LSAT Logic Games : Linear Games

Study concepts, example questions & explanations for LSAT Logic Games

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Example Questions

Example Question #21 : Lsat Logic Games

A Halloween parade consists of six floats. The floats are of a goblin, a witch, a pumpkin, a skeleton, a mummy, and a piece of candy. The floats will look best when arranged in a certain order according to the following rules:

1. The goblin and the pumpkin must be consecutively ordered.

2. The piece of candy cannot be first.

3. The skeleton and mummy cannot be consecutively ordered.

4. If the pumpkin is second, the witch must not be fourth.

Which of the following MUST be true?

Possible Answers:

If the witch is second, then the pumpkin must not be fourth.

The skeleton must be at least two places away from the mummy.

If the piece of candy is second and the witch is third, then either the goblin or pumpkin is fifth.

The piece of candy must be last.

If the pumpkin is second, then either the piece of candy or the skeleton is fourth.

Correct answer:

If the piece of candy is second and the witch is third, then either the goblin or pumpkin is fifth.

Explanation:

We already know that the goblin and pumpkin must be consecutively ordered (or side-by-side). If the piece of candy is second and the witch is third, the only places the goblin and pumpkin can stay together is the fourth and fifth position, or the fifth and sixth position. Either way, one of them will go in the fifth position.

Example Question #21 : Sequencing

A Halloween parade consists of six floats. The floats are of a goblin, a witch, a pumpkin, a skeleton, a mummy, and a piece of candy. The floats will look best when arranged in a certain order according to the following rules:

1. The goblin and the pumpkin must be consecutively ordered.

2. The piece of candy cannot be first.

3. The skeleton and mummy cannot be consecutively ordered.

4. If the pumpkin is second, the witch must not be fourth.

If the goblin is third, which is NOT a possible order?

Possible Answers:

witch, mummy, goblin, pumpkin, candy, skeleton

mummy, witch, goblin, pumpkin, skeleton, candy

witch, pumpkin, goblin, skeleton, candy, mummy

mummy, pumpkin, goblin, skeleton, witch, candy

mummy, pumpkin, goblin, witch, skeleton, candy

Correct answer:

mummy, pumpkin, goblin, witch, skeleton, candy

Explanation:

This sequence violates the fourth condition: since the pumpkin is second, the witch cannot be fourth.

Example Question #22 : Lsat Logic Games

A Halloween parade consists of six floats. The floats are of a goblin, a witch, a pumpkin, a skeleton, a mummy, and a piece of candy. The floats will look best when arranged in a certain order according to the following rules:

1. The goblin and the pumpkin must be consecutively ordered.

2. The piece of candy cannot be first.

3. The skeleton and mummy cannot be consecutively ordered.

4. If the pumpkin is second, the witch must not be fourth.

From the information provided, which of the following can we NOT know for certain?

Possible Answers:

Once the mummy has been assigned its order number, there are four places the skeleton could go

If the pumpkin is last, the mummy cannot be fifth

If the pumpkin is fifth, there are only two places the goblin can go

If the witch is fourth, then the goblin must be second, fifth, or sixth

If the pumpkin is assigned its order number first, it can go in any of the six slots

Correct answer:

Once the mummy has been assigned its order number, there are four places the skeleton could go

Explanation:

Depending on where the mummy is placed, there could be either two, three OR four places the skeleton could go. If, for instance, the mummy is placed third, then the skeleton can only go in the first, fifth, or sixth position.

Example Question #22 : Linear Games

A Halloween parade consists of six floats. The floats are of a goblin, a witch, a pumpkin, a skeleton, a mummy, and a piece of candy. The floats will look best when arranged in a certain order according to the following rules:

1. The goblin and the pumpkin must be consecutively ordered.

2. The piece of candy cannot be first.

3. The skeleton and mummy cannot be consecutively ordered.

4. If the pumpkin is second, the witch must not be fourth.

If the mummy is first and the witch is third, what is a possible order for the floats?

Possible Answers:

mummy, candy, witch, goblin, skeleton, pumpkin

mummy, pumpkin, witch, goblin, skeleton, candy

mummy, skeleton, witch, candy, goblin, pumpkin

mummy, pumpkin, witch, skeleton, goblin, candy

mummy, candy, witch, pumpkin, goblin, skeleton

Correct answer:

mummy, candy, witch, pumpkin, goblin, skeleton

Explanation:

This sequence satisfies all of the conditions: the goblin and pumpkin are consecutively ordered, the piece of candy isn't first, the skeleton and mummy are not consecutively ordered, and since the pumpkin is not second it does not affect the position of the witch.

Example Question #21 : Determining Sequence In Linear Games

A Halloween parade consists of six floats. The floats are of a goblin, a witch, a pumpkin, a skeleton, a mummy, and a piece of candy. The floats will look best when arranged in a certain order according to the following rules:

1. The goblin and the pumpkin must be consecutively ordered.

2. The piece of candy cannot be first.

3. The skeleton and mummy cannot be consecutively ordered.

4. If the pumpkin is second, the witch must not be fourth.

If another condition were added, stating that the piece of candy had to come before the goblin, which of the following is a possible order for the floats?

Possible Answers:

mummy, pumpkin, candy, witch, goblin, skeleton

candy, pumpkin, goblin, witch, skeleton, mummy

pumpkin, candy, goblin, witch, skeleton, mummy

skeleton, candy, pumpkin, goblin, witch, mummy

skeleton, mummy, pumpkin, candy, witch, goblin

Correct answer:

skeleton, candy, pumpkin, goblin, witch, mummy

Explanation:

This is the only sequence that satisfies all five conditions: the goblin and pumpkin are consecutively ordered, the piece of candy is not first, the skeleton and mummy are not consecutively ordered, since the pumpkin is second the witch is not fourth, and the piece of candy comes before the goblin.

Example Question #22 : Linear Games

A group of seven friends-- F, G, H, I, J, K, L-- are going sky-diving. For safety reasons, only one person can jump from the plane at a time, unless they are doing a tandem jump with an instructor. In that case, exactly one friend and one instructor jumps from the plane together. The friends jump in an order that conforms to the following conditions:

Exactly one friend jumps from the plane between the times when H and L and jump from the plane. 

F jumps from the plane at some point before K.

J jumps from the plane at some point before L.

G jumps from the plane either second or fifth.

If I jumps from the plane after G, then L jumps from the plane after F.

If a friend does a tandem jump with an instructor, that friend must jump from the plane after any and all of the friends who are not jumping with an instructor.

Which of the following is a valid order of how the friends exited from the plane? 

Possible Answers:

J, G, H, I, L, F, K

F, J, K, L, G, H, I

J, G, H, I, F, L, K 

H, F, L, J, G, I, K

I, F, J, K, L, G, H

Correct answer:

F, J, K, L, G, H, I

Explanation:

[J, G, H, I, L, F, K]

This is incorrect, because I is jumping after G, but L is not jumping after F. 

[I, F, J, K, L, G, H]

This is incorrect, because G is jumping sixth, not second or fifth. 

[J, G, H, I, F, L, K]

This is incorrect, because there are two friends that jump between H and L. 

[H, F, L, J, G, I, K]

This is incorrect, because J comes after L. 

 

Example Question #21 : Linear Games

A group of seven friends-- F, G, H, I, J, K, L-- are going sky-diving. For safety reasons, only one person can jump from the plane at a time, unless they are doing a tandem jump with an instructor. In that case, exactly one friend and one instructor jumps from the plane together. The friends jump in an order that conforms to the following conditions:

Exactly one friend jumps from the plane between the times when H and L and jump from the plane. 

F jumps from the plane at some point before K.

J jumps from the plane at some point before L.

G jumps from the plane either second or fifth.

If I jumps from the plane after G, then L jumps from the plane after F.

If a friend does a tandem jump with an instructor, that friend must jump from the plane after any and all of the friends who are not jumping with an instructor.

If I is the fifth jumper, then which of the following could be the one and only friend doing a tandem jump with an instructor?

Possible Answers:

I

K

H

F

J

Correct answer:

K

Explanation:

Questions dealing with tandem jumpers are basically questions about sequencing things at the end of the line in a slightly (deliberately, of course) obscured way. Thus, the question is simply asking what will be in slot 7 if I is in 5. 

If I is the 5th jumper, then you know that G must be the 2nd jumper.

_ G _ _ I _ _

Since H and L have exactly one space between them, there are only two possible spots they could occupy (and four possibilities altogether).

H/L G H/L _ I _ _

_ G _ H/L I H/L _

Now, if we look at the first configuration, we see that there is no possible way to fit J into a jump before L. Thus, we are required to go with the second configuration. We thus have three spots that we must fill with J, F, and K. We know that J must come before L, so it cannot occupy the 7th slot, and must instead occupy slot 1 or 3. We also know that F must come before K. That means that F must b in slot 1 or 3 and K must be in 7. Thus, the answer is K.

F/J G F/J H/L I H/L K

Example Question #21 : Sequencing

A group of seven friends-- F, G, H, I, J, K, L-- are going sky-diving. For safety reasons, only one person can jump from the plane at a time, unless they are doing a tandem jump with an instructor. In that case, exactly one friend and one instructor jumps from the plane together. The friends jump in an order that conforms to the following conditions:

Exactly one friend jumps from the plane between the times when H and L and jump from the plane. 

F jumps from the plane at some point before K.

J jumps from the plane at some point before L.

G jumps from the plane either second or fifth.

If I jumps from the plane after G, then L jumps from the plane after F.

If a friend does a tandem jump with an instructor, that friend must jump from the plane after any and all of the friends who are not jumping with an instructor.

If G and I are both doing tandem jumps with instructors and only three friends total are doing tandem jumps, then which of the following could be true?

Possible Answers:

H jumps third. 

G jumps second.

F jumps fourth.

K jumps third.

L jumps second.

Correct answer:

K jumps third.

Explanation:

If I and G are both doing tandem jumps and G is the first one to do a tandem jump (meaning that only G and the jumps after G are also doing tandem , then, right off the bat, we can draw this:

_ _ _ _ G I? I?

Regardless of where I ends up, it  will definitely come after G. Thus, we know that F will come before L. F > L, K and, as a reminder, J also comes before L. 

Given our setup, we know there are two possible places to put H and L. 

_ H/L _ H/L G I? I?

_ _ _ H/L G H/L I?

We can't put H or L in the 1st/3rd spots, because there wouldn't be enough room for both F and J to come before L. Furthermore, we can't put L in the 2nd spot either for the same reason. From here, we can just fill out the two diagrams as best we can.

J/F H J/F L G K I

F/J J/J K L/H G H/L I

Those two diagrams show the full range of possibilites given that G and I are doing tandem jumps (incidentally, it also tells us that at least one of either K, H, or L are also doing a tandem jump). 

When we compare the answer choices to our diagrams, we can see that K appears in the 3rd spot in our second diagram.

Example Question #21 : Linear Games

A group of seven friends-- F, G, H, I, J, K, L-- are going sky-diving. For safety reasons, only one person can jump from the plane at a time, unless they are doing a tandem jump with an instructor. In that case, exactly one friend and one instructor jumps from the plane together. The friends jump in an order that conforms to the following conditions:

Exactly one friend jumps from the plane between the times when H and L and jump from the plane. 

F jumps from the plane at some point before K.

J jumps from the plane at some point before L.

G jumps from the plane either second or fifth.

If I jumps from the plane after G, then L jumps from the plane after F.

If a friend does a tandem jump with an instructor, that friend must jump from the plane after any and all of the friends who are not jumping with an instructor.

If G and L are both doing tandem jumps with instructors, which of the following friends cannot be doing a tandem jump with an instructor?

Possible Answers:

H

J

K

It is possible for any of the friends to be doing a tandem jump with an instructor.

F

Correct answer:

It is possible for any of the friends to be doing a tandem jump with an instructor.

Explanation:

This is a fairly simple question that moreso tests your ability to read the rules and questions precisely than anything else. Having G and L as your tandem jumpers can be restricting, but only if the number of tandem jumpers is restricted. This question does not restrict the tandem jumpers in anyway, so it is entirely possible that all seven friends are doing tandem jumps. If all seven friends are doing tandem jumps, then the rules about where the tandem jumpers go relative to the others have no impact at all.

Example Question #22 : Sequencing

A director at a playhouse is trying to select 7 shows for the upcoming season. The shows consist of some arrangement of comedies, tragedies, one-acts, and musicals. Each season features at least one performance from one of these genres. When selecting and arranging shows, the director must adhere to the following conditions:

1. The first performance must be either a comedy or a musical

2. One-acts can neither be the sixth nor the seventh show of the season

3. There must be at least two comedies

4. There cannot be two of any genre back to back

5. If the third show is not one-acts, then it must be a musical

What is the maximum number of one-acts possible in a season?

Possible Answers:

One

Two

Three

Four

Cannot be determined

Correct answer:

Two

Explanation:

From the first premise we know that the first spot is either a musical or comedy, so it cannot be a one-act; that leaves six possibilities. From the second premise we know that the sixth and seventh spots cannot be one-acts either; that leaves four possibilities. Since according to the fifth premise we know that we can't have consecutive one-acts, the maximum number that could be in a season is two.

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