LSAT Logic Games: Grouping and Selection Games

Question 1

A committee of 3 is selected from 7 candidates: A, B, C, D, E, F, G.
B and D cannot both be selected.
If A is selected, C must also be selected.
E cannot be selected with F.
Which of the following could be a complete and accurate committee?

Accepted Answer

A, C, F

Answer

A, B, E

Answer

A, C, D

Answer

B, C, F

Answer

D, E, G

Question 2

From 6 projects—P, Q, R, S, T, U—exactly 3 must be selected for funding. R and S cannot both be selected. T requires P to also be selected. If Q is not selected, U must be selected. Which of the following is an acceptable selection?

Accepted Answer

P, T, U

Answer

P, R, S

Answer

Q, R, T

Answer

Q, S, T

Answer

R, S, U

Question 3

Eight employees are divided into two teams of four: Team 1 and Team 2. F and G must be on the same team. H and I must be on different teams. J must be on Team 1. K and L must be on different teams. If M is on Team 1, which team is N on?

Accepted Answer

It cannot be determined from the given information.

Answer

Team 1, because N must follow M.

Answer

Team 2, because the teams would be unbalanced otherwise.

Answer

Team 2, because J, M, and the F-G pair or H or K/L on Team 1 force N to Team 2.

Answer

Team 1, because no constraint prevents N from joining M.

Question 4

A teacher selects 4 students from 8—A, B, C, D, E, F, G, H—for a project group. A and B must both be selected or neither is selected. C cannot be selected with D. E must be selected if G is selected. H is not selected. Which of the following must be true if A is selected?

Accepted Answer

D is not selected.

Answer

C is selected.

Answer

G is selected.

Answer

E is selected.

Answer

F is selected.

Question 5

A coach selects 5 players from 9—numbered 1 through 9—for a starting lineup. Player 2 and player 3 cannot both start. Player 4 must start if player 1 starts. Player 7 and player 8 must both start or neither starts. Player 9 does not start. Which of the following is an acceptable starting lineup?

Accepted Answer

1, 2, 4, 7, 8

Answer

1, 3, 4, 6, 7

Answer

2, 4, 5, 7, 8

Answer

1, 2, 3, 7, 8

Answer

3, 5, 6, 7, 8

Question 6

From 7 menu items—A, B, C, D, E, F, G—a restaurant selects exactly 3 for a daily special. C must be included if B is included. D and E cannot both be included. F is included only if G is included. A and G cannot both be included. Which of the following could be the daily special?

Accepted Answer

B, C, G

Answer

A, B, C

Answer

B, D, F

Answer

C, E, F

Answer

A, D, E

Question 7

Six volunteers are assigned to two committees—X and Y—with each volunteer on exactly one committee. Committee X must have 3 members. L and M must be on the same committee. N must be on Committee X. O cannot be on the same committee as P. Q is on Committee Y. Which of the following is a valid assignment?

Accepted Answer

Committee X: L, M, N; Committee Y: O, P, Q

Answer

Committee X: N, O, Q; Committee Y: L, M, P

Answer

Committee X: L, M, N; Committee Y: O, Q, P

Answer

Committee X: N, P, L; Committee Y: M, O, Q

Answer

Committee X: N, O, P; Committee Y: L, M, Q

Question 8

A hiring manager selects exactly 4 candidates from 8—F, G, H, I, J, K, L, M—for second-round interviews. K and L must both be selected or neither is. G cannot be selected if H is selected. If I is selected, J must also be selected. M is not selected. Which of the following is an acceptable selection?

Accepted Answer

F, H, K, L

Answer

F, G, I, J

Answer

G, H, I, J

Answer

I, J, K, L

Answer

F, G, H, K

Question 9

From 9 features—A through I—a software product includes exactly 5. B is included only if C is included. D and E cannot both be included. F requires both A and G to also be included. H is not included. I is not included. Which of the following must be true?

Accepted Answer

If F is included, G is included.

Answer

C is included.

Answer

A is included.

Answer

The product includes exactly one of D or E.

Answer

B is not included.

Question 10

A travel agency must select 3 destinations from 7—Paris, Rome, Tokyo, Sydney, Cairo, Nairobi, Lima—for a promotional package. Rome cannot be selected with Sydney. If Tokyo is selected, Nairobi must also be selected. Cairo is not selected. Paris and Lima cannot both be selected. Which of the following is an acceptable package?

Accepted Answer

Tokyo, Nairobi, Lima

Answer

Paris, Rome, Tokyo

Answer

Rome, Paris, Lima

Answer

Paris, Sydney, Nairobi

Answer

Tokyo, Nairobi, Sydney