LSAT Logic Games : Linear Games
Study concepts, example questions & explanations for LSAT Logic Games
All LSAT Logic Games Resources
Example Questions
Example Question #73 : Two Variable
Daniel, Fiona, Ivette, Kevin, Marge and Polly are in line to get their cars washed, and all of their cars are washed only once. The order in which their cars recieve a wash is restricted by the following stipulations:
-Ivette's wash is separated from Daniel's wash by 3 other washes
-Fiona's wash is separated from Kevin's wash by one other wash
-Polly's car is washed before Daniel's
How many different spots in the line can Fiona occupy?
2
4
3
6
5
6
This is a time-consuming problem in that you must test to see if F can be in any position. There are two things to consider as far as time restraints: first, use the test thus far to your advantage. look at all your old sequences and see where F has occupied successfully. Second, every spot K occupies can be occupied by F.
See if F can be first (and consequently third, the spot K must occupy)
Place F first and follow though all the restrictions
(F, _, _, _, _, _) --> (F, _, K, _, _, _) --> (F, I, K, _, _, D) I choose to put D last to leave more flexibility with the placement of P. See rule 3. --> (F, I, K, (M/P),(M/P) , D). F and K are replaceable so F can occupy spot 1 and 3.
Place F second and work it through
(_, F, _, _, _, _) --> (_, F, _, K, _, _) --> (I, F, _, K, D, _) --> (I, F, P, K, D, _) --> (I, F, P, K, D, M). F and K are interchangeable so F works in both 2 and 4.
Next test F in 5.
(_, _, _, _, F, _) --> (_, _, K, _, F, _) --> (_, (I/D), K, _, F, (I/D)) --> (P, (I/D), K, _, F, (I/D)) --> (P, (I/D), K, M, F, (I/D)). F can work in 5.
Next test F in 6.
(_, _, _, _, _, F) --> (_, _, _, K, _, F) --> (_, (I/D), _, K, (I/D), F) --> (P, (I/D), _, K, (I/D), F) --> (P, (I/D), M, K, (I/D), F). F can work in 6.
F can work in any spot, so since there are 6 spots, the answer is 6.
Example Question #73 : Two Variable
A chef is arranging spices on a shelf. Four of the spices are in large jars: garlic, oregano, pepper, and salt. Three of the spices are in small jars: basil, cumin, and mint. The following conditions apply:
A large jar must be first or fourth
Pepper must come after cumin but before basil
The jar of salt must be the first large jar in the line
Basil cannot be immediately before or after garlic
If the rules are changed so that basil must come directly after garlic, and if all other rules remain the same, which of the following cannot be true?
garlic is fourth
mint is second
cumin is fourth
pepper is fifth
mint is first
garlic is fourth
If garlic and basil must be next to each other, then there are now five spices that must come after salt. Only four spices can come after salt when salt is third, so salt cannot be third.
Example Question #75 : Two Variable
Three circus performers—Flo, Genie, and Kyle—will perform the following six circus acts: acrobatics; ball juggling; clowning; dunking; elephant demonstrations; fire twirling. Each act is performed only once in any given show, and only one act is performed at a time. The following conditions dictate the sequencing of these acts:
- Flo performs exactly one act before Genie performs any of her acts
- Flo does not perform first and he does not perform last
- Genie does not do acrobatics and ball juggling
- Kyle does not do acrobatics and elephant demonstrations
- Ball juggling is performed immediately after the elephant demonstrations
Which one of the following is an acceptable list of the performers and their circus acts, in order from first to last in the show?
Kyle: clowning; Flo: acrobatics; Flo: elephant demonstrations; Kyle: ball juggling; Genie: dunking; Genie: fire twirling
Kyle: clowning; Flo: dunking; Genie: elephant demonstrations; Kyle: ball juggling; Flo: acrobatics; Genie: fire twirling
Flo: fire twirling; Genie: elephant demonstrations; Kyle: ball juggling; Kyle: dunking; Flo: acrobatics; Genie: clowning
Kyle: fire twirling; Flo: elephant demonstrations; Genie: dunking; Kyle: ball juggling; Flo: acrobatics; Genie: clowning
Kyle: dunking; Kyle: fire twirling; Flo: clowning; Genie: acrobatics; Flo: elephant demonstrations; Genie: ball juggling
Kyle: clowning; Flo: dunking; Genie: elephant demonstrations; Kyle: ball juggling; Flo: acrobatics; Genie: fire twirling
This is a sequence and matching game. The following are deductions we can make from the list of conditions (and thus are added to those conditions to guide our handling of the questions):
Kyle must perform first because Flo is eliminated from the first slot by virtue of an explicit rule and Flo must go before Genie by virtue of an explicit rule, (which means Genie can't go first, as well).
Flo must do acrobatics because neither Kyle nor Genie can do it.
If we go rule by rule, including these new rules we have deduced, and apply each of them one by one to the answer choices, we can eliminate all but the credited response.
Example Question #74 : Two Variable
Three circus performers—Flo, Genie, and Kyle—will perform the following six circus acts: acrobatics; ball juggling; clowning; dunking; elephant demonstrations; fire twirling. Each act is performed only once in any given show, and only one act is performed at a time. The following conditions dictate the sequencing of these acts:
- Flo performs exactly one act before Genie performs any of her acts
- Flo does not perform first and he does not perform last
- Genie does not do acrobatics and ball juggling
- Kyle does not do acrobatics and elephant demonstrations
- Ball juggling is performed immediately after the elephant demonstrations
Which of the following must be true?
Genie does clowning.
Flo does elephant demonstrations.
Flo does ball juggling.
Genie does fire twirling.
Flo does acrobatics.
Flo does acrobatics.
Because neither Genie nor Kyle can do acrobatics, by virtue of explicit rules, the only performer left to do acrobatics is Flo.
Example Question #75 : Two Variable
Three circus performers—Flo, Genie, and Kyle—will perform the following six circus acts: acrobatics; ball juggling; clowning; dunking; elephant demonstrations; fire twirling. Each act is performed only once in any given show, and only one act is performed at a time. The following conditions dictate the sequencing of these acts:
- Flo performs exactly one act before Genie performs any of her acts
- Flo does not perform first and he does not perform last
- Genie does not do acrobatics and ball juggling
- Kyle does not do acrobatics and elephant demonstrations
- Ball juggling is performed immediately after the elephant demonstrations
If Kyle performs fourth in the circus show, then when could acrobatics be performed?
First
Third
Sixth
Fourth
Second
Second
Since Flo is the only one who does acrobatics, and Flo cannot go first, we can immediately eliminate "first" as an answer choice. Likewise, we can eliminate "sixth," since Flo can't go last. "Fourth" is also out since Kyle doesn't do acrobatics. "Second" is the only viable option because Flo must come before Genie, which means acrobatics is second.
Example Question #78 : Two Variable
Three circus performers—Flo, Genie, and Kyle—will perform the following six circus acts: acrobatics; ball juggling; clowning; dunking; elephant demonstrations; fire twirling. Each act is performed only once in any given show, and only one act is performed at a time. The following conditions dictate the sequencing of these acts:
- Flo performs exactly one act before Genie performs any of her acts
- Flo does not perform first and he does not perform last
- Genie does not do acrobatics and ball juggling
- Kyle does not do acrobatics and elephant demonstrations
- Ball juggling is performed immediately after the elephant demonstrations
If Genie does clowning immediately before Flo does elephant demonstrations, which one of the following must be true?
Kyle does fire twirling as first act.
Kyle performs sixth.
Flo does acrobatics as the second act.
Genie performs fourth.
Genie does dunking as the fifth act.
Flo does acrobatics as the second act.
We can deduce the following sequence: Kyle . . . Flo (acrobatics) . . . then :Genie (clowning); Flo (elephant demonstrations); Kyle (ball juggling)—the latter three forming a block.
Because Flo (acrobatics) must come before any act by Genie, it must come early in the sequence (earlier than the block of three—GFK). If Flo (acrobatics) does not occupy slot two, then the sequencing necessarily breaks down. That means Flo doing acrobatics must be the second act performed.
Example Question #79 : Two Variable
Three circus performers—Flo, Genie, and Kyle—will perform the following six circus acts: acrobatics; ball juggling; clowning; dunking; elephant demonstrations; fire twirling. Each act is performed only once in any given show, and only one act is performed at a time. The following conditions dictate the sequencing of these acts:
- Flo performs exactly one act before Genie performs any of her acts
- Flo does not perform first and he does not perform last
- Genie does not do acrobatics and ball juggling
- Kyle does not do acrobatics and elephant demonstrations
- Ball juggling is performed immediately after the elephant demonstrations
Which one of the following could be true?
Fire twirling is the first act performed.
Elephant demonstrations is the first act performed.
Acrobatics is the first act performed.
Ball juggling is the second act performed.
Elephant demonstrations is the last act performed.
Fire twirling is the first act performed.
Flo does acrobatics, so it cannot come first.
For ball juggling to go second, elephant demonstrations would have to first. But elephant demonstrations can't go first because Kyle must go first and he doesn't do elephant demonstrations.
Finally, elephant demonstrations can't go last because ball juggling must follow.
Consequently, the only option left is fire twirling going first---and that is the credited response.
Example Question #81 : Two Variable
Three circus performers—Flo, Genie, and Kyle—will perform the following six circus acts: acrobatics; ball juggling; clowning; dunking; elephant demonstrations; fire twirling. Each act is performed only once in any given show, and only one act is performed at a time. The following conditions dictate the sequencing of these acts:
- Flo performs exactly one act before Genie performs any of her acts
- Flo does not perform first and he does not perform last
- Genie does not do acrobatics and ball juggling
- Kyle does not do acrobatics and elephant demonstrations
- Ball juggling is performed immediately after the elephant demonstrations
If Kyle performs last, then which of the following must be true?
Genie performs second.
Flo does ball juggling.
Genie performs some time after Kyle and Flo.
Genie performs immediately after Kyle.
Genie does elephant demonstrations immediately before Kyle performs.
Genie performs some time after Kyle and Flo.
This question calls for an answer that reflects what must happen, not what could happen. We know that Kyle must go first, so Kyle occupies slots 1 and 6. We know that Flo must go before Genie performs her first act. So Genie cannot occupy slot 2. That means Genie must perform after some time after Kyle and Flo, which is the credited response.
Example Question #81 : Two Variable
Exactly five men—Adam, Ben, Carlos, David, and Eric—and five women—Liza, Michelle, Nicole, Olivia, and Patricia—are scheduled to take ballroom dance classes. There is one class offered each day—Monday, Tuesday, Wednesday, Thursday, and Friday—for a total of five classes. Every class has exactly one man and one woman. Every person participates in exactly one class with the following conditions:
Ben dances one day before Olivia.
Carlos and Nicole attend class on the same day.
Adam dances on Friday.
There is exactly one day between the days Ben and Carlos dance.
If Carlos dances on Monday, what must be true?
Nicole dances on Wednesday.
Michelle dances on Thursday.
Olivia dances on Thursday.
Ben dances on Tuesday.
Eric dances on Tuesday.
Olivia dances on Thursday.
If Carlos dances on Monday, then Ben dances on Wednesday. Since Olivia dances one day after Ben, she must dance on Thursday.
Example Question #83 : Two Variable
Exactly five men—Adam, Ben, Carlos, David, and Eric—and five women—Liza, Michelle, Nicole, Olivia, and Patricia—are scheduled to take ballroom dance classes. There is one class offered each day—Monday, Tuesday, Wednesday, Thursday, and Friday—for a total of five classes. Every class has exactly one man and one woman. Every person participates in exactly one class with the following conditions:
Ben dances one day before Olivia.
Carlos and Nicole attend class on the same day.
Adam dances on Friday.
There is exactly one day between the days Ben and Carlos dance.
Which is a possible and accurate order in which the women dance during the week starting with Monday?
Michelle, Olivia, Nicole, Patricia, and Liza
Nicole, Michelle, Patricia, Liza, and Olivia
Patricia, Nicole, Olivia, Liza, and Michelle
Michelle, Olivia, Patricia, Liza, and Nicole
Olivia, Michelle, Nicole, Patricia, and Liza
Michelle, Olivia, Nicole, Patricia, and Liza
The key is to figure out where Olivia and Nicole can go based on where Carlos and Ben can be placed with one day in between them. For example:
The men being ordered B __ C __ A means the women would be ordered __ O N __ __
Additionally, Olivia and Nicole could be placed as follows:
__ __ O N __
__ N __ __ O
N __ __ O __
Using this information, one finds only the correct answer conforms to one of these placement patterns.
All LSAT Logic Games Resources
