# LSAT Logic Games : Determining sequence in linear games

## Example Questions

### Example Question #111 : Determining Sequence In Linear Games

A television network is determining the order of seven advertisements – E, F, G, H, I, J, K – on their evening broadcast. They are placed according to the amount that was paid for the advertisement slot and only the top five payers get placed into prime time, subject to the following conditions:

E is a higher payer than G.
F is a higher payer than H.
J is a higher payer than G, but a lower payer than I.
If F is not a higher payer than E, it is a lower payer than G.
K cannot be broadcast in prime time.

Which of the following could be true?

Explanation:

Going back to our two scenarios:

H
/
F --- E
\
G
/
I --- J

As K cannot be in prime time, it must be in either the sixth or seventh slots and either directly before or after G or H.

E
\
G -- F -- H
/
I --- J

For the same reasons as above, K must be immediately before or after H.

The only one that can occur is that H is aired fifth in the first scenario. The remainder are all impossible.

### Example Question #112 : Determining Sequence In Linear Games

A television network is determining the order of seven advertisements – E, F, G, H, I, J, K – on their evening broadcast. They are placed according to the amount that was paid for the advertisement slot and only the top five payers get placed into prime time, subject to the following conditions:

E is a higher payer than G.
F is a higher payer than H.
J is a higher payer than G, but a lower payer than I.
If F is not a higher payer than E, it is a lower payer than G.
K cannot be broadcast in prime time.

If F is the second advertisement aired, which of the following must be true?

Explanation:

F in the second slot can only occur in the aforementioned first scenario:

H
/
F --- E
\
G
/
I --- J

As K cannot be in prime time, it must be in either the sixth or seventh slots and either directly before or after G or H.

All of the statements do not necessarily have to be true except I airing first, as it is the only slot available to it should F go in the second slot.

### Example Question #111 : Determining Sequence In Linear Games

A television network is determining the order of seven advertisements – E, F, G, H, I, J, K – on their evening broadcast. They are placed according to the amount that was paid for the advertisement slot and only the top five payers get placed into prime time, subject to the following conditions:

E is a higher payer than G.
F is a higher payer than H.
J is a higher payer than G, but a lower payer than I.
If F is not a higher payer than E, it is a lower payer than G.
K cannot be broadcast in prime time.

Which of the following is a complete and accurate list of the advertisements that can be aired outside of prime time?

G, K, H, E

G, K, H, J

G, K, H

G, K

K

G, K, H

Explanation:

Looking at our two scenarios:

H
/
F --- E
\
G
/
I --- J

As K cannot be in prime time, it must be in either the sixth or seventh slots and either directly before or after G or H.

E
\
G -- F -- H
/
I --- J

For the same reasons as above, K must be immediately before or after H.

As K cannot be in prime time, it is has to be part of the list. In both scenario one and two, G and H are the only other advertisements that can be aired outside of prime time.

### Example Question #111 : Determining Sequence In Linear Games

A television network is determining the order of seven advertisements – E, F, G, H, I, J, K – on their evening broadcast. They are placed according to the amount that was paid for the advertisement slot and only the top five payers get placed into prime time, subject to the following conditions:

E is a higher payer than G.
F is a higher payer than H.
J is a higher payer than G, but a lower payer than I.
If F is not a higher payer than E, it is a lower payer than G.
K cannot be broadcast in prime time.

If the rule that K cannot be aired in prime time is replaced with a rule stating that K is aired before F, which one of the following must be false?

G is aired in prime time.

G is aired before K.

K is not aired in prime time.

K is aired before H.

J is not aired in prime time.

K is not aired in prime time.

Explanation:

Let us append the new condition to our scenarios:

H
/
K --- F --- E
\
G
/
I --- J

E
\
G --- K --- F -- H
/
I --- J

All of the statements can be true in one of the scenarios except the one that K is not aired in prime time, which is impossible, as it must always be in the first five.

### Example Question #115 : Determining Sequence In Linear Games

A company has seven job tasks that must be performed over the next seven months.  Each of the tasks will be performed at one of four locations:  Anchorage, Boston, Chicago, or Denver.  Each job location will be scheduled for one or more months.  Only one task is performed within a particular month.  The following restrictions apply:

Boston will not be a site for a job task in month 4.

Denver will be the site for a job task in month 7.

Chicago will be a job site for two of the seven months.

Anchorage must be a job site in a month that falls somewhere between the months that Chicago is a job site.

Anchorage must be a job site that immediately precedes any work done at the Boston site.

No city can be a job site for two or more consecutive months.

Which one of the following is an acceptable arrangement of job sites over the seven month period, with the seven months designated as Month 1 to Month 7?

Chicago, Denver, Anchorage, Boston, Chicago, Anchorage, Denver

Anchorage, Chicago, Denver, Chicago, Anchorage, Boston, Denver

Anchorage, Boston, Chicago, Denver, Anchorage, Chicago, Denver.

Chicago, Denver, Anchorage, Denver, Anchorage, Boston, Chicago

Boston, Chicago, Anchorage, Chicago, Anchorage, Boston, Denver

Anchorage, Boston, Chicago, Denver, Anchorage, Chicago, Denver.

Explanation:

Anchorage, Chicago, Denver, Chicago, Anchorage, Boston, Denver:  This sequence violates the requirement that Anchorage fall between the two Chicago months.

Boston, Chicago, Anchorage, Chicago, Anchorage, Boston, Denver:  This sequence violates the requirement that Anchorage precede Boston.

Chicago, Denver, Anchorage, Boston, Chicago, Anchorage, Denver:  Boston cannot be in Month 4.

Chicago, Denver, Anchorage, Denver, Anchorage, Boston, Chicago:  Denver must be in Month 7.

### Example Question #116 : Determining Sequence In Linear Games

A company has seven job tasks that must be performed over the next seven months.  Each of the tasks will be performed at one of four locations:  Anchorage, Boston, Chicago, or Denver.  Each job location will be scheduled for one or more months.  Only one task is performed within a particular month.  The following restrictions apply:

Boston will not be a site for a job task in month 4.

Denver will be the site for a job task in month 7.

Chicago will be a job site for two of the seven months.

Anchorage must be a job site in a month that falls somewhere between the months that Chicago is a job site.

Anchorage must be a job site that immediately precedes any work done at the Boston site.

No city can be a job site for two or more consecutive months.

If Anchorage is a job site for Month 1 and Boston is a job site for Month 5, which one of the following must be true?

Anchorage is the job site for Month 6

Denver is the job site for Month 2

Chicago is the job site for Month 3

Boston is the job site for Month 2

Chicago is the job site for Month 6.

Chicago is the job site for Month 6.

Explanation:

With Boston in the fifth slot, Anchorage must occupy the fourth slot (since Anchorage must precede Boston).  Chicago must occupy two slots, with Anchorage and Boston between those two "Chicago slots."  To accomplish that sequence, Chicago must be in slot 6.

### Example Question #117 : Determining Sequence In Linear Games

A company has seven job tasks that must be performed over the next seven months.  Each of the tasks will be performed at one of four locations:  Anchorage, Boston, Chicago, or Denver.  Each job location will be scheduled for one or more months.  Only one task is performed within a particular month.  The following restrictions apply:

Boston will not be a site for a job task in month 4.

Denver will be the site for a job task in month 7.

Chicago will be a job site for two of the seven months.

Anchorage must be a job site in a month that falls somewhere between the months that Chicago is a job site.

Anchorage must be a job site that immediately precedes any work done at the Boston site.

No city can be a job site for two or more consecutive months.

If Chicago is the job site for Month 3, which one of the following could be an accurate list of job sites for Months 4 and 5, respectively?

Denver, Chicago

Anchorage, Denver

Denver, Boston

Chicago, Denver

Boston, Anchorage

Anchorage, Denver

Explanation:

We can immediately eliminate the answer that specifies Boston in slot 4.  Chicago cannot be in slot 4 because no two consecutive slots can be occupied by the same city (Chicago is stipulated to be in slot 3).  Denver and Boston cannot occupy slots 4 and 5 because Anchorage must immediately precede Boston.  Finally, Denver and Chicago cannot occupy slots 4 and 5 because Anchorage must come between the two "Chicago slots."  So that leaves Anchorage and Denver as the viable cities for Months 4 and 5.

### Example Question #118 : Determining Sequence In Linear Games

A company has seven job tasks that must be performed over the next seven months.  Each of the tasks will be performed at one of four locations:  Anchorage, Boston, Chicago, or Denver.  Each job location will be scheduled for one or more months.  Only one task is performed within a particular month.  The following restrictions apply:

Boston will not be a site for a job task in month 4.

Denver will be the site for a job task in month 7.

Chicago will be a job site for two of the seven months.

Anchorage must be a job site in a month that falls somewhere between the months that Chicago is a job site.

Anchorage must be a job site that immediately precedes any work done at the Boston site.

No city can be a job site for two or more consecutive months.

Which one of the following must be true about the job sites?

Chicago is the job site either in Month 2 or else in Month 3

Boston is a job site, at most, for two of the seven months.

Anchorage is a job site, at most, for two of the seven months.

Denver is a job site, at most, for two of the seven months.

Anchorage is the job site either in Month 1 or else in Month 2

Boston is a job site, at most, for two of the seven months.

Explanation:

The key insight here is that Anchorage and Boston form an irrevocable block.  So, if Boston were to be a job site for three of the seven months, then six of the seven months would be occupied.  This would leave insufficient room for the other cities to be viable job sites.  Therefore, Boston could be a job site for, at most, only two of the seven months.

### Example Question #111 : Determining Sequence In Linear Games

A company has seven job tasks that must be performed over the next seven months.  Each of the tasks will be performed at one of four locations:  Anchorage, Boston, Chicago, or Denver.  Each job location will be scheduled for one or more months.  Only one task is performed within a particular month.  The following restrictions apply:

Boston will not be a site for a job task in month 4.

Denver will be the site for a job task in month 7.

Chicago will be a job site for two of the seven months.

Anchorage must be a job site in a month that falls somewhere between the months that Chicago is a job site.

Anchorage must be a job site that immediately precedes any work done at the Boston site.

No city can be a job site for two or more consecutive months.

If Anchorage is a job site for Month 1 and Denver is a job site for Month 2, which one of the following must be true?

Chicago is a job site for Month 5

Anchorage is a job site for Month 3

Chicago is a job site for Month 3

Chicago is a job site for Month 4

Anchorage is a job site for Month 5

Chicago is a job site for Month 3

Explanation:

Anchorage is in slot 1 and Denver is in slots 2 and 7.  Boston, therefore, must be in either slot 5 or 6 (4 is out by explicit rule, and 3 is out because Anchorage must precede Boston and slot 2 is already taken).  The key here is the fact that Chicago must take two slots, with Anchorage and Boston situated between those two "Chicago slots."  That necessitates Chicago being in slot 3 (i.e., Month 3).  (Note:  With Chicago in slot 3, Anchorage and Boston must occupy slots 4 and 5, respectively.)

### Example Question #112 : Determining Sequence In Linear Games

A company has seven job tasks that must be performed over the next seven months.  Each of the tasks will be performed at one of four locations:  Anchorage, Boston, Chicago, or Denver.  Each job location will be scheduled for one or more months.  Only one task is performed within a particular month.  The following restrictions apply:

Boston will not be a site for a job task in month 4.

Denver will be the site for a job task in month 7.

Chicago will be a job site for two of the seven months.

Anchorage must be a job site in a month that falls somewhere between the months that Chicago is a job site.

Anchorage must be a job site that immediately precedes any work done at the Boston site.

No city can be a job site for two or more consecutive months.

Which of the following CANNOT be true?

Chicago is a work site for Month 5.

Boston is a work site for Month 6

Boston is a work site for Month 3

Anchorage is a work site for Month 3

Denver is a work site for Month 6

Denver is a work site for Month 6

Explanation:

Denver cannot be a work site in Month 6 because it is already a work site for Month 7, and the rules stipulate that no city can be a work site in consecutive months.

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