LSAT Logic Games : Linear Games
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
Example Question #34 : Solving Two Variable Logic Games
A car dealership is displaying vehicles in its showroom. The dealership will select six vehicles from seven models: A, B, C, D, E, F, and G. Models A and B are trucks and all other models are cars. The vehicles must be displayed in the showroom in a row according to the following conditions:
If C is displayed, then both trucks also must be displayed
E always must be displayed first or last
If both D and F are displayed, there must be exactly two vehicles after D and before F
A and B cannot be next to each other
If the rules are modified so that A and B must be displayed next to each other, and if A is displayed second and G is not displayed, which of the following must be true?
C is displayed fifth
B is displayed first
E is displayed first
F is displayed sixth
D is displayed third
C is displayed fifth
Under these conditions, there is only one possible arrangement. Since E must be first or last and B must be adjacent to A, there only can be two cars between D and F if D is first and F fourth. B must be third, which leaves only the fifth spot available for C.
Example Question #35 : Solving Two Variable Logic Games
Four roommates – Aaron, Brad, Clark, and Dave – are deciding how to schedule their delivery laundry service for the week. They must all set one pickup day and one delivery day between Monday and Saturday. There may be only one pickup and one delivery that occur each day, subject to the following conditions:
A pickup day cannot be scheduled on Wednesday.
A delivery day cannot be scheduled on Tuesday.
There must be exactly two days in-between Aaron’s pickup day and his delivery day.
Brad’s delivery day must be scheduled before Thursday.
Clark’s delivery day must be scheduled before Dave’s pickup day.
Which one of the following could be an accurate list of the pickup and delivery days scheduled for the week?
Monday: Aaron (Pickup), Aaron (Delivery);
Tuesday: Brad (Pickup), Brad (Delivery);
Wednesday: Aaron (Delivery);
Friday: Clark (Pickup), Clark (Delivery);
Saturday: Dave (Pickup), Dave (Delivery).
Monday: Brad (Pickup);
Tuesday: Aaron (Pickup), Brad (Delivery);
Thursday: Clark (Pickup), Clark (Delivery);
Friday: Dave (Pickup), Aaron (Delivery);
Saturday: Dave (Delivery).
Monday: Aaron (Pickup);
Tuesday: Brad (Pickup);
Wednesday: Brad (Pickup);
Thursday: Dave (Pickup), Aaron (Delivery);
Friday: Clark (Pickup), Clark (Delivery);
Saturday: Dave (Delivery).
Monday: Aaron (Pickup);
Tuesday: Brad (Pickup);
Wednesday: Brad (Delivery);
Thursday: Clark (Pickup), Aaron (Delivery);
Friday: Clark (Delivery);
Saturday: Dave (Pickup), Dave (Delivery).
Monday: Brad (Pickup);
Tuesday: Aaron (Pickup);
Wednesday: Brad (Delivery);
Thursday: Clark (Pickup), Aaron (Delivery);
Friday: Dave (Pickup), Dave (Delivery);
Saturday: Clark (Delivery).
Monday: Aaron (Pickup);
Tuesday: Brad (Pickup);
Wednesday: Brad (Delivery);
Thursday: Clark (Pickup), Aaron (Delivery);
Friday: Clark (Delivery);
Saturday: Dave (Pickup), Dave (Delivery).
The incorrect answers all violate at least one of the stated rules:
Monday: Brad (Pickup);
Tuesday: Aaron (Pickup), Brad (Delivery);
Thursday: Clark (Pickup), Clark (Delivery);
Friday: Dave (Pickup), Aaron (Delivery);
Saturday: Dave (Delivery).
Tuesday cannot have a delivery day scheduled.
Monday: Aaron (Pickup);
Tuesday: Brad (Pickup);
Wednesday: Brad (Pickup);
Thursday: Dave (Pickup), Aaron (Delivery);
Friday: Clark (Pickup), Clark (Delivery);
Saturday: Dave (Delivery).
Wednesday cannot have a pickup day scheduled.
Monday: Aaron (Pickup), Aaron (Delivery);
Tuesday: Brad (Pickup), Brad (Delivery);
Wednesday: Aaron (Delivery);
Friday: Clark (Pickup), Clark (Delivery);
Saturday: Dave (Pickup), Dave (Delivery).
Aaron must have exactly two days in-between his pickup and delivery days.
Monday: Brad (Pickup);
Tuesday: Aaron (Pickup);
Wednesday: Brad (Delivery);
Thursday: Clark (Pickup), Aaron (Delivery);
Friday: Dave (Pickup), Dave (Delivery);
Saturday: Clark (Delivery).
Clark's delivery day must be scheduled before Dave's pickup day.
The correct answer violates none of the stated rules.
Example Question #36 : Solving Two Variable Logic Games
Four roommates – Aaron, Brad, Clark, and Dave – are deciding how to schedule their delivery laundry service for the week. They must all set one pickup day and one delivery day between Monday and Saturday. There may be only one pickup and one delivery that occur each day, subject to the following conditions:
A pickup day cannot be scheduled on Wednesday.
A delivery day cannot be scheduled on Tuesday.
There must be exactly two days in-between Aaron’s pickup day and his delivery day.
Brad’s delivery day must be scheduled before Thursday.
Clark’s delivery day must be scheduled before Dave’s pickup day.
Which one of the following must be true?
Brad’s delivery day is on Wednesday.
Dave’s delivery day is on Saturday.
Chris’ delivery day is on Friday.
Aaron’s pickup day is on Tuesday.
Brad’s pickup day is on Monday.
Dave’s delivery day is on Saturday.
The correct answer must be true in all scenarios. There are only two scenarios that can be constructed around the number of positions Aaron's pickup and delivery days can be created:
Monday: Aaron (Pickup);
Tuesday: Brad (Pickup);
Wednesday: Brad (Delivery);
Thursday: Aaron (Delivery);
Friday: Chris (Delivery);
Saturday: Dave (Delivery).
Chris' pickup day can be on either Thursday or Friday and Dave's pickup day can be on either Friday or Saturday and still satisfy all the conditions.
Monday: Brad (Pickup);
Tuesday: Aaron (Pickup);
Thursday: Chris (Pickup), Chris (Delivery);
Friday: Aaron (Delivery);
Saturday: Dave (Delivery).
Brad's delivery day can be on either Monday or Wednesday and Dave's pickup day can be on either Friday or Saturday and still satisfy all the conditions.
As seen, Dave's delivery deal must be on Saturday in all the possible scenarios. The remainder of the answers do not necessarily have to be true in all scenarios.
Example Question #37 : Solving Two Variable Logic Games
Four roommates – Aaron, Brad, Clark, and Dave – are deciding how to schedule their delivery laundry service for the week. They must all set one pickup day and one delivery day between Monday and Saturday. There may be only one pickup and one delivery that occur each day, subject to the following conditions:
A pickup day cannot be scheduled on Wednesday.
A delivery day cannot be scheduled on Tuesday.
There must be exactly two days in-between Aaron’s pickup day and his delivery day.
Brad’s delivery day must be scheduled before Thursday.
Clark’s delivery day must be scheduled before Dave’s pickup day.
If Brad’s delivery day is on Monday, how many of the days’ schedules are completely determined?
Three
One
Five
Two
Four
Four
If Brad's delivery day is on Monday, it produces the following scenario:
Monday: Brad (Pickup), Brad (Delivery);
Tuesday: Aaron (Pickup);
Thursday: Chris (Pickup), Chris (Delivery);
Friday: Aaron (Delivery);
Saturday: Dave (Delivery).
Since Dave's pickup day can be held on either Friday or Saturday, it means that four of the six days are completely determined.
Example Question #38 : Solving Two Variable Logic Games
Four roommates – Aaron, Brad, Clark, and Dave – are deciding how to schedule their delivery laundry service for the week. They must all set one pickup day and one delivery day between Monday and Saturday. There may be only one pickup and one delivery that occur each day, subject to the following conditions:
A pickup day cannot be scheduled on Wednesday.
A delivery day cannot be scheduled on Tuesday.
There must be exactly two days in-between Aaron’s pickup day and his delivery day.
Brad’s delivery day must be scheduled before Thursday.
Clark’s delivery day must be scheduled before Dave’s pickup day.
Which one of the following is a complete and accurate list of the days on which Brad can have his laundry picked up?
Monday, Friday, Saturday
Monday, Tuesday, Thursday
Monday, Tuesday
Monday
Tuesday, Thursday
Monday, Tuesday
Going off the two scenarios mentioned earlier:
Monday: Aaron (Pickup);
Tuesday: Brad (Pickup);
Wednesday: Brad (Delivery);
Thursday: Aaron (Delivery);
Friday: Chris (Delivery);
Saturday: Dave (Delivery).
Chris' pickup day can be on either Thursday or Friday and Dave's pickup day can be on either Friday or Saturday and still satisfy all the conditions.
Monday: Brad (Pickup);
Tuesday: Aaron (Pickup);
Thursday: Chris (Pickup), Chris (Delivery);
Friday: Aaron (Delivery);
Saturday: Dave (Delivery).
Brad's delivery day can be on either Monday or Wednesday and Dave's pickup day can be on either Friday or Saturday and still satisfy all the conditions.
As seen in the scenarios presented, Brad's pickup day can only be on Monday or Tuesday.
Example Question #39 : Solving Two Variable Logic Games
Four roommates – Aaron, Brad, Clark, and Dave – are deciding how to schedule their delivery laundry service for the week. They must all set one pickup day and one delivery day between Monday and Saturday. There may be only one pickup and one delivery that occur each day, subject to the following conditions:
A pickup day cannot be scheduled on Wednesday.
A delivery day cannot be scheduled on Tuesday.
There must be exactly two days in-between Aaron’s pickup day and his delivery day.
Brad’s delivery day must be scheduled before Thursday.
Clark’s delivery day must be scheduled before Dave’s pickup day.
If Aaron’s delivery day is on Thursday, which of the following must be false?
Brad’s delivery day is on Monday.
Clark’s pickup day is on Friday.
Dave’s pickup day is on Friday.
Clark’s pickup day is on Thursday.
Aaron’s pickup day is on Monday.
Brad’s delivery day is on Monday.
A Thursday delivery day for Aaron forces the following scenario:
Monday: Aaron (Pickup);
Tuesday: Brad (Pickup);
Wednesday: Brad (Delivery);
Thursday: Aaron (Delivery);
Friday: Chris (Delivery);
Saturday: Dave (Delivery).
Chris' pickup day can be on either Thursday or Friday and Dave's pickup day can be on either Friday or Saturday and still satisfy all the conditions.
As a result, there cannot be a scenario in which Brad has a delivery day on Monday, making it the correct answer.
Example Question #40 : Solving Two Variable Logic Games
Four roommates – Aaron, Brad, Clark, and Dave – are deciding how to schedule their delivery laundry service for the week. They must all set one pickup day and one delivery day between Monday and Saturday. There may be only one pickup and one delivery that occur each day, subject to the following conditions:
A pickup day cannot be scheduled on Wednesday.
A delivery day cannot be scheduled on Tuesday.
There must be exactly two days in-between Aaron’s pickup day and his delivery day.
Brad’s delivery day must be scheduled before Thursday.
Clark’s delivery day must be scheduled before Dave’s pickup day.
If Aaron’s pickup day is on Monday, which of the following is a day without a delivery scheduled?
Friday
Monday
Wednesday
Thursday
Saturday
Monday
Aaron having a pickup day on Monday forces the following scenario:
Monday: Aaron (Pickup);
Tuesday: Brad (Pickup);
Wednesday: Brad (Delivery);
Thursday: Aaron (Delivery);
Friday: Chris (Delivery);
Saturday: Dave (Delivery).
Chris' pickup day can be on either Thursday or Friday and Dave's pickup day can be on either Friday or Saturday and still satisfy all the conditions.
As seen, Monday has no delivery scheduled.
Example Question #41 : Two Variable
A barista has seven boxes of tea and coffee of varying types, which she places in a line behind the counter. There are four types of coffee: Colombian, Dark, Espresso, and French. There are three types of tea: Green, Herbal, and Vanilla. The following rules apply:
A box of tea must be fifth
No tea may be placed next to another tea
Herbal may not be next to either Colombian or Espresso
At least two boxes must be between Colombian and Dark
Which of the following could be the order of the boxes?
Green, French, Herbal, Dark, Vanilla, Colombian, Espresso
Vanilla, Colombian, Green, Espresso, Herbal, Dark, French
Espresso, Vanilla, Colombian, Green, Herbal, Dark, French
Green, French, Herbal, Dark, Espresso, Vanilla, Colombian
Green, French, Herbal, Dark, Vanilla, Espresso, Colombian
Green, French, Herbal, Dark, Vanilla, Espresso, Colombian
Each incorrect answer violates one or more of the rules. Carefully apply the rules to eliminate the incorrect answers.
Example Question #42 : Two Variable
A barista has seven boxes of tea and coffee of varying types, which she places in a line behind the counter. There are four types of coffee: Colombian, Dark, Espresso, and French. There are three types of tea: Green, Herbal, and Vanilla. The following rules apply:
A box of tea must be fifth
No tea may be placed next to another tea
Herbal may not be next to either Colombian or Espresso
At least two boxes must be between Colombian and Dark
Which of the following cannot be true?
Coffee is third and fourth
Two boxes of coffee are next to each other
Tea is both first and last
Coffee is both first and sixth
Coffee is both first and last
Coffee is both first and last
If coffee were first and last, then two boxes of tea would need to be next to each other. Since one box would need to be fifth and since we could not put tea first or seventh, there is no way to separate all the boxes of tea.
Example Question #43 : Two Variable
A barista has seven boxes of tea and coffee of varying types, which she places in a line behind the counter. There are four types of coffee: Colombian, Dark, Espresso, and French. There are three types of tea: Green, Herbal, and Vanilla. The following rules apply:
A box of tea must be fifth
No tea may be placed next to another tea
Herbal may not be next to either Colombian or Espresso
At least two boxes must be between Colombian and Dark
When Herbal is third, which of the following must be true?
When Dark is fourth, Espresso is seventh
When Dark is fourth, Colombian is first
When Colombian is first, French is second
Green is fifth
When Colombian is seventh, French is second
When Colombian is first, French is second
First, you must notice that Dark Coffee and French Coffee always must be on either side of Herbal when Herbal is not first or last. Otherwise, Herbal would need to be next to another tea, Colombian, or Espresso. If Colombian is first, then there can only be two boxes between Colombian and Dark if French is second and Dark is fourth.
All LSAT Logic Games Resources
