LSAT Logic Games : Linear Games
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
Example Question #401 : Linear Games
Last week, Sara, Tony, Ulrich, Victor, and Wynne each saw La Traviata once at the opera house. The group divided up five tickets—one for the Thursday performance, one for the Friday performance, two for the Saturday performance, and one for the Sunday matinee—according to the following conditions:
- Neither Sara nor Victor attend Saturday performances
- If Wynne sees the opera before Victor, Wynne sees the first performance.
- Ulrich does not see a performance until Tony has also seen a performance.
Which of the following is a complete and accurate listing of the people who can attend the Thursday show?
Sara, Tony, Ulrich, Victor, Wynne
Sara, Tony, Ulrich, Wynne
Sara, Tony, Victor
Sara, Tony, Wynne
Sara, Tony, Victor, Wynne
Sara, Tony, Victor
Ulrich cannot see the first performance by the third rule in the problem. Neither can Wynne: if Wynne sees the Thursday show, there are only two non-Saturday tickets, which must be used by Sara and Victor. This leaves Ulrich and Tony to see the show at the same time, which violates this third rule again.
Example Question #402 : Linear Games
Last week, Sara, Tony, Ulrich, Victor, and Wynne each saw La Traviata once at the opera house. The group divided up five tickets—one for the Thursday performance, one for the Friday performance, two for the Saturday performance, and one for the Sunday matinee—according to the following conditions:
- Neither Sara nor Victor attend Saturday performances
- If Wynne sees the opera before Victor, Wynne sees the first performance.
- Ulrich does not see a performance until Tony has also seen a performance.
Which of the following is a complete and accurate listing of all of the shows that Victor can see?
Thursday, Friday, Saturday
Friday, Saturday
Thursday, Friday, Saturday, Sunday
Thursday, Friday
Thursday, Friday, Sunday
Thursday, Friday
We know that Wynne cannot see the Thursday show because it would leave Ulrich and Tony to see the opera at the same time. As a result, Wynne must always see the opera after Victor. Victor cannot attend the Saturday performance, nor can he attend Sunday if Wynne has to see the show after him. As a result, Victor can only see the Thursday or Friday shows.
Example Question #403 : Linear Games
Last week, Sara, Tony, Ulrich, Victor, and Wynne each saw La Traviata once at the opera house. The group divided up five tickets—one for the Thursday performance, one for the Friday performance, two for the Saturday performance, and one for the Sunday matinee—according to the following conditions:
- Neither Sara nor Victor attend Saturday performances
- If Wynne sees the opera before Victor, Wynne sees the first performance.
- Ulrich does not see a performance until Tony has also seen a performance.
If Tony sees the opera first, which of the following must be true?
Sarah sees the show before Victor.
Either Sarah or Victor could see the opera second.
Neither Victor nor Wynne see the Saturday show.
Wynne sees the show after Ulrich.
Sarah sees the show last.
Sarah sees the show last.
If Tony sees it first, there is only one possible order: T,V,UW,S
Example Question #404 : Linear Games
Last week, Sara, Tony, Ulrich, Victor, and Wynne each saw La Traviata once at the opera house. The group divided up five tickets—one for the Thursday performance, one for the Friday performance, two for the Saturday performance, and one for the Sunday matinee—according to the following conditions:
- Neither Sara nor Victor attend Saturday performances
- If Wynne sees the opera before Victor, Wynne sees the first performance.
- Ulrich does not see a performance until Tony has also seen a performance.
Which of the following would have the same effect as the rule that says if Wynne sees the opera before Victor, Wynne sees the first performance?
Sarah must see the opera either first or last.
Wynne must either see the Saturday or Sunday performance.
Ulrich must see the Saturday performance.
Victor must see the opera before Ulrich, and Wynne must see the Saturday performance.
Victor must see the Friday performance, and Wynne cannot see the last performance.
Victor must see the opera before Ulrich, and Wynne must see the Saturday performance.
There are only four total arrangements that satisfy the rules given. Only one of the options keeps the four arrangements as tickets as is.
Example Question #405 : Linear Games
Last week, Sara, Tony, Ulrich, Victor, and Wynne each saw La Traviata once at the opera house. The group divided up five tickets—one for the Thursday performance, one for the Friday performance, two for the Saturday performance, and one for the Sunday matinee—according to the following conditions:
- Neither Sara nor Victor attend Saturday performances
- If Wynne sees the opera before Victor, Wynne sees the first performance.
- Ulrich does not see a performance until Tony has also seen a performance.
How many total arrangements of tickets to people are there?
6
4
1
3
5
4
The only people who can see the first show are Tony, Sarah, and Victor. Of these initial choices, there is only one arrangement each if Tony or Sarah sees the first show, and two if Victor sees the first show.
Example Question #406 : Linear Games
Sarah is planting flowers in each of her three window boxes from the following varieties: Azaleas; Carnations; Daffodils; Gardenias; Marigolds; Petunias. She plans to plant two varieties of flowers in two of the boxes and three varieties in the third. She plants the flower seeds according to the following conditions:
- No flower variety may appear in all three window boxes, and up to one variety may be planted in two window boxes.
- If Petunias are planted with two other varieties, Sarah does not plant any Gardenias.
- Carnations may not be planted in the same window box as Daffodils.
- If Marigolds are not planted next to Azaleas, then the only place they must be planted is in the same box as two other flowers.
How many different types of flowers could be planted in a small window box next to Petunias?
Four
Three
One
Two
Five
Four
Carnations, Daffodils, Gardenias, and Azaleas may be planted with Petunias. Marigolds cannot in either case because they would either be in the large window box or with Azaleas.
Example Question #407 : Linear Games
Sarah is planting flowers in each of her three window boxes from the following varieties: Azaleas; Carnations; Daffodils; Gardenias; Marigolds; Petunias. She plans to plant two varieties of flowers in two of the boxes and three varieties in the third. She plants the flower seeds according to the following conditions:
- No flower variety may appear in all three window boxes, and up to one variety may be planted in two window boxes.
- If Petunias are planted with two other varieties, Sarah does not plant any Gardenias.
- Carnations may not be planted in the same window box as Daffodils.
- If Marigolds are not planted next to Azaleas, then the only place they must be planted is in the same box as two other flowers.
Each of the following could be true EXCEPT __________.
Carnations are planted in two different boxes.
Daffodils and Azaleas are planted together.
Petunias are planted in one box only.
Azaleas are planted in two different boxes.
Sarah does not plant any Gardenias.
Sarah does not plant any Gardenias.
Note that if Gardenias cannot be planted, there are not enough varieties to fill the boxes.
Example Question #408 : Linear Games
Sarah is planting flowers in each of her three window boxes from the following varieties: Azaleas; Carnations; Daffodils; Gardenias; Marigolds; Petunias. She plans to plant two varieties of flowers in two of the boxes and three varieties in the third. She plants the flower seeds according to the following conditions:
- No flower variety may appear in all three window boxes, and up to one variety may be planted in two window boxes.
- If Petunias are planted with two other varieties, Sarah does not plant any Gardenias.
- Carnations may not be planted in the same window box as Daffodils.
- If Marigolds are not planted next to Azaleas, then the only place they must be planted is in the same box as two other flowers.
Which one of the following could represent the locations of each flower Sarah planted?
Box 1:Petunias, Daffodils, Azaleas
Box 2: Marigolds, Gardenias
Box 3: Carnations, Marigolds
Box 1: Azaleas, Gardenias, Carnations
Box 2: Petunias, Daffodils
Box 3: Marigolds, Azaleas
Box 1: Azaleas, Marigolds, Carnations
Box 2: Carnations, Daffodils
Box 3: Gardenias, Azaleas
Box 1: Azaleas, Petunias, Carnations
Box 2: Marigolds, Azaleas
Box 3: Petunias, Daffodils
Box 1: Daffodils, Gardenias, Carnations
Box 2: Azaleas, Marigolds
Box 3: Petunias, Daffodils
Box 1: Azaleas, Gardenias, Carnations
Box 2: Petunias, Daffodils
Box 3: Marigolds, Azaleas
Only one option does not break one of the conditions. Notice that Petunias may not be planted in the large window box, and one variety must be planted in two boxes.
Example Question #409 : Linear Games
Sarah is planting flowers in each of her three window boxes from the following varieties: Azaleas; Carnations; Daffodils; Gardenias; Marigolds; Petunias. She plans to plant two varieties of flowers in two of the boxes and three varieties in the third. She plants the flower seeds according to the following conditions:
- No flower variety may appear in all three window boxes, and up to one variety may be planted in two window boxes.
- If Petunias are planted with two other varieties, Sarah does not plant any Gardenias.
- Carnations may not be planted in the same window box as Daffodils.
- If Marigolds are not planted next to Azaleas, then the only place they must be planted is in the same box as two other flowers.
Marigolds are planted in one of the two small window boxes, which of the following must be true?
Daffodils are planted in a small window box.
Carnations are planted in two window boxes.
Azaleas are planted in the large window box.
Gardenias are planted in a small window box.
Carnations are planted in a small window box.
Azaleas are planted in the large window box.
Either Carnations or Daffodils may fill one slot in the large window box, and the variety not planted in the large box is planted in the small window box. No neither statement regarding Carnations or Daffodils must be true; however, Azaleas must be planted in the large window box in this case.
Example Question #408 : Linear Games
Sarah is planting flowers in each of her three window boxes from the following varieties: Azaleas; Carnations; Daffodils; Gardenias; Marigolds; Petunias. She plans to plant two varieties of flowers in two of the boxes and three varieties in the third. She plants the flower seeds according to the following conditions:
- No flower variety may appear in all three window boxes, and up to one variety may be planted in two window boxes.
- If Petunias are planted with two other varieties, Sarah does not plant any Gardenias.
- Carnations may not be planted in the same window box as Daffodils.
- If Marigolds are not planted next to Azaleas, then the only place they must be planted is in the same box as two other flowers.
If Marigolds are NOT planted in the large window box, which of the following varieties could be planted in two different window boxes?
Gardenias
Marigolds
Carnations
Azaleas
Petunias
Azaleas
In this case, only one variety may be planted in two flower boxes, and that is Azaleas.
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