
- first digit is 2
- second digit is 0
- third digit is 3
- fourth digit is 4
- fourth digit is 0

- Which one of the following must be true about any acceptable product code?
- The digit 1 appears in some position before the digit 2.
- The digit 1 appears in some position before the digit 3.
- The digit 2 appears in some position before the digit 3.
- The digit 3 appears in some position before the digit 0.
- The digit 4 appears in some position before the digit 3.

- If the third digit of an acceptable product code is not 0, which one of the following must be true?
- The second digit of the product code is 2.
- The third digit of the product code is 3.
- The fourth digit of the product code is 0.
- The fifth digit of the product code is 3.
- The fifth digit of the product code is 1.

- Any of the following pairs could be the third and fourth digits, respectively, of an acceptable product code,
*EXCEPT*:- 0, 1
- 0, 3
- 1, 0
- 3, 0
- 3, 4

- Which one of the following must be true about any acceptable product code?
- There is exactly one digit between the digit 0 and the digit 1.
- There is exactly one digit between the digit 1 and the digit 2.
- There are at most two digits between the digit 1 and the digit 3.
- There are at most two digits between the digit 2 and the digit 3.
- There are at most two digits between the digit 2 and the digit 4.

## Passage for questions 6 through 10

Exactly three films—*Greed*, *Harvest*, and *Limelight*—are shown during a film club's festival held on Thursday, Friday, and Saturday. Each film is shown at least once during the festival but never more than once on a given day. On each day at least one film is shown. Films are shown one at a time. The following conditions apply:

On Thursday *Harvest* is shown, and no film is shown after it on that day.

On Friday either *Greed* or *Limelight*, but not both, is shown, and no film is shown after it on that day.

On Saturday either *Greed* or *Harvest*, but not both, is shown, and no film is shown after it on that day.

- Which one of the following could be a complete and accurate description of the order in which the films are shown at the festival?
- Thursday:
*Limelight*, then*Harvest*; Friday:*Limelight*; Saturday:*Harvest* - Thursday:
*Harvest*; Friday:*Greed*, then*Limelight*; Saturday:*Limelight*, then*Greed* - Thursday:
*Harvest*; Friday:*Limelight*; Saturday:*Limelight*, then*Greed* - Thursday:
*Greed*, then*Harvest*, then*Limelight*; Friday:*Limelight*; Saturday:*Greed* - Thursday:
*Greed*, then*Harvest*; Friday:*Limelight*, then*Harvest*; Saturday:*Harvest*

- Thursday:
- Which one of the following
*CANNOT*be true?*Harvest*is the last film shown on each day of the festival.*Limelight*is shown on each day of the festival.*Greed*is shown second on each day of the festival.- A different film is shown first on each day of the festival.
- A different film is shown last on each day of the festival.

- If
*Limelight*is never shown again during the festival once*Greed*is shown, then which one of the following is the maximum number of film showings that could occur during the festival?- three
- four
- five
- six
- seven

- If
*Greed*is shown exactly three times,*Harvest*is shown exactly twice, and*Limelight*is shown exactly once, then which one of the following must be true?- All three films are shown on Thursday.
- Exactly two films are shown on Saturday.
*Limelight*and*Harvest*are both shown on Thursday.*Greed*is the only film shown on Saturday.*Harvest*and*Greed*are both shown on Friday.

- If
*Limelight*is shown exactly three times,*Harvest*is shown exactly twice, and*Greed*is shown exactly once, then which one of the following is a complete and accurate list of the films that could be the first film shown on Thursday?*Harvest**Limelight**Greed*,*Harvest**Greed*,*Limelight**Greed*,*Harvest*,*Limelight*

## Passage for questions 11 through 17

A cruise line is scheduling seven week-long voyages for the ship *Freedom*. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to *Freedom*'s schedule:

Jamaica will not be its destination in week 4.

Trinidad will be its destination in week 7.*Freedom* will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages.

Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica.

No destination will be scheduled for consecutive weeks.

- Which one of the following is an acceptable schedule of destinations for
*Freedom*, in order from week 1 through week 7?- Guadeloupe, Jamaica, Martinique, Trinidad, Guadeloupe, Martinique, Trinidad
- Guadeloupe, Martinique, Trinidad, Martinique, Guadeloupe, Jamaica, Trinidad
- Jamaica, Martinique, Guadeloupe, Martinique, Guadeloupe, Jamaica, Trinidad
- Martinique, Trinidad, Guadeloupe, Jamaica, Martinique, Guadeloupe, Trinidad
- Martinique, Trinidad, Guadeloupe, Trinidad, Guadeloupe, Jamaica, Martinique

- Which one of the following
*CANNOT*be true about*Freedom*'s schedule of voyages?*Freedom*makes a voyage to Trinidad in week 6.*Freedom*makes a voyage to Martinique in week 5.*Freedom*makes a voyage to Jamaica in week 6.*Freedom*makes a voyage to Jamaica in week 3.*Freedom*makes a voyage to Guadeloupe in week 3.

- If
*Freedom*makes a voyage to Trinidad in week 5, which one of the following could be true?*Freedom*makes a voyage to Trinidad in week 1.*Freedom*makes a voyage to Martinique in week 2.*Freedom*makes a voyage to Guadeloupe in week 3.*Freedom*makes a voyage to Martinique in week 4.*Freedom*makes a voyage to Jamaica in week 6.

- If
*Freedom*makes a voyage to Guadeloupe in week 1 and a voyage to Jamaica in week 5, which one of the following must be true?*Freedom*makes a voyage to Jamaica in week 2.*Freedom*makes a voyage to Trinidad in week 2.*Freedom*makes a voyage to Martinique in week 3.*Freedom*makes a voyage to Guadeloupe in week 6.*Freedom*makes a voyage to Martinique in week 6.

- If
*Freedom*makes a voyage to Guadeloupe in week 1 and to Trinidad in week 2, which one of the following must be true?*Freedom*makes a voyage to Martinique in week 3.*Freedom*makes a voyage to Martinique in week 4.*Freedom*makes a voyage to Martinique in week 5.*Freedom*makes a voyage to Guadeloupe in week 3.*Freedom*makes a voyage to Guadeloupe in week 5.

- If
*Freedom*makes a voyage to Martinique in week 3, which one of the following could be an accurate list of*Freedom*'s destinations in week 4 and week 5, respectively?- Guadeloupe, Trinidad
- Jamaica, Guadeloupe
- Martinique, Trinidad
- Trinidad, Jamaica
- Trinidad, Martinique

- Which one of the following must be true about
*Freedom*'s schedule of voyages?*Freedom*makes a voyage to Guadeloupe either in week 1 or else in week 2.*Freedom*makes a voyage to Martinique either in week 2 or else in week 3.*Freedom*makes at most two voyages to Guadeloupe.*Freedom*makes at most two voyages to Jamaica.*Freedom*makes at most two voyages to Trinidad.

## Passage for questions 18 through 23

There are exactly three recycling centers in Rivertown: Center 1, Center 2, and Center 3. Exactly five kinds of material are recycled at these recycling centers: glass, newsprint, plastic, tin, and wood. Each recycling center recycles at least two but no more than three of these kinds of material. The following conditions must hold:

Any recycling center that recycles wood also recycles newsprint.

Every kind of material that Center 2 recycles is also recycled at Center 1.

Only one of the recycling centers recycles plastic, and that recycling center does not recycle glass.

- Which one of the following could be an accurate account of all the kinds of material recycled at each recycling center in Rivertown?
- Center 1: newsprint, plastic, wood; Center 2: newsprint, wood; Center 3: glass, tin, wood
- Center 1: glass, newsprint, tin; Center 2: glass, newsprint, tin; Center 3: newsprint, plastic, wood
- Center 1: glass, newsprint, wood; Center 2: glass, newsprint, tin; Center 3: plastic, tin
- Center 1: glass, plastic, tin; Center 2: glass, tin; Center 3: newsprint, wood
- Center 1: newsprint, plastic, wood; Center 2: newsprint, plastic, wood; Center 3: glass, newsprint, tin

- Which one of the following is a complete and accurate list of the recycling centers in Rivertown any one of which could recycle plastic?
- Center 1 only
- Center 3 only
- Center 1, Center 2
- Center 1, Center 3
- Center 1, Center 2, Center 3

- If Center 2 recycles three kinds of material, then which one of the following kinds of material must Center 3 recycle?
- glass
- newsprint
- plastic
- tin
- wood

- If each recycling center in Rivertown recycles exactly three kinds of material, then which one of the following could be true?
- Only Center 2 recycles glass.
- Only Center 3 recycles newsprint.
- Only Center 1 recycles plastic.
- Only Center 3 recycles tin.
- Only Center 1 recycles wood.

- If Center 3 recycles glass, then which one of the following kinds of material must Center 2 recycle?
- glass
- newsprint
- plastic
- tin
- wood

- If Center 1 is the only recycling center that recycles wood, then which one of the following could be a complete and accurate list of the kinds of material that one of the recycling centers recycles?
- plastic, tin
- newsprint, wood
- newsprint, tin
- glass, wood
- glass, tin

## STOP

*If you finish before time is called, you may check your work on this section only. Do not work on any other section in the test.*