LSAT Logic Games : Linear Games

Study concepts, example questions & explanations for LSAT Logic Games

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Example Questions

Example Question #491 : Linear Games

During an international academic conference that will take place over a six-day period, six different speakers will deliver lectures to the entire assembly.  The speakers come from different countries and each country has two lecturers who are eligible to be speakers.  The countries are:  France, Greece, Haiti, Iceland, Nigeria, and Tunisia.  The following restrictions apply:

Nigeria may not put forth a speaker for day 2 or 4.

A speaker from Iceland may not deliver a lecture unless a speaker from Nigeria delivers a lecture the next day.

A speaker from Greece may not deliver a lecture unless a speaker from Iceland delivers a lecture the next day.

Which one of the following is a complete and accurate list of the days, any one of which is a day on which a speaker from Iceland could deliver a lecture?

Possible Answers:

day 2, day 5, day 6

day 1, day 3

day 2, day 4

day 2, day 4, day 5

day 1, day 3, day 5

Correct answer:

day 2, day 4, day 5

Explanation:

I must immediately precede N whenever I appears.  N cannot be in slots 2 and 4.  Combining these two rules leads to the deduction that I cannot be in slots 1, 3, and 6.  That means I can only be in slots 2, 4, and 5.

Example Question #54 : Solving Four And Five Variable Logic Games

During an international academic conference that will take place over a six-day period, six different speakers will deliver lectures to the entire assembly.  The speakers come from different countries and each country has two lecturers who are eligible to be speakers.  The countries are:  France, Greece, Haiti, Iceland, Nigeria, and Tunisia.  The following restrictions apply:

Nigeria may not put forth a speaker for day 2 or 4.

A speaker from Iceland may not deliver a lecture unless a speaker from Nigeria delivers a lecture the next day.

A speaker from Greece may not deliver a lecture unless a speaker from Iceland delivers a lecture the next day.

If two speakers are from France, one lecturing on day 3 and the other on day 5, which one of the following is a pair of countries that could offer speakers to deliver lectures on day 1 and day 6, respectively?

Possible Answers:

Nigeria and Tunisia

Iceland and Nigeria

Tunisia and Greece

France and Tunisia

Greece and Haiti

Correct answer:

Nigeria and Tunisia

Explanation:

F is stipulated to be in slots 3 and 5.  That means I can't be in slots 2 and 4 because N must come immediately after I (slots 3 and 5 are taken now).  G can't be in slot 1 because I cannot appear in slot 2.  I can't be in slot 1 because N can't be in slot 2.  G can't be in slot 6 because it must precede I and N.  F can't be in slot 1 because it already occupies two slots.  These deductions serve to eliminate all the answer choices except the correct one:  N in slot 1 and T in slot 6.

Example Question #493 : Linear Games

During an international academic conference that will take place over a six-day period, six different speakers will deliver lectures to the entire assembly.  The speakers come from different countries and each country has two lecturers who are eligible to be speakers.  The countries are:  France, Greece, Haiti, Iceland, Nigeria, and Tunisia.  The following restrictions apply:

Nigeria may not put forth a speaker for day 2 or 4.

A speaker from Iceland may not deliver a lecture unless a speaker from Nigeria delivers a lecture the next day.

A speaker from Greece may not deliver a lecture unless a speaker from Iceland delivers a lecture the next day.

If a speaker from Greece delivers a lecture at some time after a speaker from Nigeria delivers a lecture, then a speaker from Nigeria must deliver a lecture on:

Possible Answers:

day 1 or else day 3

day 3 or else day 5

day 5

day 3

day 1

Correct answer:

day 1 or else day 3

Explanation:

G must come after N, so the sequence must abide by this sequence: 

N --- GIN. 

We already know that N cannot be in slots 2 and 4.  Given the sequence noted here, N cannot be in slots 5 and 6 because G is precluded from slots 5 and 6.  That leaves only 1 and 3 open for N.  So N could only appear in one of those two slots, but not both.  Hence, the correct answer is:  day 1 or else day 3.

Example Question #53 : Solving Four And Five Variable Logic Games

Over the course of four weeks, each of seven television programs will be aired to a focus group for help in coming up with a title. The programs are identified as G, H, J, K, L, M, and O. A different pair of these programs will be aired each week. Exactly one of the programs will be a member of two of these four pairs. The following constraints must be observed:

J is not aired during a given week unless H is aired during the week immediately preceding J’s airing.

The show that is aired during two of the weeks is aired during week 4 but is not aired during week 3.

G is not aired during a given week unless either J or else O is also aired during that week.

K is aired during one of the first two weeks.

O is one of the products aired during week 3.

Which one of the following could be the schedule for the airing of the television shows?

Possible Answers:

week 1: H, K; week 2: J, G; week 3: O, L; week 4: M, K

week 1 H, L; week 2: J, M; week 3: O, G; week 4: K, L

week 1: G, J; week 2: K, L; week 3: O, M; week 4: H, L

week 1: K, M; week 2: H, J; week 3: O, G; week 4: K, L

week 1: H, K; week 2: J, M; week 3: O, L; week 4 G, M

Correct answer:

week 1: H, K; week 2: J, G; week 3: O, L; week 4: M, K

Explanation:

This is an acceptability question, so the approach is to use each rule singly to eliminate answer choices that violate that specific rule. Applying each of the rules to the choices leaves the correct answer standing as the only non-rule violator.

Example Question #494 : Linear Games

Over the course of four weeks, each of seven television programs will be aired to a focus group for help in coming up with a title. The programs are identified as G, H, J, K, L, M, and O. A different pair of these programs will be aired each week. Exactly one of the programs will be a member of two of these four pairs. The following constraints must be observed:

J is not aired during a given week unless H is aired during the week immediately preceding J’s airing.

The show that is aired during two of the weeks is aired during week 4 but is not aired during week 3.

G is not aired during a given week unless either J or else O is also aired during that week.

K is aired during one of the first two weeks.

O is one of the products aired during week 3.

If L is the show that is aired during two of the weeks, which one of the following is a show that must be aired during one of the weeks in which L is shown?

Possible Answers:

J

M

H

K

G

Correct answer:

M

Explanation:

Since L is doubled, it must be in slot 4.  Since G must be coupled with J or O, G must be aired in week 2 or 3, and thus G cannot be coupled with L.  Since L is the doubled entity and K must be aired in week 1 or 2 only, it follows that K cannot be coupled with L.  Thus, by process of elimination, M is the correct answer.

Example Question #52 : Four & Five Variable

A chef is considering using some spices in a dish: fennel, ginger, jimbu, kokum seed, lemon peel, mint, and oregano. The chef must dry a spice before she can use it in the dish. The spices must be used according to the following criteria:

  • If ginger is dried, then so is jimbu.
  • If jimbu is dried, then so is lemon peel.
  • Fennel must be dried.
  • Fennel is not used in the dish unless the kokum seed is dried.
  • Kokum seed is not used in the dish unless mint is dried.
  • If mint is used in the dish and the lemon peel is dried, oregano is used in the dish.

Which of the following could be a complete list of spices the chef dries?

Possible Answers:

Fennel, ginger

Fennel, lemon peel

Fennel, ginger, lemon peel

Fennel, ginger, jimbu

Fennel, jimbu

Correct answer:

Fennel, lemon peel

Explanation:

Ginger cannot be included in the list without jimbu and lemon peel also being included and jimbu cannot be included without lemon peel also being included. Thus, fennel and lemon peel is the only combination which could be a complete and accurate list.

Example Question #61 : Solving Four And Five Variable Logic Games

On Sunday, Marvin plans his dinners for the following 6 days (Monday-Saturday). He plans 6 main courses and 3 salads. Of the main courses, 3 are pasta dishes—Angel Hair, Fettuccine, and Spaghetti—and 3 are meat dishes—Steak, Chicken Breast, and Pork Loin. The 3 salads are Caesar Salad, Greek Salad, and Garden Salad. All of the following statements are true about the meals Marvin has planned for the week:

  • Each main course and each salad will be served exactly once during the week
  • A pasta dish is never served on the same night as a meat dish
  • Salad is always paired with either a pasta dish or a meat dish

  • The 3 salads are not always paired with a meat dish nor are they always paired with a pasta dish

  • No two meat dishes are served on consecutive days

  • Both Wednesday and Friday have pasta dishes

  • Both Monday and Thursday have salads with dinner

Given the above information, which of the following could NOT be Marvin's planned meal for Thursday night?

Possible Answers:

Pork Loin with Garden Salad

Chicken Breast with Greek Salad

Chicken Breast with Caesar Salad

Angel Hair Pasta and Caesar Salad

Steak with Greek Salad

Correct answer:

Angel Hair Pasta and Caesar Salad

Explanation:

You are told that "No two meat dishes are planned on consecutive days" and that "Both Wednesday and Friday have pasta dinners."  Given that this is true, and that each dish mentioned must be served at some point during the week, you can conclude that Thursday night must be a meat dish, as if it were the third pasta dish, the only days of the week left available to serve the three meat dishes would be Monday, Tuesday, and Saturday, and that would break the rule that no two meat dishes are planned for consecutive days.  So you can eliminate Angel Hair Pasta as the dish for Thursday night.  Any of the other dishes would be possible.

Example Question #491 : Lsat Logic Games

On Sunday, Marvin plans his dinners for the following 6 days (Monday-Saturday). He plans 6 main courses and 3 salads. Of the main courses, 3 are pasta dishes—Angel Hair, Fettuccine, and Spaghetti—and 3 are meat dishes—Steak, Chicken Breast, and Pork Loin. The 3 salads are Caesar Salad, Greek Salad, and Garden Salad. All of the following statements are true about the meals Marvin has planned for the week:

  • Each main course and each salad will be served exactly once during the week
  • A pasta dish is never served on the same night as a meat dish
  • Salad is always paired with either a pasta dish or a meat dish

  • The 3 salads are not always paired with a meat dish nor are they always paired with a pasta dish

  • No two meat dishes are served on consecutive days

  • Both Wednesday and Friday have pasta dishes

  • Both Monday and Thursday have salads with dinner

Given all of the above, suppose you find out that Marvin plans to have Greek Salad with his Wednesday meal.  If that is true, which of the following dinners would be impossible?

Possible Answers:

Fettuccine and Greek Salad on Wednesday

Chicken Breast and Garden Salad on Thursday

Steak and Garden Salad on Tuesday

Pork Loin on Tuesday

Pork Loin on Saturday

Correct answer:

Steak and Garden Salad on Tuesday

Explanation:

You are given the information that

  • Both Wednesday and Friday have pasta dinners

  • Both Monday and Thursday have salads with dinner

Which means that, if Marvin plans to eat Greek salad with dinner on Wednesday, he must be eating it with a pasta dish and that the other two salads (Caesar and Garden) must be eaten on Monday and Thursday.  Therefore, the only option listed here that would be precluded would be "Steak and Garden Salad on Tuesday," as there are only three salads, and you know that they are planned for Monday, Wednesday, and Thursday.

Example Question #62 : Solving Four And Five Variable Logic Games

On Sunday, Marvin plans his dinners for the following 6 days (Monday-Saturday). He plans 6 main courses and 3 salads. Of the main courses, 3 are pasta dishes—Angel Hair, Fettuccine, and Spaghetti—and 3 are meat dishes—Steak, Chicken Breast, and Pork Loin. The 3 salads are Caesar Salad, Greek Salad, and Garden Salad. All of the following statements are true about the meals Marvin has planned for the week:

  • Each main course and each salad will be served exactly once during the week
  • A pasta dish is never served on the same night as a meat dish
  • Salad is always paired with either a pasta dish or a meat dish

  • The 3 salads are not always paired with a meat dish nor are they always paired with a pasta dish

  • No two meat dishes are served on consecutive days

  • Both Wednesday and Friday have pasta dishes

  • Both Monday and Thursday have salads with dinner

Which of the following, if true, would give you enough information to determine what day the Spaghetti dinner was planned for?

Possible Answers:

Two pasta meals are paired with salads and one meat meal is paired with a salad

Spaghetti would not be paired with a salad, a salad would be served on Wednesday, a meat dish would be served on Tuesday

Angel Hair Pasta would be served with the Caesar Salad, Chicken Breast with the Garden Salad

Chicken Breast would be served earlier in the week than Pork Loin and later in the week than Steak

The Tuesday and Friday dishes would not be paired with a salad

Correct answer:

Spaghetti would not be paired with a salad, a salad would be served on Wednesday, a meat dish would be served on Tuesday

Explanation:

From the given information, you know that 

  • Both Wednesday and Friday have pasta dinners

  • Both Monday and Thursday have salads with dinner

From this, you can see that two of the nights that could have Spaghetti are Wednesday and Friday, and that Thursday and Saturday could not have the Spaghetti dinner (because you also know that "No two meat dishes are planned on consecutive days" and therefore, if Wednesday and Friday both have pasta dinners, Thursday and Saturday must both have meat dinners, or two of the meat dinners would have to be consecutive).  The only answer choice that gives you enough information to fully determine which night would have Spaghetti is "Spaghetti would not be paired with a salad, a salad would be served on Wednesday, a meat dish would be served on Tuesday."  You know that both Monday and Thursday have salads, so Spaghetti would not be served on either of those nights, and if a meat dish would be served on Tuesday, that tells you that the three nights that have pasta dishes are Monday, Wednesday and Friday (or else meat would have to be served two consecutive nights, which isn't allowed).  Since you now know that both Monday and Wednesday dinners will be served with salads, that leaves only Friday night as the possible night that Spaghetti will be served.

Example Question #63 : Solving Four And Five Variable Logic Games

On Sunday, Marvin plans his dinners for the following 6 days (Monday-Saturday). He plans 6 main courses and 3 salads. Of the main courses, 3 are pasta dishes—Angel Hair, Fettuccine, and Spaghetti—and 3 are meat dishes—Steak, Chicken Breast, and Pork Loin. The 3 salads are Caesar Salad, Greek Salad, and Garden Salad. All of the following statements are true about the meals Marvin has planned for the week:

  • Each main course and each salad will be served exactly once during the week
  • A pasta dish is never served on the same night as a meat dish
  • Salad is always paired with either a pasta dish or a meat dish

  • The 3 salads are not always paired with a meat dish nor are they always paired with a pasta dish

  • No two meat dishes are served on consecutive days

  • Both Wednesday and Friday have pasta dishes

  • Both Monday and Thursday have salads with dinner

Given the above information, which of the following statements is logically valid?

Possible Answers:

Either two meat dishes are eaten with a salad, or two pasta dishes are eaten with a salad.

Either a pasta dish is eaten on Tuesday, or a meat dish is not eaten on Monday.

Either a meat dish or a salad is eaten on Friday, but not both.

Either Steak or Chicken Breast is eaten on Thursday.

Either Greek Salad or Garden Salad is eaten with a meat dish.

Correct answer:

Either two meat dishes are eaten with a salad, or two pasta dishes are eaten with a salad.

Explanation:

When determining the logical validity of "either/or" statements, recall that for the whole statement to be valid, only one of the forks of the statement has to be true.  Since you are given the information "Salad is not always eaten with meat AND not always eaten with pasta," and that there are 3 salad dishes in total, you can logically determine that either two of the salads are eaten with pasta dishes, or two of the salads are eaten with meat dishes.  You know that at least one salad is eaten with a pasta dish and at least one is eaten with a meat dish, and you know the third must be eaten with either a pasta or a meat dish, because you are told "Salad is always paired with either a pasta dish or a meat dish."  The other statements cannot be logically deduced from the information given.

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