LSAT-Section-3-Analytical-Reasoning Section Three : Analytical Reasoning - Practice Questions

Question 58

In a school, 9 students, Andrew, Bach, Caesar, Drew, Elena, Fischer, Grant, Hughes, and Ileana are selected to form 3 debate teams – Team A, Team B and Team C - to participate in interschool competitions. The following information is known:

Each team will have exactly 3 students and no student can be a part of more than one team

Caesar cannot be selected in Team A if Ileana is not selected in Team A as well

Andrew and Bach are in the same team and so are Elena and Grant

Andrew and Caesar are not in the same team

Bach and Ileana are not in the same team Drew and Elena are not in the same team

Which following pair of students can be in the same team?

Select an option, then click Submit answer.

○
Andrew and Caesar
○
Drew and Grant
○
Bach and Ileana
○
Andrew and Grant
○
Caesar and Grant

Reference / correct answer:

Caesar and Grant

Working with the options, we have:

Option [Andrew and Caesar]: We know from (iii) that A and C cannot be together – Incorrect

Option [Drew and Grant]: We know from (iv) that D and G cannot be together – Incorrect Option [Bach and Ileana]: We know from (iii) that B and I cannot be together – Incorrect

Option [Andrew and Grant]: We know from (i) and (ii) that A and B are together, and E and G are together. Thus, if A and G are together, the team would have 4 members, which is not possible – Incorrect

Option [Caesar and Grant]: From the given conditions, there is no contradiction if C and G are together – Correct

General

Let us name the people Andrew, Bach, Caesar, Drew, Elena, Fischer, Grant, Hughes, and Ileana as A, B, C, D, E, F, G, H, and I.

From the 1st statement: There are equal number of members in each team, thus, each team has 3 members.

From the 3rd statement:

A and B are in the same team => (A, B) … (i)

E and G are in the same team => (E, G) … (ii)

From the 4th and 5th statements: C and I cannot be with A and B: (A, B, C, I) … (iii)

From the 6th statement and (ii): D and E cannot be together: (E, G, D) … (iv)

From the 2nd statement: If Ileana is not selected in Team A, Caesar cannot be selected in Team A.

Thus, we have:

(I ≠ Team A) => (C ≠ Team A) … (v)

(C = Team A) => (I = Team A) … (vi) – Note: This is the contra-positive of (v)

From the information given in the stem, we can only make the above conclusions. The exact team members of the three teams cannot be uniquely determined as of now. Hence, to answer the questions, we would need to use the additional information given in the questions.

Question 59

In a school, 9 students, Andrew, Bach, Caesar, Drew, Elena, Fischer, Grant, Hughes, and Ileana are selected to form 3 debate teams – Team A, Team B and Team C - to participate in interschool competitions. The following information is known:

Each team will have exactly 3 students and no student can be a part of more than one team

Caesar cannot be selected in Team A if Ileana is not selected in Team A as well

Andrew and Bach are in the same team and so are Elena and Grant

Andrew and Caesar are not in the same team

Bach and Ileana are not in the same team Drew and Elena are not in the same team

Which following pair of students cannot be in the same team?

Select an option, then click Submit answer.

○
Bach and Elena
○
Fischer and Ileana
○
Bach and Fischer
○
Fischer and Grant
○
Elena and Hughes

Reference / correct answer:

Bach and Elena

Working with the options, we have:

Option [Bach and Elena]: We know from (i) and (ii) that A and B are together, and E and G are together. Thus, if B and E are together, the team would have 4 members, which is not possible – Correct

Though we have the correct answer, let us analyze why the other options are incorrect.

Options [Fischer and Ileana], [Bach and Fischer], [Fischer and Grant]: Each of these options involves F, with whom there are no conditions mentioned. Thus, F could be with I, B, or G.

Option [Elena and Hughes]: There are no conditions mentioned for H, thus, he can be with E.

General

Let us name the people Andrew, Bach, Caesar, Drew, Elena, Fischer, Grant, Hughes, and Ileana as A, B, C, D, E, F, G, H, and I.

From the 1st statement: There are equal number of members in each team, thus, each team has 3 members.

From the 3rd statement:

A and B are in the same team => (A, B) … (i)

E and G are in the same team => (E, G) … (ii)

From the 4th and 5th statements: C and I cannot be with A and B: (A, B, C, I) … (iii)

From the 6th statement and (ii): D and E cannot be together: (E, G, D) … (iv)

From the 2nd statement: If Ileana is not selected in Team A, Caesar cannot be selected in Team A.

Thus, we have:

(I ≠ Team A) => (C ≠ Team A) … (v)

(C = Team A) => (I = Team A) … (vi) – Note: This is the contra-positive of (v)

From the information given in the stem, we can only make the above conclusions. The exact team members of the three teams cannot be uniquely determined as of now. Hence, to answer the questions, we would need to use the additional information given in the questions.

Question 60

In a school, 9 students, Andrew, Bach, Caesar, Drew, Elena, Fischer, Grant, Hughes, and Ileana are selected to form 3 debate teams – Team A, Team B and Team C - to participate in interschool competitions. The following information is known:

Each team will have exactly 3 students and no student can be a part of more than one team

Caesar cannot be selected in Team A if Ileana is not selected in Team A as well

Andrew and Bach are in the same team and so are Elena and Grant

Andrew and Caesar are not in the same team

Bach and Ileana are not in the same team Drew and Elena are not in the same team

Which of the following could be the members of Team A?

Select an option, then click Submit answer.

○
Andrew, Bach, Elena
○
Andrew, Drew, Fischer
○
Caesar, Elena, Grant
○
Drew, Elena, Grant
○
Elena, Grant, Ileana

Reference / correct answer:

Elena, Grant, Ileana

Working with the options, we have:

Option [Andrew, Bach, Elena]: We know from (ii) that E and G must be together; however, G is missing here – Incorrect

Option [Andrew, Drew, Fischer]: We know from (i) that A and B must be together; however, B is missing here – Incorrect

Option [Caesar, Elena, Grant]: We know from (vi) that if C is in Team A, I must also be in Team A; however, I is missing here – Incorrect

Option [Drew, Elena, Grant]: We know from (iv) that D cannot be with E or G – Incorrect

Option [Elena, Grant, Ileana]: The condition that E and G must be together (from (ii)) is satisfied. Also, since C is not a part of Team A, I may or may not be a part of

Team A (thus, conditions (v) and (vi) are not contradicted) – Correct

General

Let us name the people Andrew, Bach, Caesar, Drew, Elena, Fischer, Grant, Hughes, and Ileana as A, B, C, D, E, F, G, H, and I.

From the 1st statement: There are equal number of members in each team, thus, each team has 3 members.

From the 3rd statement:

A and B are in the same team => (A, B) … (i)

E and G are in the same team => (E, G) … (ii)

From the 4th and 5th statements: C and I cannot be with A and B: (A, B, C, I) … (iii)

From the 6th statement and (ii): D and E cannot be together: (E, G, D) … (iv)

From the 2nd statement: If Ileana is not selected in Team A, Caesar cannot be selected in Team A.

Thus, we have:

(I ≠ Team A) => (C ≠ Team A) … (v)

(C = Team A) => (I = Team A) … (vi) – Note: This is the contra-positive of (v)

From the information given in the stem, we can only make the above conclusions. The exact team members of the three teams cannot be uniquely determined as of now. Hence, to answer the questions, we would need to use the additional information given in the questions.

LSAT-Section-3-Analytical-Reasoning – Section Three : Analytical Reasoning