# LSAT Logic Games : Determining sequence in linear games

## Example Questions

### Example Question #31 : Sequencing

A director at a playhouse is trying to select 7 shows for the upcoming season. The shows consist of some arrangement of comedies, tragedies, one-acts, and musicals. Each season features at least one performance from one of these genres. When selecting and arranging shows, the director must adhere to the following conditions:

1. The first performance must be either a comedy or a musical

2. One-acts can neither be the sixth nor the seventh show of the season

3. There must be at least two comedies

4. There cannot be two of any genre back to back

5. If the third show is not one-acts, then it must be a musical

If the second show is a musical and the sixth show is a tragedy, which of the following is a possible order for the season?

comedy, musical, one-acts, tragedy, one-acts, tragedy, comedy

comedy, musical, one-acts, tragedy, one-acts, tragedy, musical

comedy, musical, comedy, tragedy, comedy, tragedy, musical

comedy, musical, one-acts, comedy, musical, tragedy, one-acts

comedy, musical, comedy, tragedy, one-acts, tragedy, musical

comedy, musical, one-acts, tragedy, one-acts, tragedy, comedy

Explanation:

This is the only answer that satisfies all of the conditions. A musical is second and a tragedy is sixth. From here, we know from the first and fourth premise that a comedy must be first. Neither the sixth nor the seventh shows are one-acts. There are at least two comedies. No two genres appear back to back. Since the second show is a musical, we know from the fourth and fifth premise that it must be one-acts.

### Example Question #32 : Sequencing

A director at a playhouse is trying to select 7 shows for the upcoming season. The shows consist of some arrangement of comedies, tragedies, one-acts, and musicals. Each season features at least one performance from one of these genres. When selecting and arranging shows, the director must adhere to the following conditions:

1. The first performance must be either a comedy or a musical

2. One-acts can neither be the sixth nor the seventh show of the season

3. There must be at least two comedies

4. There cannot be two of any genre back to back

5. If the third show is not one-acts, then it must be a musical

If there are three musicals in this season, which of the following is a possible order?

comedy, musical, tragedy, musical, comedy, one-acts, musical

musical, comedy, musical, one-acts, tragedy, comedy, musical

musical, one-acts, tragedy, musical, one-acts, comedy, musical

None of these

musical, comedy, one-acts, musical, tragedy, tragedy, musical

musical, comedy, musical, one-acts, tragedy, comedy, musical

Explanation:

This is the only sequence that satisfies all of the conditions: the first performance is a musical, neither the sixth nor the seventh performances are one-acts, there are at least two comedies, there is not two of any genre back to back, and since the third show is not one-acts it is a musical.

### Example Question #33 : Sequencing

A director at a playhouse is trying to select 7 shows for the upcoming season. The shows consist of some arrangement of comedies, tragedies, one-acts, and musicals. Each season features at least one performance from one of these genres. When selecting and arranging shows, the director must adhere to the following conditions:

1. The first performance must be either a comedy or a musical

2. One-acts can neither be the sixth nor the seventh show of the season

3. There must be at least two comedies

4. There cannot be two of any genre back to back

5. If the third show is not one-acts, then it must be a musical

What can we NOT say about the tragedies in this season?

The earliest a tragedy may appear in the season is second.

It is possible to have more tragedies than one-acts in a season.

The maximum number of tragedies possible is 2.

The maximum number of tragedies possible is 3.

The latest a tragedy may appear in the season is seventh.

The maximum number of tragedies possible is 2.

Explanation:

To disprove this claim, all we have to do is think of one scenario in which it isn't true. One example is the following: comedy, tragedy, musical, one-acts, tragedy, comedy, tragedy. There are three tragedies and no premises are violated. Therefore, the maximum number of tragedies possible cannot be two.

### Example Question #34 : Sequencing

A director at a playhouse is trying to select 7 shows for the upcoming season. The shows consist of some arrangement of comedies, tragedies, one-acts, and musicals. Each season features at least one performance from one of these genres. When selecting and arranging shows, the director must adhere to the following conditions:

1. The first performance must be either a comedy or a musical

2. One-acts can neither be the sixth nor the seventh show of the season

3. There must be at least two comedies

4. There cannot be two of any genre back to back

5. If the third show is not one-acts, then it must be a musical

If the director decides every tragedy must be followed by a comedy, which of the following is NOT a possible order for the season?

musical, one-acts, musical, comedy, tragedy, comedy, musical

comedy, one-acts, musical, tragedy, comedy, tragedy, comedy

comedy, musical, one-acts, tragedy, comedy, musical, comedy

musical, tragedy, comedy, one-acts, musical, tragedy, comedy

musical, comedy, one-acts, comedy, one-acts, tragedy, comedy

musical, tragedy, comedy, one-acts, musical, tragedy, comedy

Explanation:

This answer violates the fifth premise because the third performance is neither one-acts nor a musical.

### Example Question #35 : Sequencing

A director at a playhouse is trying to select 7 shows for the upcoming season. The shows consist of some arrangement of comedies, tragedies, one-acts, and musicals. Each season features at least one performance from one of these genres. When selecting and arranging shows, the director must adhere to the following conditions:

1. The first performance must be either a comedy or a musical

2. One-acts can neither be the sixth nor the seventh show of the season

3. There must be at least two comedies

4. There cannot be two of any genre back to back

5. If the third show is not one-acts, then it must be a musical

Which of the following statements are true?

I. If the first show is a comedy, the last show cannot be a comedy

II. There can never be more one-acts than comedies

III. It's not possible to have a musical as the second show

II and III only

II only

I and II only

I and III only

I, II and III

II only

Explanation:

I is false because the first show being a comedy has no effect on the last show (for example, the order could be: comedy, one-acts, musical, tragedy, one-acts, musical, comedy). II is true because there is no possible situation in which there are more than two one-acts, and we know from premise three that there must be at least two comedies. III is false because as long as the first show is a comedy and the the third show is one-acts, no premises are violated.

### Example Question #36 : Sequencing

A 100-meter dash is held among 7 sprinters, each from a different country - Australia (A); Belgium (B); Canada (C); Denmark (D); Estonia (E); France (F); and Germany (G). Before the race each sprinter is assigned to 1 of 7  lanes at the track's starting line, sequentially numbered from the innermost lane (lane 1) to the outermost lane (lane 7), according to the following conditions:

• E must be assigned to lane 3.
• A cannot be assigned to lane 7.
• B and C must be assigned to sequentially numbered lanes.
• C must be assigned to a lane that is closer to the inside of the track than the lane assigned to D.
• A must be assigned to a lane that is closer to the outside of the track than the lane assigned to D.

Which one of the following could be an assignment of sprinter to the track lanes, from the innermost to the outermost lanes?

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

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

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

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

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

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

Explanation:

After applying all of the conditions, all possible sequences can be summarized as follows:

Only the correct answer is consistent with the above summary. All other choices violate at least one condition.

### Example Question #37 : Sequencing

A 100-meter dash is held among 7 sprinters, each from a different country - Australia (A); Belgium (B); Canada (C); Denmark (D); Estonia (E); France (F); and Germany (G). Before the race each sprinter is assigned to 1 of 7  lanes at the track's starting line, sequentially numbered from the innermost lane (lane 1) to the outermost lane (lane 7), according to the following conditions:

• E must be assigned to lane 3.
• A cannot be assigned to lane 7.
• B and C must be assigned to sequentially numbered lanes.
• C must be assigned to a lane that is closer to the inside of the track than the lane assigned to D.
• A must be assigned to a lane that is closer to the outside of the track than the lane assigned to D.

The lowest numbered lane to which A can be assigned is:

Lane 5

Lane 4

Lane 6

Lane 2

Lane 3

Lane 5

Explanation:

After applying all of the conditions, all possible sequences can be summarized as follows:

So, A can only be in lanes 5 or 6 and, thus, lane 5 is the lowest-numbered lane A to which A can be assigned.

### Example Question #38 : Sequencing

Sara must walk eight dogs (A, B, C, D, E, F, G, H) over an eight hour period of time. Sara can only walk one dog at a time and each walk lasts one hour. The following rules apply:

At least three dogs must be walked between E and G

A must be walked after B

B is the first dog walked if F is walked seventh

Dog G must be walked directly after C and directly before F

Which of the following could be true?

G is walked sixth and D is walked first

C is walked seventh and B is walked first

Dogs A, H, and C are walked consecutively

The first three dogs walked are dogs B, D, and A

F is walked seventh and A is walked second

Dogs A, H, and C are walked consecutively

Explanation:

Since at least three dogs must be walked between E and G, and since G can never be walked first or last, E can never be the fourth or fifth dog walked.  If it were, it would always be walked too close to G.  For the same reason, either E or G must be among the first three dogs walked.  Similarly, if F is seventh and A is second, G must be sixth and B first, allowing only two dogs to be walked between E ang G.  While they cannot be the first three or last three, A, H, and C can be walked consecutively.

### Example Question #39 : Sequencing

A 100-meter dash is held among 7 sprinters, each from a different country - Australia (A); Belgium (B); Canada (C); Denmark (D); Estonia (E); France (F); and Germany (G). Before the race each sprinter is assigned to 1 of 7  lanes at the track's starting line, sequentially numbered from the innermost lane (lane 1) to the outermost lane (lane 7), according to the following conditions:

• E must be assigned to lane 3.
• A cannot be assigned to lane 7.
• B and C must be assigned to sequentially numbered lanes.
• C must be assigned to a lane that is closer to the inside of the track than the lane assigned to D.
• A must be assigned to a lane that is closer to the outside of the track than the lane assigned to D.

If D is assigned to a higher-numbered lane than F, which one of the following must be true?

G is assigned to lane 7.

B is assigned to lane 2.

E and D are assigned to lanes such that there are at least 2 other sprinters between them.

C and E are assigned to consecutively-numbered lanes.

F and A are assigned to consecutively-numbered lanes.

G is assigned to lane 7.

Explanation:

After applying all of the conditions, all possible sequences can be summarized as follows:

The only situation where F comes before D is when F and D are assigned to lanes 4 and 5, respectively. Since (i) lane 7 can only be F or G and (ii) F is in lane 4, G must be in lane 7.

### Example Question #31 : Sequencing

A 100-meter dash is held among 7 sprinters, each from a different country - Australia (A); Belgium (B); Canada (C); Denmark (D); Estonia (E); France (F); and Germany (G). Before the race each sprinter is assigned to 1 of 7  lanes at the track's starting line, sequentially numbered from the innermost lane (lane 1) to the outermost lane (lane 7), according to the following conditions:

• E must be assigned to lane 3.
• A cannot be assigned to lane 7.
• B and C must be assigned to sequentially numbered lanes.
• C must be assigned to a lane that is closer to the inside of the track than the lane assigned to D.
• A must be assigned to a lane that is closer to the outside of the track than the lane assigned to D.

A complete and accurate list of the sprinters who can be assigned to lane 6 is:

F, G

A, D

A

A, F, G

A, B, C, F, G