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

Study concepts, example questions & explanations for LSAT Logic Games

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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?

Possible Answers:

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.

Correct answer:

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?

Possible Answers:

Steals

Blocks

Assists

Rebounds

None of the other answers.

Correct answer:

None of the other answers.

Explanation:

The correct answer is: None of the other answers.

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?

Possible Answers:

Griffin

Adams

Jones

Washington

Smith

Correct answer:

Jones

Explanation:

The correct answer is: Jones.

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?

Possible Answers:

Smith was the leader in points, Griffin was the leader in rebounds, and Adams was the leader in assists.

 

Griffin was the leader in points, Smith was the leader in rebounds, and Adams was the leader in assists.

Adams was the leader in points, Griffin was the leader in rebounds, and Smith was the leader in assists.

None of the other answers.

Smith was the leader in points, Adams was the leader in rebounds, and Griffin was the leader in assists.

Correct answer:

Smith was the leader in points, Griffin was the leader in rebounds, and Adams was the leader in assists.

 

Explanation:

The correct answer is: Smith was the leader in points, Griffin was the leader in rebounds, and Adams was the leader in assists.

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?

Possible Answers:

Assists

Steals

Blocks

Rebounds

None of the other answers.

Correct answer:

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.

Bill and Adam finished consecutively with Bill finishing before Adam.

Chris finished before George but after Don.

Adam finished before Chris.

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

Possible Answers:

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.

Correct answer:

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

Explanation:

The correct answer is: Fred, Don, Bill, Adam, Chris, Eric, George.

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.

Bill and Adam finished consecutively with Bill finishing before Adam.

Chris finished before George but after Don.

Adam finished before Chris.

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

Possible Answers:

First or Second

Second only

Third only

First only

First or Third

Correct answer:

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.

Bill and Adam finished consecutively with Bill finishing before Adam.

Chris finished before George but after Don.

Adam finished before Chris.

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

Possible Answers:

Bill and Adam

Don and Adam

Fred and Eric

Adam and Bill

Don and Fred

Correct answer:

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.

Bill and Adam finished consecutively with Bill finishing before Adam.

Chris finished before George but after Don.

Adam finished before Chris.

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

Possible Answers:

Sixth

Fourth

Fifth

Second

Third

Correct answer:

Sixth

Explanation:

The correct answer is: Sixth.

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.

Bill and Adam finished consecutively with Bill finishing before Adam.

Chris finished before George but after Don.

Adam finished before Chris.

What is the highest place Eric could have finished in?

Possible Answers:

Fifth

Third

First

Second

Fourth

Correct answer:

Second

Explanation:

The correct answer choice is: Second.

Fred finished before Eric.  Other than Fred, no one had to have finished before Eric.  If Fred finished first and Eric finished second, Bill, Adam, Chris, Don, and George could have taken some combination of second through seventh.  Therefore, second is the correct answer choice.

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