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

Check A, C, F: A is selected and C is selected ✓ (A→C). B and D: neither is selected ✓. E and F: E not selected ✓. Valid committee.

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

Check P, T, U: R and S: neither present ✓. T is selected and P is selected ✓. Q is not selected and U is selected ✓. Valid selection.

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

The constraints given don't directly link N to M. N's placement depends on other assignments, and without additional information about where F, G, H, I, K, L are placed, N's team cannot be determined with certainty.

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

If A is selected, B must also be selected (A and B together or neither). H is not selected. That gives A, B and two more from C, D, E, F, G. Since C and D cannot both be selected, at most one of C or D is chosen. This doesn't force D to be excluded—but we need to verify if D must be excluded.

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

Check 1, 2, 4, 7, 8: Player 2 and 3: player 3 not present ✓. Player 1 starts, player 4 starts ✓. Players 7 and 8 both start ✓. Player 9 not present ✓. Valid lineup.

LSAT - Law School Admission Test Practice Test

LSAT - Law School Admission Test Practice Test

LSAT Logic Games: Grouping and Selection Games