# LSAT Logic Games : Determining sequence in linear games

## Example Questions

### Example Question #71 : Determining Sequence In Linear Games

A storage facility for race cars has six garages, positioned side-by-side and numbered sequentially, from left to right, 1 through 6. Each garage stores a specific car and only that car. The cars have names given to them by their owners: Fury, Grand Slam, Lambast, Moxie, Piston, and Titrus.

The following conditions apply:

The garage storing Grand Slam is numbered higher than the garage holding Lambast.

The garage storing Lambast is numbered higher than the garage storing Titrus.

Piston is stored somewhere to the right of where Fury is stored.

Titrus is stored next to Piston.

Which one of the following must be false?

Piston is next to Lambast

Grand Slam is next to Moxie

Titrus is next to Fury

Lambast is next to Fury

Fury is next to Moxie

Lambast is next to Fury

Explanation:

Lambast cannot be next to Fury because Fury must precede both Titrus and Piston, and Titrus and Piston must precede Lambast.  That is to say, Titrus and Piston are situated between Fury and Lambast.

### Example Question #72 : Determining Sequence In Linear Games

A storage facility for race cars has six garages, positioned side-by-side and numbered sequentially, from left to right, 1 through 6. Each garage stores a specific car and only that car. The cars have names given to them by their owners: Fury, Grand Slam, Lambast, Moxie, Piston, and Titrus.

The following conditions apply:

The garage storing Grand Slam is numbered higher than the garage holding Lambast.

The garage storing Lambast is numbered higher than the garage storing Titrus.

Piston is stored somewhere to the right of where Fury is stored.

Titrus is stored next to Piston.

Which one of the following could be the garage storing Lambast?

Garage 2

Garage 6

Garage 5

Garage 3

Garage 1

Garage 5

Explanation:

Lambast cannot occupy garages 1, 2, and 3 because Lambast must be preceded by Fury, Titrus, and Piston.  Lambast cannot occupy garage 6 (the last garage) because Grand Slam must be in a garage after Lambast.  Thus, Lambast must be in garage 4 or 5, so the credited response here is garage 5.

### Example Question #73 : Determining Sequence In Linear Games

A tour guide will bring a group of tourists to seven sites—the sites are designated as A, B, C, D, E, F, and G. The tour will span the course of three days, Friday, Saturday, and Sunday. The first two sites will be visited on Friday. The next three sites will be visited on Saturday. The final two sites will be visited on Sunday.

The tour guide will organize the site visits according to the following rules:

Site A must be visited on Sunday.

Since site B is closed on Friday, it cannot be visited on that day.

Site C must be visited after site B is visited and before site D is visited.

Which one of the following could be the order in which the tour guide organizes the site visits?

F, G, B, C, E, D, A

E, C, G, B, D, F, A

G, F, B, A, C, E, D

B, F, C, D, E, A, G

F, G, D, E, B, C, A

F, G, B, C, E, D, A

Explanation:

The following can be eliminated:

B, F, C, D, E, A, G:  This arrangement violates the condition that B cannot be visited on Friday.

E, C, G, B, D, F, A:  This arrangement violates the condition that B must be visited before C.

F, G, D, E, B, C, A:  This arrangement violates the condition that D must follow B and C.

G, F, B, A, C, E, D:  This arrangement violates the condition that A must be visited on Sunday, which would be one of the last two slots.

So, by process of elimination, the following can be discerned as the correct answer:  F, G, B, C, E, D, A.  This arrangement violates none of the conditions.

### Example Question #74 : Determining Sequence In Linear Games

A tour guide will bring a group of tourists to seven sites—the sites are designated as A, B, C, D, E, F, and G. The tour will span the course of three days, Friday, Saturday, and Sunday. The first two sites will be visited on Friday. The next three sites will be visited on Saturday. The final two sites will be visited on Sunday.

The tour guide will organize the site visits according to the following rules:

Site A must be visited on Sunday.

Since site B is closed on Friday, it cannot be visited on that day.

Site C must be visited after site B is visited and before site D is visited.

Which one of the following pair of site visits is the tour guide precluded from adopting, in either order?

A, G

A, B

A, D

A, F

D, G

A, B

Explanation:

Site A must be visited on Sunday, by virtue of an explicit condition.  Since Site B must precede Sites C and D, it cannot be visited on Sunday.  Therefore, it cannot be paired with A without violating the sequence "B ... C ... D."

### Example Question #75 : Determining Sequence In Linear Games

A boy band (composed of Henry, Ralph, and Viktor) will play one song a day in a six-day music festival from Sunday to Friday. They have 10 total songs and will play a different song each day.  Two songs will be chosen from among the three songs written by Henry – 1, 2, and 3: two from among the four songs written by Ralph – 4, 5, 6, and 7; and two from the songs written by Viktor – 8, 9, and 10.  The following rules also apply:

1.   If song 5 is selected, then song 2 is also selected.
2.   If song 4 is selected, then neither songs 2 nor 6 can be selected.
3.   If song 8 is selected, then neither songs 10 nor 7 can be selected.
4.   If both songs 2 and 6 are selected, then song 2 is played at some time before song 6.
5.   Song 8 cannot be played on Thursday unless one of Ralph’s songs is played on Sunday.

If 2, 6, and 9 are the first three songs to be played, not necessarily in the order given, which one song CANNOT be played on Thursday?

Song 5

Song 7

Song 3

Song 8

Song 1

Song 8

Explanation:

The question asks which song cannot be played on Thursday, the fifth day.  Rule 5 explicitly states that song 8 cannot be placed on the fifth day, Thursday, unless one of Ralph’s songs: 4, 5, 6, and 7 is played on Sunday.  If 2, 6, and 9 are the first three songs to be played, song 6 cannot be played first without violating Rule 4.  Thus, either a Viktor song (song 9) or a Henry song (song 2) must be played on Sunday.  Therefore, song 8 cannot be played on Thursday (Rule 5) as one of Ralph’s songs cannot be played on Sunday under the circumstances.

### Example Question #76 : Determining Sequence In Linear Games

Three basketball players: Penny, Xerxes, and Lee, participate in a slam dunk showcase where six total dunks are executed collectively by the players.  The following rules apply:

1.   Xerxes executes exactly two dunks, at least one of which must be the first or the second dunk.
1.   Penny executes exactly three dunks, but none consecutively
1.   Lee does not execute a dunk immediately prior to or after Xerxes executes a dunk.

Which of the following cannot be true?

Penny executes the first dunk

Xerxes executes the fourth dunk

Lee executes th sixth dunk

Xerxes executes the sixth dunk

Lee executes the first dunk

Lee executes the first dunk

Explanation:

Using the rules, Penny executes three dunks, but none consecutively.  If Penny executes the first dunk, then Xerxes must execute the second dunk (Rule 1).  Then, if Penny executes the third dunk, then his last dunk must be the fifth dunk to avoid consecutive dunks by Xerxes and Lee (a violation of Rule 3).  Xerxes and Lee will split the fourth and sixth dunks in either order. Therefore the answer choices for “Penny executes the first dunk”, “Xerxes executes the fourth dunk”, “Xerxes executes the sixth dunk”, and “Lee executes the sixth dunk” can be eliminated. This leaves us with the correct choice, “Lee executes the first dunk”, which cannot be true.

### Example Question #77 : Determining Sequence In Linear Games

Three basketball players: Penny, Xerxes, and Lee, participate in a slam dunk showcase where six total dunks are executed collectively by the players.  The following rules apply:

1.   Xerxes executes exactly two dunks, at least one of which must be the first or the second dunk.
2.   Penny executes exactly three dunks, but none consecutively
3.   Lee does not execute a dunk immediately prior to or after Xerxes executes a dunk.

Which of the following could be an acceptable order, from first to sixth, of the players dunking in the showcase?

Xerxes, Penny, Xerxes, Penny, Lee, Penny

Penny, Xerxes, Penny, Lee, Xerxes, Penny

Xerxes, Penny, Lee, Penny, Penny, Xerxes

Xerxes, Penny, Penny, Lee, Penny, Xerxes

Lee, Penny, Xerxes, Penny, Xerxes, Penny

Xerxes, Penny, Xerxes, Penny, Lee, Penny

Explanation:

Applying the rules eliminates the incorrect answer choices.  Rule 2 (Penny cannot execute consecutive dunks) eliminates answer choices for “Xerxes, Penny, Penny, Lee, Penny, and Xerxes” and “ “Xerxes, Penny, Lee, Penny, Penny, Xerxes.” Rule 2 (Xerxes must execute either the first or the second dunk) eliminates answer choice, “Lee, Penny, Xerxes, Penny, Xerxes, Penny.”  Rule 3 (Lee does not execute a dunk immediately prior to a Xerxes dunk) eliminates answer choice, “Penny, Xerxes, Penny, Lee, Xerxes, Penny.”  This leaves answer choice, “Xerxes, Penny, Xerxes, Penny, Lee, Penny”, the correct choice.

### Example Question #71 : Lsat Logic Games

Madeline, Natalie, Rachel, Stacey, Ursula, and Valerie are six kindergarten students on a picnic with their teacher. The teacher is seated in the center with the children seated on six separate cushions arranged in a clock-wise circular fashion around their teacher.  The cushions are numbered 1 through 6 with cushion 1 at the 12 o’clock position, cushion 2 at the 2 o’clock position, cushion 3 at the 4 o’clock position, cushion 4 is at the 6 o’clock position, cushion 5 at the 8 o’clock position, and cushion 6 at the 10 o’clock position.  The following rules apply:

1.   “Adjacent” cushions are those cushions that are consecutively numbered. Cushions 1 and 6 are also considered adjacent.
1.   Stacey and Rachel are not sitting in adjacent cushions
1.   Natalie is sitting in cushion 1 or cushion 4
1.   Ursula and Stacey are sitting in adjacent cushions on either the left of right side of the clock-wise circle (i.e. cushions 2 and 3, or cushions  5 and 6)

If Valerie is sitting in cushion 4, then which of the following pairs must be sitting in adjacent seats?

Natalie and Rachel

Natalie and Stacey

Stacey and Valerie

Explanation:

Draw the seating arrangement as described in the question stem. Since Valerie is at cushion 4, this means that Natalie is seated in cushion 1 (the question stem establishes that Natalie is in either cushion 1 or 4).  It is also established that Ursula and Stacey are seated on either the left or right side of the clock-wise circle (for the purposes of this question, we do not have to establish which side).  This leaves two people, Madeline and Rachel, who will also be on either the left or right side of the clock-wise circle.  Therefore, this is the pair that must be seated next to each other.  All of the other pairs could be adjacent, but do not need to be.  Therefore, the answer choice “Madeline and Rachel”, is the correct choice.

### Example Question #79 : Determining Sequence In Linear Games

Madeline, Natalie, Rachel, Stacey, Ursula, and Valerie are six kindergarten students on a picnic with their teacher. The teacher is seated in the center with the children seated on six separate cushions arranged in a clock-wise circular fashion around their teacher.  The cushions are numbered 1 through 6 with cushion 1 at the 12 o’clock position, cushion 2 at the 2 o’clock position, cushion 3 at the 4 o’clock position, cushion 4 is at the 6 o’clock position, cushion 5 at the 8 o’clock position, and cushion 6 at the 10 o’clock position.  The following rules apply:

1.   “Adjacent” cushions are those cushions that are consecutively numbered. Cushions 1 and 6 are also considered adjacent.
2.   Stacey and Rachel are not sitting in adjacent cushions
3.   Natalie is sitting in cushion 1 or cushion 4
4.   Ursula and Stacey are sitting in adjacent cushions on either the left of right side of the clock-wise circle (i.e. cushions 2 and 3, or cushions  5 and 6)

The seating arrangement of the six children could be which of the following?

Rachel, Valerie, Madeline, Natalie, Ursula, Stacey

Natalie, Valerie, Ursula, Stacey, Madeline, Rachel

Stacey, Ursula, Valerie, Natalie, Madeline, Rachel

Rachel, Madeline, Natalie, Stacey, Ursula, Valerie

Valerie, Stacey, Ursula, Natalie, Madeline, Rachel

Valerie, Stacey, Ursula, Natalie, Madeline, Rachel

Explanation:

Draw a diagram.  The cushions are arranged in a clock-like fashion with cushions 1 and 4 at opposite ends, the 12 o’clock and 6 o’clock, respectively. Sketch cushions 2 and 3 on the right side of the clock and 5 and 6 on the left side of the clock as described in the question stem.

### Example Question #80 : Determining Sequence In Linear Games

Madeline, Natalie, Rachel, Stacey, Ursula, and Valerie are six kindergarten students on a picnic with their teacher.  The teacher is seated in the center with the children seated on six separate cushions arranged in a clock-wise circular fashion around their teacher.  The cushions are numbered 1 through 6 with cushion 1 at the 12 o’clock position, cushion 2 at the 2 o’clock position, cushion 3 at the 4 o’clock position, cushion 4 is at the 6 o’clock position, cushion 5 at the 8 o’clock position, and cushion 6 at the 10 o’clock position. The following rules apply:

1. “Adjacent” cushions are those cushions that are consecutively numbered.  Cushions 1 and 6 are also considered adjacent.

2. Stacey and Rachel are not sitting in adjacent cushions

3. Natalie is sitting in cushion 1 or cushion 4

4. Ursula and Stacey are sitting in adjacent cushions on either the left of right side of the clock-wise circle (i.e. cushions 2 and 3, or cushions  5 and 6)

If Rachel is sitting in cushion 1, then which child must be sitting adjacent to her?

Natalie

Ursula

Stacey

Valerie