All LSAT Logic Games Resources
Example Questions
Example Question #1 : Solving Three Variable Logic Games
A baker is making three pizzas, one at a time, each with two toppings. The baker has six available toppings--anchovies, bacon, mushrooms, peppers, sausage, tomatoes. No topping can be put on more than one pizza. The pairings of toppings must conform to the following rules:
Anchovies cannot be paired with peppers
Mushrooms and tomatoes must be on the same pizza
Sausage must be on the second pizza if mushrooms are on the first
Peppers must be on a pizza made after the pizza with sausage
Which of the following is a possible ordering of the pizzas and toppings?
Sausage and tomatoes; peppers and anchovies; mushrooms and bacon
Sausage and anchovies; mushrooms and tomatoes; peppers and bacon
Mushrooms and tomatoes; sausage and peppers; bacon and anchovies
Peppers and bacon; mushrooms and tomatoes; anchovies and sausage
Sausage and bacon; mushrooms and tomatoes; anchovies and peppers
Sausage and anchovies; mushrooms and tomatoes; peppers and bacon
If peppers must be on a pizza made after the sausage pizza, then peppers can never be on the first pizza or the same pizza as sausage. We can also easily eliminate any option in which tomatoes and mushrooms are not paired. Remember, sausage is only required to be on the second pizza if mushrooms are on the first.
Example Question #1 : Three Variable
A baker is making three pizzas, one at a time, each with two toppings. The baker has six available toppings--anchovies, bacon, mushrooms, peppers, sausage, tomatoes. No topping can be put on more than one pizza. The pairings of toppings must conform to the following rules:
Anchovies cannot be paired with peppers
Mushrooms and tomatoes must be on the same pizza
Sausage must be on the second pizza if mushrooms are on the first
Peppers must be on a pizza made after the pizza with sausage
If sausage is on the second pizza, which of the following is a complete list of toppings that must be on the third pizza?
Peppers
Bacon
Bacon and peppers
Mushrooms and tomatoes
Peppers and tomatoes
Bacon and peppers
Since peppers must be on a pizza made after the pizza with sausage, peppers must be on the third pizza. Now, since the second and third pizzas already have one topping each, and since mushrooms and tomatoes must be on the same pizza, they must be on the first pizza. As a result, anchovies must be on the second pizza because they cannot be on the same pizza as peppers. The only remaining spot for bacon is on the third pizza. Therefore, both bacon and peppers must be on the third pizza.
Example Question #2 : Solving Three Variable Logic Games
A baker is making three pizzas, one at a time, each with two toppings. The baker has six available toppings--anchovies, bacon, mushrooms, peppers, sausage, tomatoes. No topping can be put on more than one pizza. The pairings of toppings must conform to the following rules:
Anchovies cannot be paired with peppers
Mushrooms and tomatoes must be on the same pizza
Sausage must be on the second pizza if mushrooms are on the first
Peppers must be on a pizza made after the pizza with sausage
Instead of three pizzas, the baker makes four. Anchovies and bacon are each used on two separate pizzas. All other conditions are the same. If anchovies are on the second and fourth pizzas, each of the following could be true EXCEPT
Anchovies and bacon are on the same pizza
Peppers are on the third pizza
Bacon and sausage are on different pizzas
Mushrooms and tomatoes are on the first pizza
Anchovies and sausage are on different pizzas
Anchovies and sausage are on different pizzas
In this scenario, we actually know the toppings on all four pizzas.
Since anchovies are on the second and fourth pizzas, we know that peppers cannot be on the second and fourth pizzas based on our first condition. Also, peppers have to come after sausage, based on the fourth condition, which means they cannot be first. Thus, peppers MUST be on the third pizza.
The second condition states that mushrooms and tomatoes MUST be on the same pizza. At this point, since anchovies are on two pizzas, and peppers on another, the only possible pizza for both mushrooms and tomatoes is the first pizza. The first pizza is now fully topped.
The third condition states that sausage must be on the second pizza if mushrooms are on the first pizza. Therefore, sausage must be the second topping on the second pizza. The second pizza is fully topped.
There are only two spots available, so bacon becomes the second topping on both the third and the fourth pizzas. So our order must be:
MT, AS, PB, AB
Example Question #1 : Solving Three Variable Logic Games
A college advisor is scheduling students for six time slots, consecutively. The students she must schedule are Larissa, Melinda, Nick, Oscar, Patricia, and Quinn. Two of them are seniors and the rest are juniors. The scheduling must conform to the following conditions:
A senior must be immediately preceeded by a junior
Larissa's meeting must be before Melinda's meeting
Nick's meeting must be before Quinn's meeting
Patricia is a junior, and she must be schedued either first or last
The third meeting scheduled is with a junior
Oscar cannot be scheduled first unless Nick is scheduled third
Which of the following must be true?
The first student is a junior
The fifth student is a junior
The second student is a senior
The fourth student is a senior
The sixth student is a senior
The first student is a junior
This is an inference we could have made just from the initial set up of this game. Since seniors must always be preceeded by juniors, the first spot must always be a junior. All of the other scenarios are possible and most have been seen in other set ups for other questions.
Example Question #4 : Three Variable
A creative writing professor is creating a set list for a poetry reading. She is choosing five poems from those written by eight students - Alan, Belle, Charlie, Dorian, Ernest, Xue, Yardley, and Zack. The poem's chosen and the order in which they are presented must conform to the following restrictions:
If Alan is chosen, Belle is also chosen
If Charlie is chosen, Dorian is not chosen
Ernest is chosen if and only if Xue is chosen
If Belle and Yardley are both chosen, Belle must read before Yardley
If Zack is chosen he must read first
If Charlie and Alan are both chosen, Charlie must read before Alan
If Zack is reading first and Dorian is reading last, which of the following could be a list of the students reading second, third and fourth, respectively?
Belle, Xue, Yardley
Ernest, Charlie, Xue
Xue, Ernest, Alan
Ernest, Xue, Belle
Yardley, Belle, Alan
Ernest, Xue, Belle
If Dorian is reading we know Charlie cannot read, so any answer that includes him can be eliminated. Any answer that includes either Ernest or Xue without the other can also be eliminated. Any answer that includes Alan and not Belle is also eliminated. Any answer that includes Belle and Yardley and does not have Belle reading first is also eliminated, leaving only the correct answer.
Example Question #381 : Lsat Logic Games
A college advisor is scheduling students for six time slots, consecutively. The students she must schedule are Larissa, Melinda, Nick, Oscar, Patricia, and Quinn. Two of them are seniors and the rest are juniors. The scheduling must conform to the following conditions:
A senior must be immediately preceeded by a junior
Larissa's meeting must be before Melinda's meeting
Nick's meeting must be before Quinn's meeting
Patricia is a junior, and she must be schedued either first or last
The third meeting scheduled is with a junior
Oscar cannot be scheduled first unless Nick is scheduled third
If Oscar is scheduled for the first meeting, all of the following could be true EXCEPT?
Melinda is fifth and is a senior
Melinda is fourth and is a senior
Larissa is second and is a junior
Quinn is fourth and is a junior
Patricia is sixth and is a junior
Larissa is second and is a junior
This question gives us specific new information, so we can go ahead and diagram all possibilities to see which of the answers could be true, and which one cannot. If Oscar is first, we immediately put Nick third because of the conditional. Since Oscar is in the first spot Patricia must be sixth. We know now that Patricia and Nick are juniors, due to the rules. We also know that Oscar is a junior - since every senior must be preceeded by a junior, the first spot cannot be a senior. Since Nick and Larissa have to come before Quinn and Melinda respectively, We have to put Larissa in the second spot. Melinda and Quinn can rotate between the fourth and fifth spots. We still need to assign the two seniors and one more junior. In order to abide by the rules, there are only two ways this can pan out. The first is : Junior, Senior, Junior, Senior, Junior, Junior. The second is: Junior, Senior, Junior, Junior, Senior, Junior. Therefore the only spots that are undetermined as far as whether they are a junior or a senior are the fourth and fifth spots. Therefore, the only possibility here that could never work is that Larissa is in the second spot and is a junior, since we know that spot must be a senior.
Example Question #1 : Solving Three Variable Logic Games
A creative writing professor is creating a set list for a poetry reading. She must chose five poems from those written by eight students - Alan, Belle, Charlie, Dorian, Ernest, Xue, Yardley, and Zack. The poems chosen and the order in which they are presented must conform to the following restrictions:
If Alan is chosen, Belle is also chosen
If Charlie is chosen, Dorian is not chosen
Ernest is chosen if and only if Xue is chosen
If Belle and Yardley are both chosen, Belle must read before Yardley
If Zack is chosen he must read first
If Charlie and Alan are both chosen, Charlie must read before Alan
Which of the following is a complete and accurate possible set list?
Charlie, Xue, Belle, Yardley, Alan
Belle, Zack, Yardley, Ernest, Xue
Zack, Belle, Charlie, Yardley, Alan
Charlie, Alan, Ernest, Xue, Yardley
Alan, Yardley, Charlie, Belle, Dorian
Zack, Belle, Charlie, Yardley, Alan
This question can be answered by eliminating incorrect answers based on rule violations. Any answer in which Zack appears anywhere but first is elminated. Any answer that includes Alan without Belle is eliminated. Any answer that features Yardley performing before Belle is eliminated. Any answer that includes Xue without Ernest (or vice versa) is eliminated, leaving only the correct answer.
Example Question #383 : Lsat Logic Games
A creative writing professor is creating a set list for a poetry reading. She is choosing five poems from those written by eight students - Alan, Belle, Charlie, Dorian, Ernest, Xue, Yardley, and Zack. The poem's chosen and the order in which they are presented must conform to the following restrictions:
If Alan is chosen, Belle is also chosen
If Charlie is chosen, Dorian is not chosen
Ernest is chosen if and only if Xue is chosen
If Belle and Yardley are both chosen, Belle must read before Yardley
If Zack is chosen he must read first
If Charlie and Alan are both chosen, Charlie must read before Alan
If Dorian and Xue are NOT chosen, each of the following must be true EXCEPT:
Alan reads third
Zack reads first
Alan does not read second
Belle does not read last
Yardley does not read second
Alan reads third
If Xue is not chosen, Ernest also must not be chosen. This means our group consists of Zack, Charlie, Alan, Belle and Yardley. If Zack is in a group, he must be first. If Charlie and Alan are both chosen, Charlie must come before Alan. In this case the first available spot is second, so Alan cannot go second. Similarly, because of the rule about Belle and Yardley, Yardley cannot go second either. Since Yardley has to come after Belle, Belle cannot go last. The only possibility within these answers is Alan reading third. The order in this case would be: Zack, Charlie, Alan, Belle, Yardley.
Example Question #384 : Lsat Logic Games
A college advisor is scheduling students for six time slots, consecutively. The students she must schedule are Larissa, Melinda, Nick, Oscar, Patricia, and Quinn. Two of them are seniors and the rest are juniors. The scheduling must conform to the following conditions:
A senior must be immediately preceeded by a junior
Larissa's meeting must be before Melinda's meeting
Nick's meeting must be before Quinn's meeting
Patricia is a junior, and she must be schedued either first or last
The third meeting scheduled is with a junior
Oscar cannot be scheduled first unless Nick is scheduled third
Which of the following is a complete and accurate possible schedule for the advisor's meetings?
Oscar, Larissa, Nick, Quinn, Melinda, Patricia
Patricia, Larissa, Melinda, Quinn, Oscar, Nick
Patricia, Nick, Oscar, Quinn, Melinda, Larissa
Oscar, Quinn, Nick, Larissa, Patricia, Melinda
Oscar, Nick, Larissa, Quinn, Melinda, Patricia
Oscar, Larissa, Nick, Quinn, Melinda, Patricia
This is a typical "grab a rule" type question; we can eliminate each wrong answer choice by going through each of the rules. Any answer in which Patricia is not first or last can be eliminated. Then any answer that does not feature Larissa before Melinda and Nick before Quinn can be eliminated. Finally an answer that breaks the conditional and has Oscar in the first slot without Nick in the third slot is eliminated, leaving only the correct answer.
Example Question #1 : Solving Three Variable Logic Games
A college advisor is scheduling students for six time slots, consecutively. The students she must schedule are Larissa, Melinda, Nick, Oscar, Patricia, and Quinn. Two of them are seniors and the rest are juniors. The scheduling must conform to the following conditions:
A senior must be immediately preceeded by a junior
Larissa's meeting must be before Melinda's meeting
Nick's meeting must be before Quinn's meeting
Patricia is a junior, and she must be schedued either first or last
The third meeting scheduled is with a junior
Oscar cannot be scheduled first unless Nick is scheduled third
If Larissa and Nick are juniors scheduled third and fourth respectively, which of the following could be true?
Oscar is last and is a junior
Melinda is second and is a senior
Quinn is fifth and is a senior
Patricia is last and is a junior
Oscar is second and is a junior
Quinn is fifth and is a senior
When we set this question up, placing Larissa and Nick in the third and fourth spots respectively, we can automatically make a couple of judgements. Oscar cannot be first, since Nick is not third. We also know that Melinda and Quinn must follow Larissa and Nick, respectively. Therefore, we must fill out the last two spots with those two though they can go in either order. Since Patricia cannot be last, she must go first. Oscar will fill the only spot left, which is the second spot. Patricia is always a junior, so we can label the first spot a junior, as well as the third spot which is always occupied by a junior. We are also given the information that Nick is a junior, so we can label the fourth spot as a junior as well. With this set up, we now move to placing our seniors. Knowing that seniors must be preceeded by juniors, we can fill in the last two spots with either "junior, senior" or "senior, junior". Either way, the second spot must be reserved for the other senior.
All LSAT Logic Games Resources
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