LSAT Logic Games : Determining sequence in linear games

Study concepts, example questions & explanations for LSAT Logic Games

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Example Questions

Example Question #101 : Determining Sequence In Linear Games

A week-long classical music concert will be held in the city square, from Sunday to Saturday, with a different solo violinist appearing each day.  The violinists are Alfred, Beatrice, Claire, Daniel, Ellen, Flavio, and Gwen.  These solo violinists must play at the concert in accordance with the following conditions:

Alfred plays on Tuesday or Thursday.

Flavio cannot play on Wednesday or Friday.

If Daniel plays on Sunday, then Claire plays on Monday.

If Ellen plays on Wednesday, then Flavio plays on Thursday.

Beatrice must play on the day after the day that Claire plays.

If Ellen plays on Wednesday and Gwen plays on a day after the day that Daniel plays, which one of the following must be true?

Possible Answers:

Gwen plays on Monday.

Daniel plays on Sunday.

Daniel plays on Monday.

Gwen plays on Friday.

Daniel plays on Friday.

Correct answer:

Daniel plays on Friday.

Explanation:

With Ellen occupying the Wednesday slot, Flavio must occupy the Thursday slot.  That means Alfred takes Tuesday for his day to play (since he can only play on Tuesday or Thursday, and Thursday is already taken).  Daniel cannot play on Sunday or Monday because there are not enough slots to fit Claire and Beatrice, who must play back-to-back.  That forces Daniel into the Friday slot.  (Saturday is out because Gwen must follow Daniel.)

Example Question #101 : Determining Sequence In Linear Games

A week-long classical music concert will be held in the city square, from Sunday to Saturday, with a different solo violinist appearing each day.  The violinists are Alfred, Beatrice, Claire, Daniel, Ellen, Flavio, and Gwen.  These solo violinists must play at the concert in accordance with the following conditions:

Alfred plays on Tuesday or Thursday.

Flavio cannot play on Wednesday or Friday.

If Daniel plays on Sunday, then Claire plays on Monday.

If Ellen plays on Wednesday, then Flavio plays on Thursday.

Beatrice must play on the day after the day that Claire plays.

If the day on which Beatrice plays and the day on which Flavio plays both come at some time before the day on which Alfred plays, which one of the following is a violinist who could do the solo on Tuesday?

Possible Answers:

Alfred

Daniel

Gwen

Beatrice

Ellen

Correct answer:

Beatrice

Explanation:

The new conditions imposed by this question compel Alfred to play on Thursday.  He could not play on Tuesday because the new rules have Beatrice and Flavio playing before Alfred, which also means that Claire must also play before Alfred (Beatrice must play on the day after Claire plays).  So there aren't enough slots to fit those three violinists if Alfred plays on Tuesday.  Furthermore, all this tells us is that Beatrice, Claire, and Flavio must play before Thursday, and all three of them potentially could play on Tuesday.  Of those three, the answer choices only specify Beatrice as a Tuesday player.  So that is the credited response.

Example Question #103 : Determining Sequence In Linear Games

A week-long classical music concert will be held in the city square, from Sunday to Saturday, with a different solo violinist appearing each day.  The violinists are Alfred, Beatrice, Claire, Daniel, Ellen, Flavio, and Gwen.  These solo violinists must play at the concert in accordance with the following conditions:

Alfred plays on Tuesday or Thursday.

Flavio cannot play on Wednesday or Friday.

If Daniel plays on Sunday, then Claire plays on Monday.

If Ellen plays on Wednesday, then Flavio plays on Thursday.

Beatrice must play on the day after the day that Claire plays.

If Claire plays on Monday, which one of the following is a complete and accurate list of soloists any of whom could be the solo violinist for Wednesday?

Possible Answers:

Ellen

Ellen, Gwen

Daniel, Ellen, Gwen

Gwen

Daniel, Gwen

Correct answer:

Daniel, Gwen

Explanation:

This problem requires you to eliminate those who cannot be in the Wednesday slot.  With Claire in the Monday slot, Beatrice takes Tuesday, thus leaving Thursday for Alfred.  With Alfred in the Thursday slot, Ellen cannot play Wednesday, since the rules require that if she did, Flavio would have to play on Thursday (but Thursday is already taken by Alfred). So that eliminates five soloists as viable violinists for Wednesday, leaving only Daniel and Gwen.

Example Question #104 : Determining Sequence In Linear Games

A week-long classical music concert will be held in the city square, from Sunday to Saturday, with a different solo violinist appearing each day.  The violinists are Alfred, Beatrice, Claire, Daniel, Ellen, Flavio, and Gwen.  These solo violinists must play at the concert in accordance with the following conditions:

Alfred plays on Tuesday or Thursday.

Flavio cannot play on Wednesday or Friday.

If Daniel plays on Sunday, then Claire plays on Monday.

If Ellen plays on Wednesday, then Flavio plays on Thursday.

Beatrice must play on the day after the day that Claire plays.

If Claire plays on the day after Ellen plays, and if Alfred plays on the day after Flavio plays, then Daniel must play on:

Possible Answers:

Tuesday

Wednesday

Monday

Thursday

Sunday

Correct answer:

Wednesday

Explanation:

The added conditions imposed by this question create a block of three:  Ellen--Claire--Beatrice.  It also creates a block with Flavio and Alfred.  Since Alfred can only play on Tuesday or Thursday, we must consider whether either of those days are precluded---and indeed we find that Alfred cannot play on Thursday because that would force Flavio into a Wednesday slot, which the rules don't permit.  So with Alfred in the Tuesday slot, Flavio must take the Monday slot to satisfy the new condition imposed by this particular question.  Now we can deduce that Ellen, Claire and Beatrice must occupy the last three slots because they are a block of three and that is the only place they can fit.  We're left with Daniel and Gwen.  Daniel cannot play on Sunday, because if he did, the rules require Claire to play on Monday, but Monday is already taken by Flavio.  So Daniel can only play on Wednesday.

Example Question #105 : Determining Sequence In Linear Games

A pet store owner is placing seven dogs in the store front.  The dogs are seven different breeds: bulldog, doberman, lab, maltise, pug, rottweiler, and terrier. All seven breeds are placed in a line in the store front.  The following conditions apply:

The buldog must be immediately before the terrier

The terrier cannot be first or last

There must be at least three dogs before the lab

The pug must be after the lab

There must be exactly one dog between the doberman and the pug

Which of the following could be the order of the dogs in the store front?

Possible Answers:

Maltise, bulldog, terrier, lab, doberman, pug, rottweiler

Bulldog, maltise, terrier, doberman, lab, pug, rottweiler

Rottweiler, bulldog, terrier, pug, lab, doberman, maltise

Rottweiler, maltise, doberman, lab, pug, bulldog, terrier

Maltise, bulldog, terrier, doberman, lab, pug, rottweiler

Correct answer:

Maltise, bulldog, terrier, doberman, lab, pug, rottweiler

Explanation:

Each incorrect answer violates one or more of the conditions.  Carefully apply the rules to eliminate the incorrect answer choices.

Example Question #106 : Determining Sequence In Linear Games

Exactly seven toy animals—bear, cat, dog, frog, lion, monkey, penguin—are placed on seven display shelves in a toy store window, exactly one toy animal to each shelf. The shelves are arranged in a single-file line along the window, labeled 1 to 7. The arrangement of toy animals to shelves must meet the following conditions:

            The frog is placed on a lower-numbered shelf than the dog.

            The monkey is placed on the shelf numbered one lower than the shelf on which the bear is placed.

            The penguin is placed on shelf 1 or 7.

            The lion is placed on shelf 4.

Which one of the following is an acceptable placement of toy animals, in order from shelf 1 to 7?

Possible Answers:

frog, cat, dog, lion, monkey, bear, penguin

frog, dog, cat, lion, penguin, monkey, bear

frog, monkey, cat, lion, bear, dog, penguin

penguin, monkey, bear, lion, dog, frog, cat

penguin, cat, lion, monkey, bear, frog, dog

Correct answer:

frog, cat, dog, lion, monkey, bear, penguin

Explanation:

You can eliminate wrong answers by checking each rule against the possible answers.

From the fourth global rule, the lion must be on the fourth shelf, allowing you to eliminate the sequence that lists the lion third.

From the third global rule, the penguin must be on the first or seventh shelf, allowing you to eliminate the sequence that lists the penguin fifth.

From the first global rule, the frog must come before the dog, allowing you to eliminate the sequence that lists the dog just before the frog.

From the second global rule, the monkey must be exactly before the bear, allowing you to eliminate the sequence that puts the cat and lion between them.

This leaves you with the correct answer, which conforms to all rules: frog, cat, dog, lion, monkey, bear, penguin.

Example Question #107 : Determining Sequence In Linear Games

Exactly seven toy animals—bear, cat, dog, frog, lion, monkey, penguin—are placed on seven display shelves in a toy store window, exactly one toy animal to each shelf. The shelves are arranged in a single-file line along the window, labeled 1 to 7. The arrangement of toy animals to shelves must meet the following conditions:

            The frog is placed on a lower-numbered shelf than the dog.

            The monkey is placed on the shelf numbered one lower than the shelf on which the bear is placed.

            The penguin is placed on shelf 1 or 7.

            The lion is placed on shelf 4.

If the bear is placed on the shelf numbered one less than the shelf on which the frog is placed, then which of the following must be true?

Possible Answers:

The cat is placed on shelf 5.

The monkey is placed on shelf 6.

The bear is placed on shelf 5.

The penguin is placed on shelf 1.

The frog is placed on shelf 3.

Correct answer:

The frog is placed on shelf 3.

Explanation:

Here you are looking for the answer choice that is always necessarily true.

Based on the global rule, the monkey must always immediately precede the bear. This question adds that the bear must immediately precede the frog, creating a monkey-bear-frog sequence. This sequence must also come before the dog, as the first global rule states the frog must come before the dog.

With the lion starting on shelf 4, the monkey-bear-frog sequence must take up shelves 1-2-3 so that the dog can go after it. This also means the penguin must go on shelf 7, since it cannot go on shelf 1:

monkey, bear, frog, lion, __, __, penguin

For the empty shelves 6 and 7, either shelf can hold the dog or the cat.

The bear will never be on shelf 5, so you can eliminate that answer. The monkey will never be on shelf 6, so you can eliminate that answer. The penguin will never be on shelf 1, so you can eliminate that answer.

The cat can sometimes be on shelf 5, but it can also be on shelf 6, so you can eliminate that answer - it is not always true.

The frog will always be on shelf 3, so that is your correct answer.

Example Question #108 : Determining Sequence In Linear Games

Exactly seven toy animals—bear, cat, dog, frog, lion, monkey, penguin—are placed on seven display shelves in a toy store window, exactly one toy animal to each shelf. The shelves are arranged in a single-file line along the window, labeled 1 to 7. The arrangement of toy animals to shelves must meet the following conditions:

            The frog is placed on a lower-numbered shelf than the dog.

            The monkey is placed on the shelf numbered one lower than the shelf on which the bear is placed.

            The penguin is placed on shelf 1 or 7.

            The lion is placed on shelf 4.

If the monkey is placed on shelf 1, which one of the following could be true?

Possible Answers:

The frog is placed on a shelf numbered one lower than the shelf on which the penguin is placed.

The frog is placed on a shelf numbered one lower than the shelf on which the cat is placed.

The bear is placed on a shelf numbered one lower than the shelf on which the dog is placed.

The cat is placed on a shelf numbered one lower than the shelf on which the bear is placed.

The bear is placed on a shelf numbered one lower than the shelf on which the cat is placed.

Correct answer:

The bear is placed on a shelf numbered one lower than the shelf on which the cat is placed.

Explanation:

Here we are looking for an outcome that could possibly happen. If you find an option that leads to an allowable outcome, that is the correct answer.

If the monkey is on shelf 1, that means the bear is on shelf 2, since it must immediately follow. The lion is always on shelf 4. The penguin must go on shelf 7, since shelf 1 is taken:

monkey, bear, __, lion, __, __, penguin

You have the frog, dog, and cat remaining. There are a couple of possible arrangements; you must remember that the frog must always go somewhere before the dog.

The cat can never go one lower than the bear, because the monkey is already one lower than the bear, so you can eliminate that answer.

The bear can never go one lower than the dog, because this would keep the frog from going before the dog, so you can eliminate that answer.

The frog can never go one lower the cat, because this would have to happen on shelves 5-6, leaving no way for the frog to stay ahead of the dog, so you can eliminate that answer.

The frog can never go one lower than the penguin, because this would keep the frog from staying ahead of the dog, so you can eliminate that answer.

The bear can go one lower than the cat, by completing the sequence as such:

monkey, bear, cat, lion, frog, dog, penguin

This, then, is your correct answer: The bear is placed on a shelf numbered one lower than the shelf on which the cat is placed.

Example Question #109 : 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 an accurate list of the order in which the advertisements air?

Possible Answers:

E, G, I, J, F, H, K

F, H, E, I, K, J, G

E, G, F, I, J, H, K

F, H, E, I, J, K, G

I, J, G, E, F, K, H

Correct answer:

F, H, E, I, J, K, G

Explanation:

The incorrect answers all violate at least one of the stated conditions:

(I, J, G, E, F, K, H): E must be a higher payer than G.

(E, G, I, J, F, H, K): J must be a higher payer than G.

(E, G, F, I, J, H, K): G must be a lower payer than J.

(F, H, E, I, K, J, G): K cannot be in prime time.

The correct answer satisfies all of the stated conditions.

Example Question #110 : 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 H is the last advertisement aired, which of the following must be false?

Possible Answers:

K is the advertisement aired sixth.

J is the advertisement aired third.

E is the advertisement aired first.

I is the advertisement aired fifth.

G is the advertisement aired fourth.

Correct answer:

I is the advertisement aired fifth.

Explanation:

Using the fourth condition that changes F's position as a basis, we can make 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.

H can be last in either scenario and all the statements can occur in one of the scenario except the statement that I is aired fifth, which is impossible.

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