LSAT Logic Games : Linear Games
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
Example Question #311 : Linear Games
A florist is delivering flowers to several different companies. The flowers she delivers are a Lilac, a Marigold, a Narcissus, an Orchid, a Petunia and a Queen of Sheba. No two flowers are delivered to the same address. The order in which she delivers the flowers must conform to the following restrictions:
She must deliver the Lilac at some time before the Narcissus
The Petunia must be delivered either first or last
If the Narcissus is delivered third, then the Queen of Sheba is delivered fifth
The Orchid cannot be either the fourth or fifth flower to be delivered
If the Narcissus is the third flower to be delivered, all of the following could be true EXCEPT:
The Petunia is delivered sixth
The Petunia is delivered first
The Orchid is delivered second
The Lilac is delivered first
The Marigold is delivered second
The Marigold is delivered second
If the Narcissus is delivered third, the Queen of Sheba must be delivered sixth in accordance with the conditional. The Petunia can still either be delivered first or last. If we place the Petunia in the fist spot, the Lilac must be second in order to be delivered before the Narcussis. We then must place the Orchid in the last spot in order to avoid the fourth spot, and then the Marigold fills in the fourth spot. This yields the solution: Petunia, Lilac, Narcissus, Marigold, Queen of Sheba, Orchid. If we place the Petunia in the last spot the Lilac and the Orchid fill out the first and second spots, in either order. The final open spot is the fourth, which is filled by the Marigold. The only answer choice that is never represented in these scenarios is the Marigold in the second spot.
Example Question #44 : Two Variable
A florist is delivering flowers to several different companies. The flowers she delivers are a Lilac, a Marigold, a Narcissus, an Orchid, a Petunia and a Queen of Sheba. No two flowers are delivered to the same address. The order in which she delivers the flowers must conform to the following restrictions:
She must deliver the Lilac at some time before the Narcissus
The Petunia must be delivered either first or last
If the Narcissus is delivered third, then the Queen of Sheba is delivered fifth
The Orchid cannot be either the fourth or fifth flower to be delivered
Which of the following is a complete and accurate possible list of deliveries in order?
Orchid, Lilac, Narcissus, Marigold, Queen of Sheba, Petunia
Narcissus, Orchid, Lilac, Queen of Sheba, Marigold, Petunia
Petunia, Lilac, Narcissus, Queen of Sheba, Marigold, Orchid
Marigold, Queen of Sheba, Lilac, Narcissus, Orchid, Petunia
Lilac, Marigold, Orchid, Queen of Sheba, Petunia, Narcissus
Orchid, Lilac, Narcissus, Marigold, Queen of Sheba, Petunia
This is a standard "grab a rule" problem. We can go through each anser eliminating based on rule violations. The only answer left will be the correct answer.
Example Question #313 : Linear Games
A florist is delivering flowers to several different companies. The flowers she delivers are a Lilac, a Marigold, a Narcissus, an Orchid, a Petunia and a Queen of Sheba. No two flowers are delivered to the same address. The order in which she delivers the flowers must conform to the following restrictions:
She must deliver the Lilac at some time before the Narcissus
The Petunia must be delivered either first or last
If the Narcissus is delivered third, then the Queen of Sheba is delivered fifth
The Orchid cannot be either the fourth or fifth flower to be delivered
If she delivers the Petunia at some time before she delivers the Queen of Sheba, which of the following must be true?
The Queen of Sheba is delivered fifth
The Orchid is delivered sixth
The Narcissus cannot be delivered third
The Narcissus cannot be delivered second
The Lilac cannot be delivered second
The Narcissus cannot be delivered second
If the Petunia is delivered before any other flower, we know that it must be first due to the restriction that the Petunia can only be delivered either first or last. The earliest possible spot for any of the other flowers to be delivered is now the second spot. When we take into consideration the rule that the Lilac must be delivered at some time before the Narcissus, we know that the Narcissus cannot be delivered second, since that would not allow any space for the Lilac to be delivered before it.
Example Question #45 : Two Variable
A florist is delivering flowers to several different companies. The flowers she delivers are a Lilac, a Marigold, a Narcissus, an Orchid, a Petunia and a Queen of Sheba. No two flowers are delivered to the same address. The order in which she delivers the flowers must conform to the following restrictions:
She must deliver the Lilac at some time before the Narcissus
The Petunia must be delivered either first or last
If the Narcissus is delivered third, then the Queen of Sheba is delivered fifth
The Orchid cannot be either the fourth or fifth flower to be delivered
If the Petunia and the Orchid are delivered consecutively, which of the following could be true?
The Queen of Sheba is delivered third and the Lilac is delivered sixth
The Narcissus is delivered third and the Marigold is delivered sixth
The Marigold is delivered second and the Lilac is delivered third
The Lilac is delivered third and the Queen of Sheba is delivered fifth
The Lilac is delivered first and the Narcissus is delivered second
The Lilac is delivered third and the Queen of Sheba is delivered fifth
In this question we are given the new stipulation that the Petunia and the Orchid must be delivered consecutively. Since the Petunia can only occupy the first or last spot and we know that the Orchid cannot be in the fifth spot, they must occupy the first and second spots, respectively. Therefore any anwer that has any other flower in either the first or second spot cannot be correct. The Lilac can never be delivered last, so we can eliminate that answer, and similarly the Narcissus cannot be delivered third in this game because there would be no room for the Lilac to come before it. The correct answer yields the following order: Petunia, Orchid, Lilac, Narcissus, Queen of Sheba, Marigold.
Example Question #312 : Linear Games
A barista has seven boxes of tea and coffee of varying types, which she places in a line behind the counter. There are four types of coffee: Colombian, Dark, Espresso, and French. There are three types of tea: Green, Herbal, and Vanilla. The following rules apply:
A box of tea must be fifth
No tea may be placed next to another tea
Herbal may not be next to either Colombian or Espresso
At least two boxes must be between Colombian and Dark
If a rule is added that requires exactly two boxes to be after French and before Green, which of the following could be true?
French is first
Green is seventh
Green is third
French is sixth
French is third
Green is seventh
Since a tea must be fifth, Green cannot be fourth or sixth (otherwise it would be adjacent to another tea). As a result, Green could only be fifth or seventh. French could only be second or fourth.
Example Question #46 : Two Variable
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 of the following could be the order, from first to last, in which the runners finish the race?
Hans, Carl, Barry, Franz, Dieter, Albert
Hans, Carl, Albert, Franz, Barry, Dieter
Hans, Albert, Carl, Dieter, Barry, Franz
Albert, Hans, Carl, Barry, Franz, Dieter
Albert, Hans, Dieter, Carl, Barry, Franz
Hans, Albert, Carl, Dieter, Barry, Franz
The correct answer choice is the only one that does not violate one or more conditions. Albert can never finish first because only a German runner can finish the race first. Albert cannot finish last for the same reason. Barry must always finish immediately before Franz.
Example Question #47 : Two Variable
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.
If a German runner finishes the race fifth, which of the following must be true?
Franz finishes the race last.
Carl finishes the race immediately after Albert.
Albert finishes the race immediately after Hans.
Franz finishes the race first.
Barry finishes the race fourth.
Barry finishes the race fourth.
Under this scenario, Barry must finish the race fourth. Because a German runner must finish both first and last, the English runners must finish second, third, and fourth. Barry, however, has the additional requirement of finishing immediately before Franz. Therefore Barry must finish fourth, with Franz fifth, and Dieter last.
Example Question #51 : Two Variable
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 of the following is a complete and accurate list of runners, any one of which could finish the race immediately after Albert?
Hans, Barry, Carl, Dieter
Barry, Dieter, Franz
Barry, Carl, Dieter
Hans, Dieter, Carl
Barry, Carl
Barry, Carl, Dieter
Barry, Carl, and Dieter could all finish the race immediately after Albert. Remember that the question asks for a “complete and accurate list,” so a partial list (Barry, Carl) is insufficient. Franz cannot finish immediately after Albert because he finishes immediately after Barry. Hans, because he is a German runner and must finish before Dieter and Carl (and by extension, Barry and Franz), must finish before Albert.
Example Question #311 : Linear 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.
If Carl finishes the race third, each of the following could be true EXCEPT:
Albert finishes the race after Dieter.
Carl finishes the race before Franz.
Franz finishes the race before Dieter.
Barry finishes the race before Albert.
Dieter finishes the race before Carl.
Barry finishes the race before Albert.
Under this scenario, Barry cannot finish the race before Albert. Carl finishing third restricts the finishing positions significantly. Hans must finish first. Because of the condition that Franz must finish immediately after Barry, the only possible runners who could finish the race second are Albert and Dieter. If Albert finishes second, Barry must finish after him. If Dieter finishes second, then Albert must finish fourth, Barry fifth, and Franz last.
Example Question #53 : Two Variable
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.
The runner who finishes the race fourth could be any one of exactly how many of the runners?
Four
Two
Three
Six
Five
Five
Five of the runners could finish fourth. Hans is the only runner who could not. Under the conditions, Hans must finish before Dieter and Carl. Carl must finish before Barry. Under these two conditions alone, Hans cannot finish in fourth place or later.
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