LSAT Logic Games : Linear Games

Study concepts, example questions & explanations for LSAT Logic Games

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Example Questions

Example Question #54 : Solving Two Variable Logic Games

Three English runners--Albert, Barry, and Carl--are competing in a race with three German runners--Dieter, Franz, and Hans. The order in which the six runners will finish the race is subject to the following conditions:

Hans will finish the race before Carl and Dieter.

Franz will finish the race immediately after Barry.

Carl will finish the race sometime before Barry.

A German runner will finish the race first.

No English runner will be the last to finish the race.

Which one of the following, if substituted for the condition that no English runner will be the last to finish the race, would have the exact same effect in determining the finishing order?

Possible Answers:

Dieter must finish the race fifth or later.

Franz must finish the race before Albert.

Barry must finish the race fourth or earlier.

Dieter must finish the race before Carl.

Albert must finish the race fifth or earlier.

Correct answer:

Albert must finish the race fifth or earlier.

Explanation:

Because Albert is the only English runner who could possibly finish last if the proposed condition is removed, his finishing the race fifth or earlier effectively forces a German runner to finish last. Carl still cannot finish last due to the condition that he must finish before Barry. Barry still cannot finish last due to the condition that he finish immediately before Franz. Therefore, if Albert does not finish last, a German runner must do so.

Example Question #54 : Two Variable

Tania will be taking seven business trips over seven weeks.  Each trip will be to one of four destinations.  She must visit each destination at least one time.  The four locations are Indiana, Kansas, Louisiana, and Missouri.  The following conditions apply: 

She cannot travel to Missouri in the fourth week

She must travel to Kansas during the first or seventh weeks

Any time she travels to Louisiana, she must travel to Missouri the next week

She cannot travel to Missouri and Indiana on consecutive weeks

She must travel to at least one location on consecutive weeks, but cannot travel to any location three weeks in a row

 

Which of the following could be the order in which Tania travels to the destinations?

Possible Answers:

Louisiana, Kansas, Missouri, Kansas, Indiana, Indiana, Kansas

Kansas, Indiana, Kansas, Louisiana, Missouri, Kansas, Indiana

Kansas, Indiana, Indiana, Louisiana, Missouri, Kansas, Indiana

Missouri, Kansas, Kansas, Louisiana, Missouri, Kansas, Indiana

Louisiana, Missouri, Indiana, Indiana, Missouri, Indiana, Kansas

Correct answer:

Kansas, Indiana, Indiana, Louisiana, Missouri, Kansas, Indiana

Explanation:

Each incorrect answer directly contradicts one or more rules.  Carefully apply the rules to eliminate incorrect answers.

Example Question #55 : Two Variable

Tania will be taking seven business trips over seven weeks.  Each trip will be to one of four destinations.  She must visit each destination at least one time.  The four locations are Indiana, Kansas, Louisiana, and Missouri.  The following conditions apply: 

She cannot travel to Missouri in the fourth week

She must travel to Kansas during the first or seventh weeks

Any time she travels to Louisiana, she must travel to Missouri the next week

She cannot travel to Missouri and Indiana on consecutive weeks

She must travel to at least one location on consecutive weeks, but cannot travel to any location three weeks in a row

Which of the following cannot be true?

Possible Answers:

Tania travels to Indiana during the fourth and fifth weeks

Tania travels to Kansas on consecutive weeks

Tania travels to Louisiana during the fourth week

Tania travels to Missouri on consecutive weeks

Tania travels to Louisiana during the third week

Correct answer:

Tania travels to Louisiana during the third week

Explanation:

If Tania traveled to Louisiana during the third week, then she would be required to travel to Missouri during the fourth week.  The rules directly prohibit her from doing that, however.

Example Question #56 : Two Variable

Tania will be taking seven business trips over seven weeks.  Each trip will be to one of four destinations.  She must visit each destination at least one time.  The four locations are Indiana, Kansas, Louisiana, and Missouri.  The following conditions apply: 

She cannot travel to Missouri in the fourth week

She must travel to Kansas during the first or seventh weeks

Any time she travels to Louisiana, she must travel to Missouri the next week

She cannot travel to Missouri and Indiana on consecutive weeks

She must travel to at least one location on consecutive weeks, but cannot travel to any location three weeks in a row

Each of the following could be true EXCEPT

Possible Answers:

Tania travels to Indiana only once

Tania travels to Louisiana on consecutive weeks

Tania travels to one destination a total of four times

Tania travels to both Missouri and Indiana two times

Tania travels to Kansas both first and seventh

Correct answer:

Tania travels to Louisiana on consecutive weeks

Explanation:

Tania cannot travel to Louisiana on consecutive weeks.  If she were to do so, she would directly contradict the requirement that she travel to Missouri directly after traveling to Louisiana.

Example Question #57 : Two Variable

Tania will be taking seven business trips over seven weeks.  Each trip will be to one of four destinations.  She must visit each destination at least one time.  The four locations are Indiana, Kansas, Louisiana, and Missouri.  The following conditions apply: 

She cannot travel to Missouri in the fourth week

She must travel to Kansas during the first or seventh weeks

Any time she travels to Louisiana, she must travel to Missouri the next week

She cannot travel to Missouri and Indiana on consecutive weeks

She must travel to at least one location on consecutive weeks, but cannot travel to any location three weeks in a row

If Tania travels to Kansas during the second and third weeks, which of the following could be true?

Possible Answers:

Tania travels to Louisiana first

Tania travels to Kansas first

Tania travels to Louisiana sixth

Tania travels to Kansas sixth

Tania travels to Indiana on consecutive weeks

Correct answer:

Tania travels to Kansas sixth

Explanation:

It is possible for Tania to travel to Kansas sixth even if she travels there second and third.  She would also need to travel to Kansas seventh.  In this situation, she would travel to Indiana first, Louisiana fourth, and Missouri fifth. 

Example Question #52 : Solving Two Variable Logic Games

Tania will be taking seven business trips over seven weeks.  Each trip will be to one of four destinations.  She must visit each destination at least one time.  The four locations are Indiana, Kansas, Louisiana, and Missouri.  The following conditions apply: 

She cannot travel to Missouri in the fourth week

She must travel to Kansas during the first or seventh weeks

Any time she travels to Louisiana, she must travel to Missouri the next week

She cannot travel to Missouri and Indiana on consecutive weeks

She must travel to at least one location on consecutive weeks, but cannot travel to any location three weeks in a row

When Tania travels to Louisiana first, which of the following must be true?

Possible Answers:

Tania travels to Kansas or Indiana third

Tania travels to Indiana fifth

Tania travels to Indiana sixth

Tania travels to Kansas or Missouri third

Tania travels to Kansas or Indiana second

Correct answer:

Tania travels to Kansas or Missouri third

Explanation:

When Tania travels to Louisiana first, she must travel to Missouri second.  She cannot then travel to Louisiana or Indiana third.  If she did, either she would travel to Indiana and Missouri consecutively or she would travel to Missouri fourth--both are prohibited.  As a result, she could only travel to Kansas or Missouri third.

Example Question #53 : Solving Two Variable Logic Games

Tania will be taking seven business trips over seven weeks.  Each trip will be to one of four destinations.  She must visit each destination at least one time.  The four locations are Indiana, Kansas, Louisiana, and Missouri.  The following conditions apply: 

She cannot travel to Missouri in the fourth week

She must travel to Kansas during the first or seventh weeks

Any time she travels to Louisiana, she must travel to Missouri the next week

She cannot travel to Missouri and Indiana on consecutive weeks

She must travel to at least one location on consecutive weeks, but cannot travel to any location three weeks in a row

If the rules are changed so that Tania must travel to Indiana directly after traveling to Missouri, and if all other rules remain unchanged, which of the following could be true?

Possible Answers:

Tania travels to Louisiana on consecutive weeks

Tania travels to Louisiana third

Tania travels to Missouri on consecutive weeks

Tania travels to Missouri first

Tania travels to Louisiana sixth

Correct answer:

Tania travels to Missouri first

Explanation:

Tania can travel to Missouri first as long as she travels to Indiana second.  The key to eliminating other answer choices is to note that, under the new rule, Tania must travel to two destinations after traveling to Louisiana and one after traveling to Missouri.

Example Question #61 : Two Variable

A chef is arranging spices on a shelf.  Four of the spices are in large jars: garlic, oregano, pepper, and salt.  Three of the spices are in small jars: basil, cumin, and mint.  The following conditions apply:

A large jar must be first or fourth

Pepper must come after cumin but before basil

The jar of salt must be the first large jar in the line

Basil cannot be immediately before or after garlic

Which of the following could be the order of the spices on the shelf?

Possible Answers:

cumin, salt, pepper, oregano, basil, mint, garlic

cumin, salt, pepper, oregano, basil, garlic, mint

mint, garlic, salt, cumin, oregano, pepper, basil

cumin, salt, pepper, mint, garlic, oregano, basil

salt, pepper, cumin, basil, oregano, garlic, mint

Correct answer:

cumin, salt, pepper, oregano, basil, mint, garlic

Explanation:

Each of the incorrect answer choices directly contradicts one of the rules.  Apply the rules to eliminate the incorrect answers.

Example Question #62 : Two Variable

A chef is arranging spices on a shelf.  Four of the spices are in large jars: garlic, oregano, pepper, and salt.  Three of the spices are in small jars: basil, cumin, and mint.  The following conditions apply:

A large jar must be first or fourth

Pepper must come after cumin but before basil

The jar of salt must be the first large jar in the line

Basil cannot be immediately before or after garlic

Which of the following cannot be true?

Possible Answers:

oregano is fifth

salt is fourth

garlic is sixth

pepper is sixth

basil is fourth

Correct answer:

salt is fourth

Explanation:

Because salt must be the first large jar, garlic, oregano, and pepper must come after salt.  Basil must come after pepper and, therefore, also must come after salt.  There is no way that four spices can come after salt when salt is fourth.

Example Question #321 : Lsat Logic Games

A chef is arranging spices on a shelf.  Four of the spices are in large jars: garlic, oregano, pepper, and salt.  Three of the spices are in small jars: basil, cumin, and mint.  The following conditions apply:

A large jar must be first or fourth

Pepper must come after cumin but before basil

The jar of salt must be the first large jar in the line

Basil cannot be immediately before or after garlic

Basil can be in each of the following places, EXCEPT

Possible Answers:

fourth

fifth

sixth

third

directly after pepper

Correct answer:

third

Explanation:

Basil cannot be third because it must come after cumin, pepper, and salt.

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