LSAT Logic Games : LSAT Logic Games

Study concepts, example questions & explanations for LSAT Logic Games

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Example Questions

Example Question #131 : Linear Games

Over the course of four consecutive weeks, each one of seven car models—M, N, P, Q, R, V, and Y—will be put on sale at a discounted price. A different pair of car models will be put on sale each week. Exactly one of these car models will be put on sale twice. The car models will be put on sale according to the following guidelines:

For any week in which Q is put on sale, N must be put on sale during the immediately preceding week.

M is not put on sale during a given week unless either Q or V is also put on sale in that same week.

The car model put on sale twice is put on sale during week 4, but it is not put on sale during week 3.

V is put on sale during week 3.

P is put on sale during one of the first two weeks.

Which one of the following is a car model that could be put on sale during any of the four weeks?

Possible Answers:

V

Y

Q

P

N

Correct answer:

Y

Explanation:

You can quickly eliminate V as a possible answer, because since V must go in week 3 - and the car model that goes in week 3 cannot be put on sale during a second week - it goes on sale during week 3 and only during week 3.

You can eliminate N, because it can never be put on sale during week 2. If it was put on sale during week 2, that would force Q into week 3 with V. This would leave nowhere for M to pair up with either Q or V. So N cannot go in any of the four weeks.

You can eliminate Q, because it can never go on sale during week 1. If it was in week 1, you cannot meet the requirement that N be put on sale during the week preceding Q.

You can eliminate P, because it can never go on sale during week 3. If it was in week 3, that means it cannot be repeated in any of the other weeks; however, the final global rule tells us it must be put on sale during either week 1 or 2. So P cannot go in any of the four weeks.

The correct answer is Y. You can draw up hypothetical outcomes to prove that it can in fact fit into any of the four weeks.

Example Question #132 : Linear Games

Over the course of four consecutive weeks, each one of seven car models—M, N, P, Q, R, V, and Y—will be put on sale at a discounted price. A different pair of car models will be put on sale each week. Exactly one of these car models will be put on sale twice. The car models will be put on sale according to the following guidelines:

For any week in which Q is put on sale, N must be put on sale during the immediately preceding week.

M is not put on sale during a given week unless either Q or V is also put on sale in that same week.

The car model put on sale twice is put on sale during week 4, but it is not put on sale during week 3.

V is put on sale during week 3.

P is put on sale during one of the first two weeks.

If Y is put on sale twice, which one of the following is a car model that must be put on sale during one of the weeks in which Y is put on sale?

Possible Answers:

Q

M

N

R

P

Correct answer:

R

Explanation:

To start this problem off, you'll want to fill in as many of the spots as you can deduce.

You know that V must go on sale during week 3. Since Y is going to be put on sale twice, you know one of those weeks must be week 4, based off of the third global rule.

Week 1: __, __; Week 2: __, __; Week 3: V, __; Week 4: Y, __

Next, you can turn to the N-Q order that you will need to create, based off of the first global rule. This sequence cannot go during weeks 3 and 4, because you will not be able to repeat Q or V to meet the requirement of one of those two needing to pair with M. This sequence cannot go during weeks 2 and 3, because again V and Q will unable to be repeated (since both are in week 3) to meet the requirement of one of those two needing to pair with M.

This means N must go in week 1 and Q must go in week 2:

Week 1: N, __; Week 2: Q, __; Week 3: V, __; Week 4: Y, __

For the two open spots in weeks 1 and 2, one must be used for the second apperance of Y and the other must be used for P, to meet the final global rule. This tells you that N and Q could be put on sale during the same week as Y, but it is not a must outcome - it is not necessarily always true. So N and Q are incorrect answers. We also see that there is no way for P to be put on sale during the same week as Y, so it is incorrect.

No matter where you arrange Y and P between weeks 1 and 2, that means M must go in week 3, so that it can be paired with V (M must be paired with either Q or V). This leaves only one possible car model that can go on sale during week 4: R. That is your correct answer. In every single possible outcome, R will always go on sale with Y.

Example Question #131 : Determining Sequence In Linear Games

A physician will be seeing on consecutive days nine patients with a particular kind of skin disorder:  Ben, Claire, Drake, Ella, Flo, Guy, Hal, Ilene, and Jen.  With the exception of the first two conditions listed below relating to Flo, Ilene, Claire, and Guy, only one patient with this skin disorder sees the physician on a particular day.

Flo and Ilene see the physician on the same day as each other and no other patient with this skin disorder sees the physician on that day.

Claire and Guy see the physician on the same day as each other and no other patient with this skin disorder sees the physician on that day.

The other conditions that apply are as follows:

Ella will be seen before Ben.

Hal will be seen before Drake.

Drake will be seen after Ilene but before Ella.

Guy will be seen after Jen and Ben.

Ben will be seen before Jen.

If Ella will be seen on a Tuesday, what is the earliest day on which Guy can be seen by the physician?

Possible Answers:

Sunday

Friday

Thursday

Wednesday

Saturday

Correct answer:

Friday

Explanation:

This question calls upon you to attach a day of the week to the sequence.  So, if E is attached to Tuesday, then Guy will be attached to a day that is three days later.  This is so because GC (Guy and Claire together) are three slots over from E, and Friday is three days past Tuesday.  So Friday is the answer.

Example Question #133 : Sequencing

Six fast-food restaurants at a food court are assigned to numbered lots---1 through 6---that are arranged in that order (i.e., lot 1 is on the far left and lot 6 is on the far right).  The restaurants are A, B, C, D, E, and F.  The following arrangement characterizes how these restaurants are situated in the food court:

A and B have one restaurant between them, which is to say, they are assigned to lots that are separated from each other by exactly one other lot.

A and D are not situated next to each other.

D is located in a higher-number lot than C.

F is in lot 3.

Which one of the following must be true?

Possible Answers:

Either A ore else B is in slot 2

Either A or else B is in slot 4

Either C or else D is in slot 2

Either C or else D is in slot 5

Either C or else E is in slot 6

Correct answer:

Either A or else B is in slot 4

Explanation:

The correct answer involves an assignment that must be true, which means all the other options must be or could be false.  The answer choices involve two options, and the correct answer must be true as to both options.

A or B must occupy slot 4 because they must be separated by a single slot (i.e., there must be a restaurant between them).  This can only happen if slot 4 is occupied by either A or B.  Note:  A or B could occupy slot 2, but it isn't mandated.  The question here is calling upon us to find what is mandated, not what is possible.

Example Question #134 : Sequencing

Six fast-food restaurants at a food court are assigned to numbered lots---1 through 6---that are arranged in that order (i.e., lot 1 is on the far left and lot 6 is on the far right).  The restaurants are A, B, C, D, E, and F.  The following arrangement characterizes how these restaurants are situated in the food court:

A and B have one restaurant between them, which is to say, they are assigned to lots that are separated from each other by exactly one other lot.

A and D are not situated next to each other.

D is located in a higher-number lot than C.

F is in lot 3.

Which one of the following CANNOT be true?

Possible Answers:

C and F are in slots that are separated from each other by exactly one position.

B and D are in slots that are next to each other.

C and E are in slots that are next to each other.

C and A are in slots that are next to each other.

B and D are in slots that are separated from each other by exactly one position.

Correct answer:

C and E are in slots that are next to each other.

Explanation:

Because only C and E can occupy slot 1, C and E cannot be in juxtaposition in slots 4 through 6.  That means C and E can only be in juxtaposition in slots 1 and 2.  But neither C nor E can be in slot 2.  Why? E cannot go into slot 2, because if that were the case, we could not fit the other restuarants into slots 4, 5, and 6.  In other words, with E in slot 2, C must occupy slot 1.  That leaves A, B, and D for slots 4, 5, and 6.  But notice:  A cannot be next to D, according to the rules.  Since A and B must be separated by one slot, this arrangement would force A to be next to D, which is not permissible.  The exact same analysis applies if C occupies slot 2.

Example Question #131 : Sequencing

A coin dealer is creating a display using six coins of different types or styles including bullion, colonial, dime, gold, quarter, and territorial.  The six coins are to be displayed in a line.  The following rules apply:

The dime must be second or fifth

The gold must come after the colonial

There must be one coin between the gold and the quarter

Which of the following could be the order of the coins?

Possible Answers:

Colonial, gold, bullion, quarter, dime, territorial

Dime, territorial, colonial, quarter, bullion, gold

Gold, colonial, quarter, bullion, dime, territorial

Territorial, dime, gold, colonial, quarter, bullion

Colonial, territorial, gold, bullion, dime, quarter

Correct answer:

Colonial, gold, bullion, quarter, dime, territorial

Explanation:

Each of the incorrect answers violates one or more of the rules.  Carefully apply the rules to eliminate the incorrect answers.

Example Question #132 : Lsat Logic Games

In a new strip mall, six vacant store spaces will be used to open new stores by six companies: Fisk, Gourd, Hack, Jipp, Lux, and Mort. Each of the six companies will open exactly one new store in one of the spaces, numbered 1-6. No two companies can share an individual store space. The stores will choose their store space based on the following rules:

Hack must open a store space numbered higher than the one opened by Jipp.

Lux’s space number is lower than the space number of Gourd.

Hack cannot use the fifth or the sixth store space.

Jipp must open a store space numbered higher than the one opened by Fisk.

Which of the following could be a list of companies, ordered 1-6 by the store spaces they use for their stores?

Possible Answers:

Mort, Fisk, Jipp, Lux, Hack, Gourd

Fisk, Jipp, Gourd, Hack, Lux, Mort

Fisk, Hack, Jipp, Lux, Mort, Gourd

Lux, Fisk, Jipp, Hack, Gourd, Mort

Jipp, Lux, Mort, Hack, Fisk, Gourd

Correct answer:

Lux, Fisk, Jipp, Hack, Gourd, Mort

Explanation:

For this question, you will need to eliminate wrong answers using the rules given in the stimulus.

The first global rule tells you that Jipp must be listed before Hack. With this deduction, you can eliminate the following sequence as a wrong answer: Fisk, Hack, Jipp, Lux, Mort, Gourd.

The second global rule tells you that Lux must be listed before Gourd. With this deduction, you can eliminate the following sequence as a wrong answer: Fisk, Jipp, Gourd, Hack, Lux, Mort.

The third global rule tells you that Hack must be in either the first, second, third, or fourth space. With this deduction, you can eliminate the following sequence as a wrong answer: Mort, Fisk, Jipp, Lux, Hack, Gourd.

The fourth global rule tells you that Fisk must be listed before Jipp. With this deduction, you can eliminate the following sequence as a wrong answer: Jipp, Lux, Mort, Hack, Fisk, Gourd.

The correct answer is: Lux, Fisk, Jipp, Hack, Gourd, Mort. This sequence conforms to all four global rules.

Example Question #132 : Lsat Logic Games

Over the course of four consecutive weeks, each one of seven car models—M, N, P, Q, R, V, and Y—will be put on sale at a discounted price. A different pair of car models will be put on sale each week. Exactly one of these car models will be put on sale twice. The car models will be put on sale according to the following guidelines:

For any week in which Q is put on sale, N must be put on sale during the immediately preceding week.

M is not put on sale during a given week unless either Q or V is also put on sale in that same week.

The car model put on sale twice is put on sale during week 4, but it is not put on sale during week 3.

V is put on sale during week 3.

P is put on sale during one of the first two weeks.

Which one of the following could be the schedule of cars put on sale over the 4 weeks?

Possible Answers:

Week 1: M, Q; Week 2: P, Y; Week 3: V, R; Week 4: N, Y

Week 1: N, P; Week 2: Q, M; Week 3: V, Y; Week 4: R, P

Week 1: N, P; Week 2: Q, R; Week 3: V, Y; Week 4: M, R

Week 1: N, Y; Week 2: Q, R; Week 3: V, M; Week 4: P; Y

Week 1: P, R; Week 2: N, Q; Week 3: V, M; Week 4: Y, R

Correct answer:

Week 1: N, P; Week 2: Q, M; Week 3: V, Y; Week 4: R, P

Explanation:

To determine an acceptable schedule of cars on sale, you can eliminate the wrong answers by checking each global rule against the answer choices.

The first global rule tells you that N must always be in the week immediately preceding Q. So you can eliminate two answers: the sequence that has Q in week 1 and N in week 4 AND the sequence that has N and Q together in week 2.

The second global rule tells you that M must always be with either Q or V. So you can eliminate the answer that has M in week 4 with R.

The fifth global rule tells you that P must be put on sale either on week 1 or week 2. So you can eliminate the answer that has P in week 4 only.

This leaves you with the correct answer, which is a sequence that meets all conditions: Week 1: N, P; Week 2: Q, M; Week 3: V, Y; Week 4: R, P

Example Question #135 : Linear Games

Over the course of four consecutive weeks, each one of seven car models—M, N, P, Q, R, V, and Y—will be put on sale at a discounted price. A different pair of car models will be put on sale each week. Exactly one of these car models will be put on sale twice. The car models will be put on sale according to the following guidelines:

For any week in which Q is put on sale, N must be put on sale during the immediately preceding week.

M is not put on sale during a given week unless either Q or V is also put on sale in that same week.

The car model put on sale twice is put on sale during week 4, but it is not put on sale during week 3.

V is put on sale during week 3.

P is put on sale during one of the first two weeks.

Which one of the following is a pair of car models that could be put on sale during the same week as one another?

Possible Answers:

M and N

N and V

P and V

R and V

N and Q

Correct answer:

R and V

Explanation:

You can quickly eliminate M and N as a possible pair, because you know from the global rules that M must always be paired with either Q or V.

You can eliminate N and Q. The pair cannot be put in week 1, because there's no room for a second N to precede Q (required by the global rules). The pair cannot be put in week 2, because that would force N to precede Q in week 1; however, the car model that is put on sale twice must have one of those two apperances be in week 4 - with this case, N is appearing in weeks 1 and 2. The pair cannot be put in week 3 because V already occupies one of the two spaces. The pair cannot be put in week 4, because that would force N to precede Q in week 3; however, this would break the global rule of the car model put on sale twice not appearing in week 3.

You can eliminate N and V. Since this would be the only week in which N shows up, it would require that Q go during week 4. Because Q cannot appear a second time (you won't be able to put another N preceding it), M must also go in week 4 - it's the only way to meet the requirement of M pairing up with N or Q. However, this arrangement will not allow us to meet the requirement of the car model put on sale twice occurring during week 4: neither M nor Q can be put on sale twice.

You can eliminate P and V. This would require P to go with V during week 3, meaning it cannot be put on sale twice according to the third global rule. However, this would keep P from showing up in either week 1 or 2, which is required by the final global rule.

R and V is the correct answer. A possible outcome in which R and V are put on sale together is as follows:

Week 1: P, N; Week 2: M, Q; Week 3: V, R; Week 4: P, Y

Example Question #133 : Lsat Logic Games

In a new strip mall, six vacant store spaces will be used to open new stores by six companies: Fisk, Gourd, Hack, Jipp, Lux, and Mort. Each of the six companies will open exactly one new store in one of the spaces, numbered 1-6. No two companies can share an individual store space. The stores will choose their store space based on the following rules:

Hack must open a store space numbered higher than the one opened by Jipp.

Lux’s space number is lower than the space number of Gourd.

Hack cannot use the fifth or the sixth store space.

Jipp must open a store space numbered higher than the one opened by Fisk.

The selection of store spaces by each company is fully determined if which one of the following is true?

Possible Answers:

Hack chooses store space 4.

Mort chooses store space 3.

Lux chooses store space 1.

Gourd chooses store space 5.

Jipp chooses store space 2.

Correct answer:

Mort chooses store space 3.

Explanation:

With this problem, you are looking for a given piece of information that will restrict all other companies to only one possible store space - thereby resulting in only one possible full outcome.

You can eliminate Gourd selecting store space 5 as a possible answer. If Gourd chooses 5, a few of the companies have more than one option. Lux, for instance, can still select either store space 1 or 4.

You can eliminate Hack selecting store space 4 as a possible answer. If Hack chooses 4, a few of the companies have more than one option. Jipp, for instance, can still select store space 2 or 3.

You can eliminate Jipp selecting store space 2 as a possible answer. If Jipp chooses 2, Hack can still select store space 3 or 4.

You can eliminate Lux selecting store space 1 as a possible answer. If Lux chooses 1, Gourd and Mort must select spaces 5 and 6, but each can choose 5 or 6 and it still be a valid outcome.

The correct answer is Mort selecting store space 3. Only one possible outcome results if Mort chooses 3:

Fisk--Jipp--Mort--Hack--Lux--Gourd

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