benlipkin/arlsat huggingface dataset:
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a position in the same department as Yates. Feng is hired for a position in a different department from Garcia. If Xavier is hired for a sales position, then Weiss is hired for a production position. Feng is hired for a production position.

Question: Which one of the following could be a complete and accurate matching of the applicants with the departments in which they were hired?
Options:
management: Weiss; production: Feng, Herrera, Yates; sales: Garcia, Ilias, Xavier
management: Weiss; production: Garcia, Ilias, Xavier; sales: Feng, Herrera, Yates
management: Xavier; production: Feng, Garcia, Herrera; sales: Ilias, Yates, Weiss
management: Xavier; production: Feng, Herrera, Ilias; sales: Garcia, Weiss, Yates
management: Xavier; production: Feng, Ilias, Weiss; sales: Garcia, Herrera, Yates
Correct option (0-indexed): 4
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a position in the same department as Yates. Feng is hired for a position in a different department from Garcia. If Xavier is hired for a sales position, then Weiss is hired for a production position. Feng is hired for a production position.

Question: Which one of the following is a complete and accurate list of the applicants, each of whom CANNOT be hired for a production position?
Options:
Feng, Ilias, Xavier
Garcia, Herrera, Yates
Herrera, Yates
Garcia
Ilias
Correct option (0-indexed): 3
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a position in the same department as Yates. Feng is hired for a position in a different department from Garcia. If Xavier is hired for a sales position, then Weiss is hired for a production position. Feng is hired for a production position.

Question: It can be determined in which department each of the seven applicants is hired if which one of the following statements is true?
Options:
Feng and Weiss are both hired for production positions.
Garcia and Yates are both hired for sales positions.
Ilias and Weiss are both hired for sales positions.
Ilias and Weiss are both hired for production positions.
Ilias and Xavier are both hired for production positions.
Correct option (0-indexed): 2
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a position in the same department as Yates. Feng is hired for a position in a different department from Garcia. If Xavier is hired for a sales position, then Weiss is hired for a production position. Feng is hired for a production position.

Question: Each of the following could be an accurate partial list of the applicants hired for sales positions EXCEPT:
Options:
Garcia, Ilias
Garcia, Xavier
Garcia, Yates
Herrera, Weiss
Herrera, Xavier
Correct option (0-indexed): 1
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a position in the same department as Yates. Feng is hired for a position in a different department from Garcia. If Xavier is hired for a sales position, then Weiss is hired for a production position. Feng is hired for a production position.

Question: If Feng is hired for a position in the same department as Xavier, then each of the following could be true EXCEPT:
Options:
Garcia is hired for a sales position.
Herrera is hired for a production position.
Ilias is hired for a sales position.
Weiss is hired for the management position.
Weiss is hired for a production position.
Correct option (0-indexed): 1
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a position in the same department as Yates. Feng is hired for a position in a different department from Garcia. If Xavier is hired for a sales position, then Weiss is hired for a production position. Feng is hired for a production position.

Question: If Xavier is not hired for one of the production positions, then which one of the following could be true?
Options:
Feng and Herrera are both hired for sales positions.
Herrera and Weiss are both hired for sales positions.
Feng and Yates are both hired for production positions.
Garcia and Weiss are both hired for production positions.
Herrera and Weiss are both hired for production positions.
Correct option (0-indexed): 2
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with guitar and harp, Tailwind with fiddle and guitar, and Virtual with lute and mandolin. The following conditions must apply: Each piece shares one instrument with the piece performed immediately before it or after it (or both). Either Nexus or Tailwind is performed second.

Question: Which one of the following could be the order, from first to last, in which the pieces are performed?
Options:
Nexus, Synchrony, Onyx, Virtual, Tailwind
Synchrony, Tailwind, Onyx, Nexus, Virtual
Tailwind, Nexus, Onyx, Virtual, Synchrony
Tailwind, Nexus, Synchrony, Onyx, Virtual
Virtual, Nexus, Synchrony, Onyx, Tailwind
Correct option (0-indexed): 3
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with guitar and harp, Tailwind with fiddle and guitar, and Virtual with lute and mandolin. The following conditions must apply: Each piece shares one instrument with the piece performed immediately before it or after it (or both). Either Nexus or Tailwind is performed second.

Question: Which one of the following instruments CANNOT be shared by the third and fourth pieces performed?
Options:
fiddle
guitar
harp
lute
mandolin
Correct option (0-indexed): 0
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with guitar and harp, Tailwind with fiddle and guitar, and Virtual with lute and mandolin. The following conditions must apply: Each piece shares one instrument with the piece performed immediately before it or after it (or both). Either Nexus or Tailwind is performed second.

Question: If each piece (except the fifth) shares one instrument with the piece performed immediately after it, then which one of the following could be true?
Options:
Virtual is performed first.
Synchrony is performed second.
Onyx is performed third.
Nexus is performed fourth.
Tailwind is performed fifth.
Correct option (0-indexed): 0
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with guitar and harp, Tailwind with fiddle and guitar, and Virtual with lute and mandolin. The following conditions must apply: Each piece shares one instrument with the piece performed immediately before it or after it (or both). Either Nexus or Tailwind is performed second.

Question: Each of the following could be the piece performed first EXCEPT:
Options:
Nexus
Onyx
Synchrony
Tailwind
Virtual
Correct option (0-indexed): 1
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with guitar and harp, Tailwind with fiddle and guitar, and Virtual with lute and mandolin. The following conditions must apply: Each piece shares one instrument with the piece performed immediately before it or after it (or both). Either Nexus or Tailwind is performed second.

Question: If Synchrony is performed fifth, then which one of the following could be true?
Options:
Nexus is performed third.
Onyx is performed third.
Tailwind is performed fourth.
Virtual is performed first.
Virtual is performed second.
Correct option (0-indexed): 3
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X must be placed into some position before V. X and V must be separated by the same number of files as separate H and O. Z must immediately precede M. The first file cannot be a red file.

Question: Which one of the following is an acceptable ordering of the files from first to eighth?
Options:
H X O V Z M P T
P M Z H X O V T
P Z M H O T X V
X Z M V H T P O
Z M H P O X V T
Correct option (0-indexed): 3
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X must be placed into some position before V. X and V must be separated by the same number of files as separate H and O. Z must immediately precede M. The first file cannot be a red file.

Question: The largest possible number of files that can separate Z from H is
Options:
two
three
four
five
six
Correct option (0-indexed): 2
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X must be placed into some position before V. X and V must be separated by the same number of files as separate H and O. Z must immediately precede M. The first file cannot be a red file.

Question: If each of the three red files is immediately followed by a green file, which one of the following must be a yellow file?
Options:
the first
the second
the third
the fourth
the fifth
Correct option (0-indexed): 0
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X must be placed into some position before V. X and V must be separated by the same number of files as separate H and O. Z must immediately precede M. The first file cannot be a red file.

Question: The largest possible number of files that can separate X from V is
Options:
three
four
five
six
seven
Correct option (0-indexed): 2
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X must be placed into some position before V. X and V must be separated by the same number of files as separate H and O. Z must immediately precede M. The first file cannot be a red file.

Question: If Z is placed in the fifth position, then which one of the following is a complete and accurate list of the positions, any one of which could be H's position?
Options:
first, third, fourth
first, second, third
second, third, fourth
second, third, fourth, sixth
third, fourth, sixth, seventh
Correct option (0-indexed): 2
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant attends exactly two sessions, which are on different topics and on different days. Neither Maria nor Suki attends any session on investing. Tate does not attend any session on the third day. At most two Capital employees attend any given session together.

Question: What is the maximum number of sessions attended by at least one Capital employee?
Options:
three
four
five
six
seven
Correct option (0-indexed): 3
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant attends exactly two sessions, which are on different topics and on different days. Neither Maria nor Suki attends any session on investing. Tate does not attend any session on the third day. At most two Capital employees attend any given session together.

Question: Which one of the following must be false?
Options:
Maria attends sessions only on the first two days.
Suki attends sessions only on the last two days.
Exactly two Capital employees attend a session together on the second day.
Exactly one session is attended by one or more Capital employees on the second day.
Exactly three sessions are attended by one or more Capital employees on the third day.
Correct option (0-indexed): 4
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant attends exactly two sessions, which are on different topics and on different days. Neither Maria nor Suki attends any session on investing. Tate does not attend any session on the third day. At most two Capital employees attend any given session together.

Question: If exactly two sessions on the third day are attended by one or more Capital employees, then which one of the following must be true?
Options:
Exactly two sessions on the first day are attended by one or more Capital employees.
Exactly two sessions on the second day are attended by one or more Capital employees.
Maria and Suki do not attend any session together.
Maria and Tate do not attend any session together.
Tate attends a session on investing.
Correct option (0-indexed): 2
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant attends exactly two sessions, which are on different topics and on different days. Neither Maria nor Suki attends any session on investing. Tate does not attend any session on the third day. At most two Capital employees attend any given session together.

Question: Each of the following is possible EXCEPT:
Options:
Every session attended by at least one Capital employee is attended by exactly one Capital employee.
Every session attended by at least one Capital employee is attended by exactly two Capital employees.
Every session attended by Maria is also attended by Suki.
Every session attended by Suki is also attended by Tate.
Every session attended by Tate is also attended by Maria.
Correct option (0-indexed): 1
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant attends exactly two sessions, which are on different topics and on different days. Neither Maria nor Suki attends any session on investing. Tate does not attend any session on the third day. At most two Capital employees attend any given session together.

Question: If all three sessions on the first day are attended by one or more Capital employees, then which one of the following must be false?
Options:
Maria and Suki attend a session together on the third day.
Suki and Tate attend a session together on the second day.
Maria attends a session on hiring on the second day.
Suki attends a session on regulations on the third day.
Tate attends a session on investing on the first day.
Correct option (0-indexed): 0
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant attends exactly two sessions, which are on different topics and on different days. Neither Maria nor Suki attends any session on investing. Tate does not attend any session on the third day. At most two Capital employees attend any given session together.

Question: If Maria and Tate are the only Capital employees to attend a session on the first day, then each of the following could be true EXCEPT:
Options:
Maria and Suki attend exactly two sessions together.
Maria and Tate attend exactly two sessions together.
Suki and Tate attend exactly one session together.
Maria attends a session on regulations on the second day.
Tate attends a session on hiring on the second day.
Correct option (0-indexed): 0
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed children were born in consecutive years. Sara, who is left-handed, was born before Uma. Zoe was born before both Theo and Will. A left-handed child was born in 1991. Uma, who is right-handed, was born in 1993.

Question: Which one of the following could be an accurate matching of each Pohl child with the year in which that child was born?
Options:
Sara: 1990; Zoe: 1992; Uma: 1993; Will: 1994; and Theo: 1995
Sara: 1991; Uma: 1993; Theo: 1994; Zoe: 1995; and Will: 1996
Zoe: 1990; Sara: 1991; Uma: 1992; Theo: 1994; and Will: 1995
Zoe: 1990; Sara: 1991; Uma: 1993; Theo: 1994; and Will: 1995
Zoe: 1990; Sara: 1991; Uma: 1993; Theo: 1994; and Will: 1996
Correct option (0-indexed): 4
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed children were born in consecutive years. Sara, who is left-handed, was born before Uma. Zoe was born before both Theo and Will. A left-handed child was born in 1991. Uma, who is right-handed, was born in 1993.

Question: If Sara was born before Zoe was born, then which one of the following statements CANNOT be true?
Options:
Will is left-handed.
Zoe is left-handed.
Theo was born after Will was born.
Uma was born after Zoe was born.
No child was born in 1990.
Correct option (0-indexed): 3
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed children were born in consecutive years. Sara, who is left-handed, was born before Uma. Zoe was born before both Theo and Will. A left-handed child was born in 1991. Uma, who is right-handed, was born in 1993.

Question: Which one of the following must be false?
Options:
None of the children was born in 1990, nor was a child born in 1992.
None of the children was born in 1992, nor was a child born in 1995.
None of the children was born in 1994, nor was a child born in 1996.
One of the children was born in 1990, and another in 1993.
One of the children was born in 1993, and another in 1995.
Correct option (0-indexed): 2
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed children were born in consecutive years. Sara, who is left-handed, was born before Uma. Zoe was born before both Theo and Will. A left-handed child was born in 1991. Uma, who is right-handed, was born in 1993.

Question: If Theo was born after Will was born, then how many sequential orderings of the children, from firstborn to lastborn, are possible?
Options:
one
two
three
four
five
Correct option (0-indexed): 1
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed children were born in consecutive years. Sara, who is left-handed, was born before Uma. Zoe was born before both Theo and Will. A left-handed child was born in 1991. Uma, who is right-handed, was born in 1993.

Question: If none of the children was born in 1995, then which one of the following statements must be true?
Options:
Theo was born in 1994.
Will was born in 1994.
Will was born in 1996.
Zoe was born in 1990.
Zoe was born in 1994.
Correct option (0-indexed): 3
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed children were born in consecutive years. Sara, who is left-handed, was born before Uma. Zoe was born before both Theo and Will. A left-handed child was born in 1991. Uma, who is right-handed, was born in 1993.

Question: If Theo is right-handed, then each of the following statements must be false EXCEPT:
Options:
Theo was born in 1996.
Will was born in 1995.
Uma was born exactly three years before Theo was born.
Zoe was born exactly one year before Theo was born.
Will is right-handed.
Correct option (0-indexed): 3
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed children were born in consecutive years. Sara, who is left-handed, was born before Uma. Zoe was born before both Theo and Will. A left-handed child was born in 1991. Uma, who is right-handed, was born in 1993.

Question: If Zoe was born before Uma was born, then which one of the following statements must be false?
Options:
No child was born in 1992.
No child was born in 1995.
Theo is left-handed.
Zoe is left-handed.
Will is left-handed.
Correct option (0-indexed): 3
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she does not select any O. If she selects one or more M, then she does not select any N. If she selects one or more M, then she selects at least one O. If she selects one or more N, then she selects at least one O. If she selects one or more O, then she selects at least one P. If she selects one or more P, then she selects at least one O. If she selects any O at all, then she selects at least two O.

Question: Which one of the following could be a complete and accurate list of the fish Barbara selects for her aquarium?
Options:
three J, one K, two M
one J, one K, one M, three O
one J, one M, two O, one P
one J, one N, one O, two P
one M, one N, two O, one P
Correct option (0-indexed): 2
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she does not select any O. If she selects one or more M, then she does not select any N. If she selects one or more M, then she selects at least one O. If she selects one or more N, then she selects at least one O. If she selects one or more O, then she selects at least one P. If she selects one or more P, then she selects at least one O. If she selects any O at all, then she selects at least two O.

Question: If Barbara does not select any fish of species P, then it could be true that she selects fish of species
Options:
J and of species K
J and of species M
K and of species M
K and of species N
L and of species O
Correct option (0-indexed): 0
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she does not select any O. If she selects one or more M, then she does not select any N. If she selects one or more M, then she selects at least one O. If she selects one or more N, then she selects at least one O. If she selects one or more O, then she selects at least one P. If she selects one or more P, then she selects at least one O. If she selects any O at all, then she selects at least two O.

Question: If Barbara selects fish of as many species as possible, then she cannot select any fish of which one of the following species?
Options:
K
L
M
N
P
Correct option (0-indexed): 0
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she does not select any O. If she selects one or more M, then she does not select any N. If she selects one or more M, then she selects at least one O. If she selects one or more N, then she selects at least one O. If she selects one or more O, then she selects at least one P. If she selects one or more P, then she selects at least one O. If she selects any O at all, then she selects at least two O.

Question: Which one of the following statements must be false?
Options:
Barbara selects exactly four fish, at least one of which is a J.
Barbara selects exactly four fish, at least one of which is an L.
Barbara selects exactly three fish, at least one of which is an M.
Barbara selects exactly three fish, at least one of which is an O.
Barbara selects exactly three fish, at least one of which is a P.
Correct option (0-indexed): 2
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she does not select any O. If she selects one or more M, then she does not select any N. If she selects one or more M, then she selects at least one O. If she selects one or more N, then she selects at least one O. If she selects one or more O, then she selects at least one P. If she selects one or more P, then she selects at least one O. If she selects any O at all, then she selects at least two O.

Question: If Barbara selects at least one fish for her aquarium, then which one of the following lists the minimum and maximum possible numbers, respectively, of different species of fish that Barbara selects?
Options:
1, 4
1, 5
1, 6
2, 5
2, 6
Correct option (0-indexed): 1
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the lentils are added last. If the zucchini is added first, then the lentils are added at some time before the onions. Neither the tomatoes nor the kale is added fifth. The mushrooms are added at some time before the tomatoes or the kale, but not before both.

Question: Which one of the following could be the order in which the foods are added to the broth?
Options:
kale, mushrooms, onions, lentils, tomatoes, zucchini
kale, zucchini, mushrooms, tomatoes, lentils, onions
lentils, mushrooms, zucchini, kale, onions, tomatoes
zucchini, lentils, kale, mushrooms, onions, tomatoes
zucchini, tomatoes, onions, mushrooms, lentils, kale
Correct option (0-indexed): 3
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the lentils are added last. If the zucchini is added first, then the lentils are added at some time before the onions. Neither the tomatoes nor the kale is added fifth. The mushrooms are added at some time before the tomatoes or the kale, but not before both.

Question: Which one of the following foods CANNOT be added first?
Options:
kale
lentils
mushrooms
onions
tomatoes
Correct option (0-indexed): 2
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the lentils are added last. If the zucchini is added first, then the lentils are added at some time before the onions. Neither the tomatoes nor the kale is added fifth. The mushrooms are added at some time before the tomatoes or the kale, but not before both.

Question: If the lentils are added last, then which one of the following must be true?
Options:
At least one of the foods is added at some time before the zucchini.
At least two of the foods are added at some time before the kale.
The mushrooms are added third.
The zucchini is added third.
The tomatoes are added fourth.
Correct option (0-indexed): 0
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the lentils are added last. If the zucchini is added first, then the lentils are added at some time before the onions. Neither the tomatoes nor the kale is added fifth. The mushrooms are added at some time before the tomatoes or the kale, but not before both.

Question: Which one of the following could be an accurate partial ordering of the foods added to the broth?
Options:
lentils: second; mushrooms: third
mushrooms: fourth; lentils: last
onions: second; mushrooms: fifth
zucchini: first; lentils: last
zucchini: first; mushrooms: second
Correct option (0-indexed): 2
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the lentils are added last. If the zucchini is added first, then the lentils are added at some time before the onions. Neither the tomatoes nor the kale is added fifth. The mushrooms are added at some time before the tomatoes or the kale, but not before both.

Question: If the zucchini is added first, then which one of the following CANNOT be true?
Options:
The kale is added second.
The tomatoes are added second.
The lentils are added third.
The lentils are added fourth.
The onions are added fourth.
Correct option (0-indexed): 3
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both are tested. K ranks better than F if both are tested. If M is tested, both F and H are also tested.

Question: Which one of the following could be the five cold medications that the study ranks, listed from first to fifth?
Options:
F, I, L, H, G
F, L, G, H, M
F, L, I, G, M
F, L, I, H, M
F, L, K, I, G
Correct option (0-indexed): 3
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both are tested. K ranks better than F if both are tested. If M is tested, both F and H are also tested.

Question: Which one of the following could be true of the study?
Options:
G ranks better than M.
H ranks better than F.
I ranks better than F.
K ranks better than G.
M ranks better than G.
Correct option (0-indexed): 2
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both are tested. K ranks better than F if both are tested. If M is tested, both F and H are also tested.

Question: Which one of the following cold medications must be among those tested in the study?
Options:
F
G
H
K
M
Correct option (0-indexed): 0
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both are tested. K ranks better than F if both are tested. If M is tested, both F and H are also tested.

Question: Which one of the following is a complete and accurate list of the cold medications any one of which could be the cold medication ranked fifth?
Options:
F, G, H, M
G, H, I, M
G, H, L, M
F, G, H, I, K
F, G, H, I, M
Correct option (0-indexed): 4
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both are tested. K ranks better than F if both are tested. If M is tested, both F and H are also tested.

Question: If I ranks third, each of the following could also be true of the study EXCEPT:
Options:
M ranks better than H.
K ranks better than G.
I ranks better than F.
H ranks better than M.
G ranks better than K.
Correct option (0-indexed): 1
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The following conditions govern Zephyr's nonstop flights: Montreal is connected with exactly one other city. Honolulu is not connected with Toronto. Any city that is connected with Honolulu is also connected with Toronto. If Philadelphia is connected with Toronto, then Philadelphia is not connected with Vancouver.

Question: Which one of the following could be a complete and accurate list of Zephyr Airlines' connected cities?
Options:
Honolulu and Vancouver; Montreal and Toronto; Philadelphia and Vancouver; Toronto and Vancouver
Honolulu and Vancouver; Montreal and Philadelphia; Montreal and Toronto; Philadelphia and Toronto; Toronto and Vancouver
Honolulu and Philadelphia; Honolulu and Montreal; Philadelphia and Toronto; Toronto and Vancouver
Honolulu and Philadelphia; Montreal and Toronto; Philadelphia and Toronto; Philadelphia and Vancouver; Toronto and Vancouver
Honolulu and Philadelphia; Honolulu and Toronto; Montreal and Philadelphia; Philadelphia and Vancouver
Correct option (0-indexed): 0
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The following conditions govern Zephyr's nonstop flights: Montreal is connected with exactly one other city. Honolulu is not connected with Toronto. Any city that is connected with Honolulu is also connected with Toronto. If Philadelphia is connected with Toronto, then Philadelphia is not connected with Vancouver.

Question: If exactly three cities are each connected with Philadelphia, then which one of the following could be a pair of connected cities?
Options:
Honolulu and Montreal
Honolulu and Vancouver
Montreal and Toronto
Montreal and Vancouver
Philadelphia and Vancouver
Correct option (0-indexed): 1
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The following conditions govern Zephyr's nonstop flights: Montreal is connected with exactly one other city. Honolulu is not connected with Toronto. Any city that is connected with Honolulu is also connected with Toronto. If Philadelphia is connected with Toronto, then Philadelphia is not connected with Vancouver.

Question: Which one of the following is a pair of cities that CANNOT be connected?
Options:
Honolulu and Montreal
Honolulu and Philadelphia
Montreal and Philadelphia
Montreal and Vancouver
Philadelphia and Toronto
Correct option (0-indexed): 0
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The following conditions govern Zephyr's nonstop flights: Montreal is connected with exactly one other city. Honolulu is not connected with Toronto. Any city that is connected with Honolulu is also connected with Toronto. If Philadelphia is connected with Toronto, then Philadelphia is not connected with Vancouver.

Question: Which one of the following could be true?
Options:
Montreal and Philadelphia are connected with each other, but neither is connected with any other city.
Montreal and Toronto are connected with each other, but neither is connected with any other city.
Philadelphia and Toronto are connected with each other, but neither is connected with any other city.
Philadelphia and Vancouver are connected with each other, but neither is connected with any other city.
Toronto and Vancouver are connected with each other, but neither is connected with any other city.
Correct option (0-indexed): 0
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The following conditions govern Zephyr's nonstop flights: Montreal is connected with exactly one other city. Honolulu is not connected with Toronto. Any city that is connected with Honolulu is also connected with Toronto. If Philadelphia is connected with Toronto, then Philadelphia is not connected with Vancouver.

Question: If Toronto is the only city that is connected with Philadelphia, then which one of the following could be true?
Options:
Exactly one city is connected with Toronto.
Exactly one city is connected with Vancouver.
Exactly two cities are each connected with Honolulu.
Exactly two cities are each connected with Toronto.
Exactly four cities are each connected with Toronto.
Correct option (0-indexed): 3
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The following conditions govern Zephyr's nonstop flights: Montreal is connected with exactly one other city. Honolulu is not connected with Toronto. Any city that is connected with Honolulu is also connected with Toronto. If Philadelphia is connected with Toronto, then Philadelphia is not connected with Vancouver.

Question: At most how many pairs of cities could be connected?
Options:
four
five
six
seven
eight
Correct option (0-indexed): 1
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The following conditions govern Zephyr's nonstop flights: Montreal is connected with exactly one other city. Honolulu is not connected with Toronto. Any city that is connected with Honolulu is also connected with Toronto. If Philadelphia is connected with Toronto, then Philadelphia is not connected with Vancouver.

Question: If four of the cities are each connected with the remaining city, then the cities in which one of the following pairs must be connected with each other?
Options:
Honolulu and Montreal
Honolulu and Philadelphia
Honolulu and Vancouver
Montreal and Philadelphia
Montreal and Toronto
Correct option (0-indexed): 2
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is selected, K is also selected. If K is selected, N is also selected.

Question: Which one of the following is an acceptable selection of animals for the study?
Options:
F, G, K, N, T, V
F, H, K, N, V, Z
G, H, K, L, V, Z
G, H, K, N, V, Z
G, H, L, N, V, Z
Correct option (0-indexed): 3
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is selected, K is also selected. If K is selected, N is also selected.

Question: If H and L are among the animals selected, which one of the following could be true?
Options:
F is selected.
T is selected.
Z is selected.
Exactly one panda is selected.
Exactly two pandas are selected.
Correct option (0-indexed): 2
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is selected, K is also selected. If K is selected, N is also selected.

Question: Each of the following is a pair of animals that could be selected together EXCEPT
Options:
F and G
H and K
K and T
L and N
T and V
Correct option (0-indexed): 2
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is selected, K is also selected. If K is selected, N is also selected.

Question: If all three of the raccoons are selected, which one of the following must be true?
Options:
K is selected.
L is selected.
Exactly one monkey is selected.
Exactly two pandas are selected.
All three of the monkeys are selected.
Correct option (0-indexed): 1
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is selected, K is also selected. If K is selected, N is also selected.

Question: If T is selected, which one of the following is a pair of animals that must be among the animals selected?
Options:
F and G
G and H
K and L
K and Z
L and N
Correct option (0-indexed): 0
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is selected, K is also selected. If K is selected, N is also selected.

Question: The selection of animals must include
Options:
at most two of each kind of animal
at least one of each kind of animal
at least two pandas
exactly two monkeys
exactly two raccoons
Correct option (0-indexed): 1