LSAT Logic Games : Solving grouping games

Study concepts, example questions & explanations for LSAT Logic Games

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Example Questions

Example Question #41 : Solving Grouping Games

 

Four children and four adults attend a baseball game and sit in two sections. At least three members of the group must sit in each section--prime seating and the bleachers.  The adults were Matthew, Nora, Olga, and Peter.  The children were Sara, Tania, Ulric, and Victor. The following rules apply:

There must be at least one adult in each section

Nora and Sara cannot sit in the same section

Nora and Ulric must sit in the same section

Matthew must sit in the prime section

If Peter, Ulric, and Olga sit in the same section, which of the following must be true?

Possible Answers:

Nora sits in the prime section

Sara sits in the prime section

Olga sits in the prime section

Victor sits in the bleacher section

Matthew sits in the bleacher section

Correct answer:

Sara sits in the prime section

Explanation:

If those three people sit together, then Nora must also sit with them in order to be in the same section as Ulric.  The only remaining adult is Matthew who must sit in the prime section.  In order for there to be an adult in both sections, Peter, Olga, Nora, and Ulric must sit in the bleachers.  Sara must sit in the prime section to be separated from Nora and because at least three people must be in that section.

Example Question #42 : Solving Grouping Games

 

Four children and four adults attend a baseball game and sit in two sections. At least three members of the group must sit in each section--prime seating and the bleachers.  The adults were Matthew, Nora, Olga, and Peter.  The children were Sara, Tania, Ulric, and Victor. The following rules apply:

There must be at least one adult in each section

Nora and Sara cannot sit in the same section

Nora and Ulric must sit in the same section

Matthew must sit in the prime section

If the rules are changed so that there must be two adults and exactly four people in each section, which of the following could not be true?

Possible Answers:

Olga sits with Ulric and victor

Matthew sits with Ulric and Nora

Tania sits with Sara and Olga

Tania sits with Nora and Victor

Peter sits with Tania and Sara

Correct answer:

Tania sits with Nora and Victor

Explanation:

If Tania sits with Nora and Victor, then Ulric must sit in the same section.  This cannot be the case because all four seats would be taken but there would be only one adult.

Example Question #43 : Solving Grouping Games

A landscaper is deciding which flowers to plant in a client's yard. The flowers available are Hydrangeas, Irises, Jasmine, Kingcups, Lilacs, Marigolds and Oleander. His choice must conform to the following restrictions:

If he does not choose Jasmine, he must choose Hydrangea

If he chooses Marigold, he must also choose Oleander

If he chooses Iris, he cannot choose Hydrangea

He cannot choose Kingcup unless he chooses Iris

If he chooses Lilac, he must also choose Kingcup

 

If Kingcup is not selected, each of the following could be an accurate list of the other flowers not selected EXCEPT:

Possible Answers:

Lilac, Iris, Marigold

Lilac, Iris, Marigold, Oleander

Lilac, Iris, Marigold, Oleaner, Jasmine

Lilac, Iris

Lilac, Iris, Oleander

Correct answer:

Lilac, Iris, Oleander

Explanation:

The correct answer (Lilac, Iris, Oleander) would leave Hydrangea, Jasmine and Marigold as the chosen flowers. If Marigold is chosen, Oleander must also be chosen, which makes this the only scenario that doesn't work. The rest of the scenarios yield the following possible options: Hyrangea; Hydrangea, Jasmine; Hydrangea, Jasmine, Oleander; Hydrangea, Jamsine, Marigold, Oleander.

Example Question #41 : Grouping Games

A landscaper is deciding which flowers to plant in a client's yard. The flowers available are Hydrangeas, Irises, Jasmine, Kingcups, Lilacs, Marigolds and Oleander. His choice must conform to the following restrictions:

If he does not choose Jasmine, he must choose Hydrangea

If he chooses Marigold, he must also choose Oleander

If he chooses Iris, he cannot choose Hydrangea

He cannot choose Kingcup unless he chooses Iris

If he chooses Lilac, he must also choose Kingcup

 

Which of the following must be true?

Possible Answers:

Jasmine must always be selected

If Iris is selected, Jasmine must also be selected

A minimum of two flowers must be selected

If Oleander is selected, Marigold must also be selected

If Kingcup is selected, Lilac must also be selected

Correct answer:

If Iris is selected, Jasmine must also be selected

Explanation:

When Iris is selected, Hydrangea cannot be selected. Since we must always have at least one or the other of Hydrangea and Jasmine, Jasmine must always be selected when Iris is. Two of the incorrect answers (regarding Oleander and Marigold and regarding Kingcup and Lilac) are mistaken reversals. Jasmine doesn't always have to be selected - as long as Hydrangea is selected Jamsine does not have to be. And there is no minimum number of flowers, we could easily have only one flower selected.

Example Question #44 : Solving Grouping Games

Each of seven baseball players—G, H, K, L, M, N, and O—will be placed on the active roster for one of two teams, the Angels and the Reds. The following conditions govern the roster with respect to these players.

If G is on the roster for the Angels, then H will play for the Reds.

If K plays for the Angels, then L and M will play for the Reds.

N plays on a different team than O.

M plays on a different team than G.

If O plays for the Angels, then H will also play for the Angels.

Which one of the following could be a complete and accurate list of who among these seven players are on the Angels roster?

Possible Answers:

L, M, N

G, H, L, N

G, K, O

H, L, O

H, M, N, O

Correct answer:

L, M, N

Explanation:


A violates the condition that G and H can’t both be on the Angels roster.

B violates the condition that if O plays for the Angels, then H must also play for the Angels. H is missing.

C violates the condition that M and G must be on different teams—this roster forces M and G onto the Reds roster.

D violates the condition that N and O can’t be on the same team.

Example Question #45 : Solving Grouping Games

Each of seven baseball players—G, H, K, L, M, N, and O—will be placed on the active roster for one of two teams, the Angels and the Reds. The following conditions govern the roster with respect to these players.

If G is on the roster for the Angels, then H will play for the Reds.

If K plays for the Angels, then L and M will play for the Reds.

N plays on a different team than O.

M plays on a different team than G.

If O plays for the Angels, then H will also play for the Angels.

Which one of the following pairs of players CANNOT both play for the Reds?

Possible Answers:

L and M

G and H

H and N

G and N

L and N

Correct answer:

H and N

Explanation:

If N plays for the Reds, then O must play for the Angels (N and O can’t be on the same team). But if O plays for the Angles, then H must also play for the Angels. So H can’t be with N on the Reds.

Example Question #46 : Solving Grouping Games

Mr. Anderson, Mr. Baxter, Ms. Coleman, Mr. Dornan, and Ms. Ellington teach at Glendale High School.  The subjects taught there are biology, chemistry, English, geography, and math.  Each teacher teaches one subject.  Mr. Dornan does not teach English.  The science classes are taught by Mr. Anderson and Ms. Ellington.  Mr. Baxter teaches geography.

Which class does Mr. Dornan teach?

Possible Answers:

Geography

Biology

Chemistry

English

Math

Correct answer:

Math

Explanation:

Geography is taught by Mr. Baxter.  Biology and chemistry are taught by Mr. Anderson and Ms. Ellington.  Mr. Dornan does not teach English.  The only subject left is math.

Example Question #47 : Solving Grouping Games

Mr. Anderson, Mr. Baxter, Ms. Coleman, Mr. Dornan, and Ms. Ellington teach at Glendale High School.  The subjects taught there are biology, chemistry, English, geography, and math.  Each teacher teaches one subject.  Mr. Dornan does not teach English.  The science classes are taught by Mr. Anderson and Ms. Ellington.  Mr. Baxter teaches geography.

Which class does Ms. Coleman teach?

Possible Answers:

Math

Chemistry

English

Biology

Geography

Correct answer:

English

Explanation:

Geography is taught by Mr. Baxter.  Biology and chemistry are taught by Mr. Anderson and Ms. Ellington.  That leaves English and math for Ms. Coleman and Mr. Dornan.  Mr. Dornan doesn't like math.  Therefore Ms. Coleman teaches English.

Example Question #48 : Solving Grouping Games

Mr. Anderson, Mr. Baxter, Ms. Coleman, Mr. Dornan, and Ms. Ellington teach at Glendale High School.  The subjects taught there are biology, chemistry, English, geography, and math.  Each teacher teaches one subject.  Mr. Dornan does not teach English.  The science classes are taught by Mr. Anderson and Ms. Ellington.  Mr. Baxter teaches geography.

Which class could Ms. Ellington teach?

Possible Answers:

English

Math

Geography

None of the above answers

Biology

Correct answer:

Biology

Explanation:

Mr. Anderson and Ms. Ellington teach the two sciences.  Chemistry is not listed.  Biology is the only subject listed she could teach.

Example Question #41 : Grouping Games

Mr. Anderson, Mr. Baxter, Ms. Coleman, Mr. Dornan, and Ms. Ellington teach at Glendale High School.  The subjects taught there are biology, chemistry, English, geography, and math.  Each teacher teaches one subject.  Mr. Dornan does not teach English.  The science classes are taught by Mr. Anderson and Ms. Ellington.  Mr. Baxter teaches geography.

Which is a possible arrangement of teachers and subjects?

Possible Answers:

Mr. Anderson teaches biology, Mr. Baxter teaches geography, Ms. Coleman teaches chemistry, Mr. Dornan teaches math, and Ms. Ellington teaches English.

Mr. Anderson teaches English, Mr. Baxter teaches biology, Ms. Coleman teaches chemistry, Mr. Dornan teaches geography, and Ms. Ellington teaches math.

Mr. Anderson teaches biology, Mr. Baxter teaches geography, Ms. Coleman teaches English, Mr. Dornan teaches math, and Ms. Ellington teaches chemistry.

Mr. Anderson teaches biology, Mr. Baxter teaches geography, Ms. Coleman teaches math, Mr. Dornan teaches English, and Ms. Ellington teaches chemistry.

Mr. Anderson teaches geography, Mr. Baxter teaches chemistry, Ms. Coleman teaches English, Mr. Dornan teaches math, and Ms. Ellington teaches biology.

Correct answer:

Mr. Anderson teaches biology, Mr. Baxter teaches geography, Ms. Coleman teaches English, Mr. Dornan teaches math, and Ms. Ellington teaches chemistry.

Explanation:

Mr. Baxter must teach geography.  Mr. Anderson and Ms. Ellington must teach biology and chemistry although not necessarily respectively.  That leaves English and math for Ms. Coleman and Mr. Dornan and since Mr. Dornan doesn't teach English, Ms. Coleman must teach English and Mr. Dornan must teach math.

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