LSAT Logic Games › Solving four- and five-variable logic games
The directors of a movie festival are deciding the lineup of their six films: Causes, Brothers, Willow, Above, Forged, and Monarchy. The festival will span Friday, Saturday, and Sunday evenings. At least one movie must be played each night, and there can be no more than three played the same evening. No movie is played more than once. The directors have decided on the following:
Monarchy is played on the night directly after Brothers.
Willow is played on the same night as Above.
If Causes is played on Saturday, then Above is played on Friday.
Brothers and Forged do not play on the same night.
Forged does not play by itself.
What is the possible order of the six films?
Friday: Above, Willow
Saturday: Causes, Brothers
Sunday: Monarchy, Forged
Friday: Brothers, Forged
Saturday: Causes, Monarchy
Sunday: Above, Willow
Friday: Brothers, Above, Willow
Saturday: Causes, Monarchy
Sunday: Forged
Friday: Causes, Brothers
Saturday: Willow, Above
Sunday: Monarchy, Forged
Friday: Brothers, Above
Saturday: Monarchy, Causes
Sunday: Forged, Willow
First, consider what we're given. Forged cannot be played on a night by itself; we can delete that answer. Willow and Above must be played on the same evening, so we can delete the answer where they're not. Monarchy must be played directly after Brothers, so delete the answer where that is not the case. And lastly, Brothers and Forged cannot be played on the same evening. Delete that. We are left with the correct answer choice.
The directors of a movie festival are deciding the lineup of their six films: Causes, Brothers, Willow, Above, Forged, and Monarchy. The festival will span Friday, Saturday, and Sunday evenings. At least one movie must be played each night, and there can be no more than three played the same evening. No movie is played more than once. The directors have decided on the following:
Monarchy is played on the night directly after Brothers.
Willow is played on the same night as Above.
If Causes is played on Saturday, then Above is played on Friday.
Brothers and Forged do not play on the same night.
Forged does not play by itself.
If Forged plays on Friday, what must be true?
Monarchy is played on Sunday.
Willow is played on Friday.
Causes is played on Friday.
Brothers is played on Sunday.
Causes is played on Saturday.
Let's look at the question. It asks what must be true, not what can be true. In this scenario, Willow can be played on any of the days, so it does not have to be played on Friday. The same goes for Causes: it can be played on Friday or Saturday, so does not have to be played on Friday specifically or on Saturday specifically. Based on the information, because Brothers cannot play on the same night as Forged, it cannot play Friday night. But it must play one night before Monarchy, so it cannot play on Sunday night either, and it must be played on Saturday. Thus, Monarchy can and must be played on Sunday night since it must be played the night directly after Brothers.
The directors of a movie festival are deciding the lineup of their six films: Causes, Brothers, Willow, Above, Forged, and Monarchy. The festival will span Friday, Saturday, and Sunday evenings. At least one movie must be played each night, and there can be no more than three played the same evening. No movie is played more than once. The directors have decided on the following:
Monarchy is played on the night directly after Brothers.
Willow is played on the same night as Above.
If Causes is played on Saturday, then Above is played on Friday.
Brothers and Forged do not play on the same night.
Forged does not play by itself.
If Causes is played on Saturday, what could be true?
Forged could be played on Sunday.
Forged could be played on Saturday.
Willow could be played on Saturday.
Monarchy could be played on Friday.
Brothers could be played on Friday.
Let's look at the question. It asks which of the answers has the posibility of being true; it does not ask which of the answers must be true. We know that Causes is played on Saturday. Given our guidelines, that means that Above must be played on Friday. So Willow must also be played on Friday night; it cannot be played on Saturday. We can delete that answer. We know that Brothers must play on the night directly before Monarchy, so we know that Monarchy can thus not play on the first night of the festival. So Monarchy cannot be played on Friday. Delete that answer.
We know so far that Above and Willow play on Friday night and that Causes plays on Saturday night. Say Brothers plays on Friday night. Then Monarchy must play on Saturday night and Forged must play on Sunday night by itself, but that is impossible, so we can delete that answer choice. Say Forged plays on Saturday night, instead. Then Monarchy must play on Sunday night and Brothers must play on Saturday night, but that is impossible because Brothers and Forged cannot play on the same night. Delete that answer.
We are left with one choice. If Forged plays on Sunday night, Monarchy can also play on Sunday night, and Brothers can play on Saturday night. This is possible, and thus this is the correct answer.
There are five students sitting in a row while eating ice cream in the cafeteria. The students are Abby, Ben, Connie, David, and Emma. Each is eating a different flavor of ice cream. The order of the ice cream flavors is: vanilla, chocolate, mint chocolate chip, strawberry, and coffee.
Abby is not eating either mint chocolate chip or coffee ice cream.
Ben is sitting next to Emma and is not sitting next to Connie.
David is separated from Connie by exactly one person.
David is eating the coffee ice cream.
Who is eating the strawberry ice cream?
Abby
Ben
Connie
Emma
David
We know that David is eating the coffee ice cream, so we can immediately rule him out. We also know that Connie is exactly one seat away from David, so she must be eating the mint chocolate chip. We can rule her out. Ben and Emma are seated beside each other, so they must be the first two in line. The person seated between David and Connie must then be Abby, meaning that she is eating the strawberry ice cream.
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?
Nigeria and Tunisia
France and Tunisia
Greece and Haiti
Iceland and Nigeria
Tunisia and Greece
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.
The directors of a movie festival are deciding the lineup of their six films: Causes, Brothers, Willow, Above, Forged, and Monarchy. The festival will span Friday, Saturday, and Sunday evenings. At least one movie must be played each night, and there can be no more than three played the same evening. No movie is played more than once. The directors have decided on the following:
Monarchy is played on the night directly after Brothers.
Willow is played on the same night as Above.
If Causes is played on Saturday, then Above is played on Friday.
Brothers and Forged do not play on the same night.
Forged does not play by itself.
If Monarchy plays the same night as Above, what could be true?
Causes could play on Sunday.
Forged could play on Saturday.
Causes could be played on Saturday.
Willow could be played on Friday.
Causes could be played on the same night as Brothers.
Let's look at the question. It asks us which answer choice has the possibility of being true, not which one must be true. We know so far that Monarchy, Above, and Willow must all play on the same night. Given that Monarchy cannot be played on the first night (since Brothers must be played before it), these movies must be played on either Saturday or Sunday night. Thus Willow cannot be played on Friday night. Delete that answer.
Now, if Monarchy, Above, and Willow do not play on Saturday, they play on Sunday night, and thus Brothers must play on Saturday night. But Forged cannot play on the same night as Brothers, so it cannot be played on Saturday night. Also, since Forged cannot be played by itself, Causes must always be played with Forged, and thus Causes cannot be played the same evening as Brothers. Delete that answer.
Causes can either be played on Friday or on Sunday. We have our answer.
There are five students sitting in a row while eating ice cream in the cafeteria. The students are Abby, Ben, Connie, David, and Emma. Each is eating a different flavor of ice cream. The order of the ice cream flavors is: vanilla, chocolate, mint chocolate chip, strawberry, and coffee.
Abby is not eating either mint chocolate chip or coffee ice cream.
Ben is sitting next to Emma and is not sitting next to Connie.
David is separated from Connie by exactly one person.
David is eating the coffee ice cream.
Which ice cream is Emma eating?
Chocolate
Vanilla
Strawberry
Mint chocolate chip
Coffee
We know that David is eating coffee ice cream, so we can rule that answer out. Also, we know that Connie is separated from David by exactly one person, so she must be eating the mint chocolate chip ice cream. Ben and Emma are sitting next to one another, so they must be in the first two spots. Since Ben is not sitting next to Connie, he must be first in line. So, Emma must be the second in line. Thus she is eating the chocolate ice cream.
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 from Iceland are delivering lectures, one on day 2 and one on day 5, then the speaker on day 1 could be from any one of the following countries EXCEPT:
Nigeria
France
Greece
Haiti
Tunisia
The rules specify that if I is in play, then the sequence must be IN. The question specifies that I is in slots 2 and 5. That means N must be in slots 3 and 6. Therefore, N could not be in slot 1.
Five basketball players - Adams, Griffin, Jones, Smith, and Washington - were ranked in five statistical categories: points, rebounds, assists, steals, and blocks. Each player was the leader in one category and there were no ties. No other players were considered for the purpose of these rankings. The rankings of the players met the following conditions:
Smith ranked higher in points than in rebounds.
Griffin had a better ranking in rebounds than in assists and steals.
Adams was not the highest point scorer.
Washington was ranked last in blocks.
Which player could be the leader in potentially any category?
Jones
Griffin
Smith
Washington
Adams
The correct answer is: Jones.
Each player is the leader of one category. Smith ranked higher in points than in rebounds. Therefore, Smith cannot be the leader in rebounds. Griffin ranked higher in rebounds than in assists and steals. Therefore, Griffin cannot be the leader in assists or steals. Adams was not the highest point scorer. Therefore, Adams cannot be the leader in points. Washington ranked last in blocks. Therefore, Washington cannot be the leader in blocks. Thus, the correct answer is Jones.
The directors of a movie festival are deciding the lineup of their six films: Causes, Brothers, Willow, Above, Forged, and Monarchy. The festival will span Friday, Saturday, and Sunday evenings. At least one movie must be played each night, and there can be no more than three played the same evening. No movie is played more than once. The directors have decided on the following:
Monarchy is played on the night directly after Brothers.
Willow is played on the same night as Above.
If Causes is played on Saturday, then Above is played on Friday.
Brothers and Forged do not play on the same night.
Forged does not play by itself.
If Sunday night is cancelled, but the same restrictions apply, what could be the possible order of the six films?
Friday: Brothers, Willow, Above
Saturday: Causes, Monarchy, Forged
Friday: Causes, Brothers
Saturday: Willow, Above, Forged, Monarchy
Friday: Causes, Brothers, Forged
Saturday: Monarchy, Willow, Above
Friday: Brothers, Monarchy, Causes
Saturday: Forged, Willow, Above
Friday: Brothers, Causes, Willow
Saturday: Forged, Above, Monarchy
Looking at our restrictions, we know that there can be no more than three movies played each night. We can delete the answer choice with four movies on Saturday night. We also know that Monarchy must be played directly after Brothers. Delete the answer where it is not. Willow and Above must be played the same night. Delete the answer where they are not. And lastly, Brothers and Forged cannot be played the same night. Delete that answer choice. We are thus left with one answer choice, and it abides by all of our restrictions.