# LSAT Logic Games : Solving four- and five-variable logic games

## Example Questions

### Example Question #11 : Four & Five Variable

Five basketball players - Adams, Griffin, Jones, Smith, and Washington - were ranked in five statistical categories: points, rebounds, assists, steals, and blocks.  Each player was the leader in one category and there were no ties.  No other players were considered for the purpose of these rankings.  The rankings of the players met the following conditions:

Smith ranked higher in points than in rebounds.

Griffin had a better ranking in rebounds than in assists and steals.

Adams was not the highest point scorer.

Washington was ranked last in blocks.

Which of the following could represent the leader of each statistical category?

Adams in Points; Griffin in Rebounds; Jones in Assists; Smith in Blocks; Washington in Steals.

Adams in Steals; Griffin in Rebounds; Jones in Blocks; Smith in Rebounds; Washington in Points.

Adams in Rebounds; Griffin in Points; Jones in Steals; Smith in Assists; Washington in Blocks.

Adams in Rebounds; Griffin in Steals; Jones in Blocks; Smith in Points; Washington in Assists.

Adams in Blocks; Griffin in Rebounds; Jones in Assists; Smith in Points; Washington in Steals.

Adams in Blocks; Griffin in Rebounds; Jones in Assists; Smith in Points; Washington in Steals.

Explanation:

The correct answer is: Adams in Blocks; Griffin in Rebounds; Jones in Assists; Smith in Points; Washington in Steals.

The easiest way to get to the answer is through Process of Eimination.  If Smith is ranked higher in points than in rebounds, he cannot be the leader of rebounds because each player was the leader of only one category.  Similarly, Griffin cannot be the leader in assists or steals, Adams cannot be the leader in points, and Washington cannot be the leader in blocks.

Only one answer meets the conditions provided.

### Example Question #11 : Solving Four And Five Variable Logic Games

Five basketball players - Adams, Griffin, Jones, Smith, and Washington - were ranked in five statistical categories: points, rebounds, assists, steals, and blocks.  Each player was the leader in one category and there were no ties.  No other players were considered for the purpose of these rankings.  The rankings of the players met the following conditions:

Smith ranked higher in points than in rebounds.

Griffin had a better ranking in rebounds than in assists and steals.

Adams was not the highest point scorer.

Washington was ranked last in blocks.

Which category could any player potentially be the leader in?

Steals

Blocks

Assists

Rebounds

Explanation:

Each player was the leader of only one category.  Therefore, each listed category is connected to a player that cannot be the leader in that category.  Smith cannot be the leader in rebounds.  Griffin cannot be the leader in assists or steals.  Adams cannot be the leader in points.  Thus, the correct answer is "None of the other answers."

### Example Question #11 : Solving Four And Five Variable Logic Games

Five basketball players - Adams, Griffin, Jones, Smith, and Washington - were ranked in five statistical categories: points, rebounds, assists, steals, and blocks.  Each player was the leader in one category and there were no ties.  No other players were considered for the purpose of these rankings.  The rankings of the players met the following conditions:

Smith ranked higher in points than in rebounds.

Griffin had a better ranking in rebounds than in assists and steals.

Adams was not the highest point scorer.

Washington was ranked last in blocks.

Which player could be the leader in potentially any category?

Griffin

Jones

Washington

Smith

Jones

Explanation:

Each player is the leader of one category.  Smith ranked higher in points than in rebounds.  Therefore, Smith cannot be hte leader in rebounds.  Griffin ranked higher in rebounds than in assists and steals.  Therefore, Griffin cannot be the leader in assists or steals.  Adams was not the highest point scorer.  Therefore, Adams cannot be the leader in points.  Washington ranked last in blocks.  Therefore, Washington cannot be the leader in blocks.  Thus, the correct answer is Jones.

### Example Question #11 : Solving Four And Five Variable Logic Games

Five basketball players - Adams, Griffin, Jones, Smith, and Washington - were ranked in five statistical categories: points, rebounds, assists, steals, and blocks.  Each player was the leader in one category and there were no ties.  No other players were considered for the purpose of these rankings.  The rankings of the players met the following conditions:

Smith ranked higher in points than in rebounds.

Griffin had a better ranking in rebounds than in assists and steals.

Adams was not the highest point scorer.

Washington was ranked last in blocks.

If Washington and Jones were the leaders in steals and blocks, respectively, then which of the following could be true?

Explanation:

The conditions are not met if Smith is the leader in rebounds because Smith is ranked higher in points than in rebounds and each player can be the leader in only one category.  Similarly, Griffin cannot be the leader in assists and Adams cannot be the leader in points.  However, Smith can be the leader in points, Griffin can be the leader in rebounds, and Adams can be the leader in assists.  This is therefore the correct answer.

### Example Question #12 : Solving Four And Five Variable Logic Games

Five basketball players - Adams, Griffin, Jones, Smith, and Washington - were ranked in five statistical categories: points, rebounds, assists, steals, and blocks.  Each player was the leader in one category and there were no ties.  No other players were considered for the purpose of these rankings.  The rankings of the players met the following conditions:

Smith ranked higher in points than in rebounds.

Griffin had a better ranking in rebounds than in assists and steals.

Adams was not the highest point scorer.

Washington was ranked last in blocks.

Assume Smith and Griffin had the same number of assists and steals.  Which category could Smith be the leader of?

Assists

Steals

Blocks

Rebounds

Blocks

Explanation:

The correct asnwer is: Blocks.

Each player is the leader of one category.  Griffin had more rebounds than assists and steals.  Therefore, Griffin is not the leader in assists or steals.  If Smith had the same number of assists and steals as Griffin, then Smith can also not be the leader in assists or steals.  Smith ranked higher in points than in rebounds.  Therefore, Smith cannot be the leader in rebounds.  However, Smith can be the leader in points and blocks.  One of these categories appears as an answer choice and it is thus the correct answer.

### Example Question #11 : Solving Four And Five Variable Logic Games

Adam, Bill, Chris, Don, Eric, Fred, and George ran in a race.  There were no other competitors and there were no ties.  The ranking of the racers met the following conditions:

Fred finished before Eric and George.

Chris finished before George but after Don.

Which of the following could have been the order of finish?

Chris, Bill, Adam, Fred, Don, George, Eric.

Fred, Don, Bill, Adam, Chris, Eric, George.

Don, Chris, Bill, Adam, Fred, George, Eric.

Don, Bill, Fred, Chris, Adam, George, Eric.

Bill, Adam, Don, Chris, Eric, Fred, George.

Fred, Don, Bill, Adam, Chris, Eric, George.

Explanation:

The other choices are wrong for one or more of the following reasons: Adam and Bill must finish consecutively, meaning one after the other; Adam and Don must both finish ahead of Chris; George and Eric must both finish after Chris.  Therefore, only one answer choice meets the conditions outlined in the question.

### Example Question #11 : Solving Four And Five Variable Logic Games

Adam, Bill, Chris, Don, Eric, Fred, and George ran in a race.  There were no other competitors and there were no ties.  The ranking of the racers met the following conditions:

Fred finished before Eric and George.

Chris finished before George but after Don.

If Chris finished fourth, what place(s) could Bill have finished?

First or Second

Second only

Third only

First only

First or Third

First or Second

Explanation:

The correct answer is: First or Second.

Both Don and Adam had to finish in front of Chris.  In addition, Bill and Adam finished consecutively, with Bill coming in before Adam.  Here, Chris finished fourth.  Therefore, Adam could finish only second at best and third at worst.  If Adam finished third, Bill finished second and Don finished first.  If Adam finished second, Bill finished first and Don finished third.  Therefore, Bill could have only finished first or second, making that the correct answer choice.

### Example Question #12 : Solving Four And Five Variable Logic Games

Adam, Bill, Chris, Don, Eric, Fred, and George ran in a race.  There were no other competitors and there were no ties.  The ranking of the racers met the following conditions:

Fred finished before Eric and George.

Chris finished before George but after Don.

If Chris finished fourth and George finished last, who finished between them in order?

Fred and Eric

Don and Fred

Fred and Eric

Explanation:

The correct answer is: Fred and Eric.

Both Don and Adam had to finish in front of Chris.  In addition, Bill and Adam finished consecutively, with Bill coming in before Adam.  Here, Chris finished fourth.  Therefore, Adam could finish only second at best and third at worst.  If Adam finished third, Bill finished second and Don finished first.  If Adam finished second, Bill finished first and Don finished third.  Either way, Bill, Adam, and Don finished in the first three spots.  George finished last.  That leaves Eric and Fred.  The conditions state that Fred finished before Eric and George.  Therefore, the order of finish would be Chris, Fred, Eric, and George.  Thus, Fred and Eric is the correct answer.

### Example Question #12 : Four & Five Variable

Adam, Bill, Chris, Don, Eric, Fred, and George ran in a race.  There were no other competitors and there were no ties.  The ranking of the racers met the following conditions:

Fred finished before Eric and George.

Chris finished before George but after Don.

What is the best position that George could have finished in?

Sixth

Fourth

Fifth

Second

Third

Sixth

Explanation:

Chris finished before George.  Both Don and Adam had to finish in front of Chris.  In addition, Bill and Adam finished consecutively, with Bill coming in before Adam.  That means that Bill had to finish before Chris too and, at best, Chris finished fourth.  Fred finished before George too.  That leaves only Eric to finish behind George.  Thus, George could have finished sixth at best, making that the correct answer choice.

### Example Question #13 : Solving Four And Five Variable Logic Games

Adam, Bill, Chris, Don, Eric, Fred, and George ran in a race.  There were no other competitors and there were no ties.  The ranking of the racers met the following conditions:

Fred finished before Eric and George.

Chris finished before George but after Don.

What is the highest place Eric could have finished in?

Fifth

Third

First

Second

Fourth