Free LSAT Logic Reasoning Questions and Answers — Questions and Answers
Question 1: Six portraits are hung in a straight line on the wall by a photographer. Six members of the family are depicted in the portraits: Lei, May, Naomi, Oscar, Pat, and Sam. The hanging order of the portraits must adhere to the following guidelines: <br> May's portrait must be the first or last on the list. <br> <br> There must be only one photograph of Naomi and Sam. <br> <br> After Lei's portrait, but before Sam's, Naomi's must be done. <br> <br> Which of the following is a suitable hanging order for the portraits?
- May, Naomi, Lei, Sam, Oscar, Pat
- Lei, May, Naomi, Oscar, Sam, Pat
- May, Lei, Oscar, Naomi, Pat, Sam (Correct answer)
- Lei, Sam, Pat, Naomi, Oscar, May
- Lei, Naomi, Sam, Pat, Oscar, May
Correct answer: May, Lei, Oscar, Naomi, Pat, Sam
Explanation: <br> Any option without May being first or last is immediately taken out. Any option without one space between Naomi and Pat is taken out, and any option that has Pat appearing before Naomi is taken out. Any option that doesn't have Lei appearing before Naomi is taken out, leaving only the correct answer as an option.
Question 2: Six portraits are hung in a straight line on the wall by a photographer. Six members of the family are depicted in the portraits: Lei, May, Naomi, Oscar, Pat, and Sam. The hanging order of the portraits must adhere to the following guidelines: <br> <br> May's portrait must be the first or last on the list. <br> <br> There must be only one photograph of Naomi and Sam. <br> <br> After Lei's portrait, but before Sam's, Naomi's must be done. <br> <br> Which is a complete and accurate list of all the possible portraits that could appear second if May's portrait appears first?
- Naomi, Oscar, Pat
- Oscar, Pat
- Oscar, Lei, Pat (Correct answer)
- Naomi, Oscar, Pat, Lei
- Oscar, Lei
Correct answer: Oscar, Lei, Pat
Explanation: <br> Knowing that May's portrait comes first lets us plot out the possible locations for the Naomi/Sam block. They can either go in spots three and five or four and six, respectively. (Naomi cannot go in spot two, because Lei has to come before her.) This creates two possibilities for solutions. The first, with Naomi and Sam in spots three and six, gives us Lei in two, and either Pat or Oscar in four and the other one in six. The second possibility with Naomi and Sam in spots four and six gives us the option of Pat, Lei , or Oscar for spots two and three, and then whoever is left of Pat and Oscar for spot five. Therefore, considering both possibilities the only people who could occupy the second spot when May is in the first spot are Oscar, Lei and Pat.
Question 3: A gym teacher wants his six students to form a line from lowest to tallest in height order. Cassy and Kris are two young ladies. The boys are Barry, Jay, Wilson, and Darren. <br> <br> - Wilson is neither the tallest nor the shortest person. <br> <br> - There isn't a girl in the room who is taller than Jay. <br> <br> - Darren is taller than Theresa but shorter than Cassy. <br> <br> - Barry is the tallest of the group. <br> <br> What must be true if Jay is the second tallest?
- Willson is 4th tallest.
- Cassy is not the shortest or second shortest. (Correct answer)
- Darren is the 2nd tallest.
- Willson is 2nd shortest.
- Willson is 5th tallest.
Correct answer: Cassy is not the shortest or second shortest.
Explanation: <br> lf Jay is 2nd tallest, that means Willson can go anywhere but 6th, 2nd or lst tallest positions. Since Cassy is taller than Darren, and Kris is shorter than Darren, each of their positions can be altered by Willson. Thus, the only certainty, is that Cassy cannot be the first or second in line, because Kris and Darren must precede her.
Question 4: A baker is cooking three pizzas, each with two toppings, one at a time. Anchovies, bacon, mushrooms, peppers, sausage, and tomatoes are among the six toppings accessible to the baker. There can be no more than one topping on a pizza. The following rules must be followed while pairing toppings: <br> Peppers and anchovies are incompatible. <br> <br> On the same pizza, mushrooms and tomatoes must be present. <br> <br> If the first pizza has mushrooms, the second pizza must have sausage. <br> <br> Peppers must be added to a pizza after the sausage has been added. <br> <br> Which of the following is a possible pizza and toppings ordering scenario?
- Peppers and bacon; mushrooms and tomatoes; anchovies and sausage
- Mushrooms and tomatoes; sausage and peppers; bacon and anchovies
- Sausage and bacon; mushrooms and tomatoes; anchovies and peppers
- Sausage and anchovies; mushrooms and tomatoes; peppers and bacon (Correct answer)
- Sausage and tomatoes; peppers and anchovies; mushrooms and bacon
Correct answer: Sausage and anchovies; mushrooms and tomatoes; peppers and bacon
Explanation: <br> <br> lf peppers must be on a pizza made after the sausage pizza, then peppers can never be on the first pizza or the same pizza as sausage. We can also easily eliminate any option in which tomatoes and mushrooms are not paired. Remember, sausage is only required to be on the second pizza if mushrooms are on the first.
Question 5: A baker is cooking three pizzas, each with two toppings, one at a time. Anchovies, bacon, mushrooms, peppers, sausage, and tomatoes are among the six toppings accessible to the baker. There can be no more than one topping on a pizza. The following rules must be followed while pairing toppings: <br> <br> Peppers and anchovies are incompatible. <br> <br> On the same pizza, mushrooms and tomatoes must be present. <br> <br> If the first pizza has mushrooms, the second pizza must have sausage. <br> <br> Peppers must be added to a pizza after the sausage has been added. <br> <br> Which of the following could be true when peppers are on the second pizza if mushrooms and tomatoes can be on different pizzas but all other circumstances remain the same?
- Anchovies and sausage are on the third pizza
- Tomatoes are on the second pizza and bacon and anchovies are on the same pizza
- Mushrooms are on the first pizza
- Tomatoes are on the first pizza (Correct answer)
- Sausage and anchovies are on consecutive pizzas
Correct answer: Tomatoes are on the first pizza
Explanation: <br> The crucial point to keep in mind is that, under the new system, Because of the circumstances, mushrooms are not permitted on the first pizza, but tomatoes are permitted. It's possible. If the first pizza has mushrooms, the second pizza must have sausage. However, peppers and sausage may not be on the same page pizza.
Question 6: A lecturer has chosen students to work in groups of four on four different elements of a final presentation. The class consists of eight pupils. Wally, Sam, Yolly, and Zara are juniors, while Lenny, Marius, Nelly, and Orly are seniors. The pairs will present their sections in a certain order, beginning with the first and ending with the fourth. The following restrictions must be adhered to when assigning partners and sections: <br> <br> One senior and one junior must make up each duo. <br> <br> Wally must be matched with Lenny. <br> <br> Nelly isn't compatible with Yolly. <br> <br> Wally must appear in a different group than Zara. <br> <br> Marius may only take the stage first if Orly takes the stage third. <br> <br> Which of the following is a comprehensive and accurate list of possible outcomes for the final?
- Marius and Yolly; Lenny and Wally; Nelly and Zara; Orly and Sam
- Marius and Sam; Lenny and Wally; Orly and Zara; Nelly and Yolly
- Orly and Yolly; Marius and Sam; Lenny and Wally; Nelly and Zara (Correct answer)
- Lenny and Yolly; Nelly and Wally; Marius and Sam; Orly and Zara
- Nelly and Sam; Marius and Zara; Lenny and Wally; Orly and Yolly
Correct answer: Orly and Yolly; Marius and Sam; Lenny and Wally; Nelly and Zara
Explanation: <br> We can eliminate any answer that fails to pair Lenny and Wally. We can then eliminate any answer that has Zara presenting before Wally. Then we eliminate any answer that pairs Nelly with Yolly. We then eliminate any answer that has Marius presenting first without Orly presenting third. By going through all of the rules and eliminating in this fashion we are left with only the correct answer.
Question 7: Five toddlers attend Big Bean Playroom: Amara, Bea, Calix, Danny, and Evia. Five trains, each of a different color, are lined up. Blue, Green, Orange, Red, and Yellow are the colors from left to right. Each child has their own train to play with. Calix despises the colors orange and yellow. Evia and his older brother Danny are separated by only one train. Amanda is seated between two little guys. Danny immediately snatches the blue train and refuses to share it. Calix is playing with which train?
- The orange train.
- The yellow train
- The blue train.
- The green train.
- The red train (Correct answer)
Correct answer: The red train
Explanation: <br> Calix doesn't like orange or yellow, so he can't be playing with those trains. Danny is playing with the blue train. Eviat must be either next to Danny so that Evia is playing with the green train, or two spaces away, in which case Amara must be playing with the green train because that would be the only way she could be between two boys. That leaves the red train.
Question 8: A lecturer has chosen students to work in groups of four on four different elements of a final presentation. The class consists of eight pupils. Wally, Sam, Yolly, and Zara are juniors, while Lenny, Marius, Nelly, and Orly are seniors. The pairs will present their sections in a certain order, beginning with the first and ending with the fourth. The following restrictions must be adhered to when assigning partners and sections: <br> <br> One senior and one junior must make up each duo. <br> <br> Wally must be matched with Lenny. <br> <br> Nelly isn't compatible with Yolly. <br> <br> Wally must appear in a different group than Zara. <br> <br> Marius may only take the stage first if Orly takes the stage third. <br> <br> What is a complete and accurate list of Marius potential partners if he presents in the first group?
- Sam, Zara
- Sam, Yolly (Correct answer)
- Sam, Yolly, Zara
- Yolly, Zara
- Wally, Sam, Yolly, Zara
Correct answer: Sam, Yolly
Explanation: <br> lf Marius presents first, we know that Orly must present third. Then we must put Lenny and Wally in the second slot, since Wally must present before Zara, and that would not be possible if he and Lenny presented fourth. We are left with placing Sam, Yolly and Zara. Zara cannot go first, since she must present after Wally. Therefore the only possiblejuniors who could be paired with Marius are Sam and Yolly.
Question 9: Five toddlers attend Big Bean Playroom: Amara, Bea, Calix, Danny, and Evia. Five trains, each of a different color, are lined up. Blue, Green, Orange, Red, and Yellow are the colors from left to right. Each child has their own train to play with. Calix despises the colors orange and yellow. Evia and his older brother Danny are separated by only one train. Amanda is seated between two little guys. Danny immediately snatches the blue train and refuses to share it. Amara might be playing with which train?
- The yellow train.
- The red train
- The blue train.
- The orange train. (Correct answer)
Correct answer: The orange train.
Explanation <br> The correct answer <br> The orange train
Question 10: A gym teacher wants his six students to form a line from lowest to tallest in height order. Cassy and Kris are two young ladies. The boys are Barry, Jay, Wilson, and Darren. <br> <br> - Wilson is neither the tallest nor the shortest person. <br> <br> - There isn't a girl in the room who is taller than Jay. <br> <br> - Darren is taller than Theresa but shorter than Cassy. <br> <br> - Barry is the tallest of the group. <br> <br> Which of the following is an exact list of people who are not allowed to be third in line?
- Jay, Kris, Darren
- Barry, Kris
- Barry, Jay, Kris
- Jay, Kris, Willson (Correct answer)
- Barry, Kris, Cassy
Correct answer: Jay, Kris, Willson
Explanation: <br> Kris has to be first, because she is shorter than Darren, Cassy, and Jay. Barry must always be 6th. Jonathan has to be either 4th or 5th, because he is after the girls, who surround Darren - which takes up 3 spots.
Question 11: Five toddlers attend Big Bean Playroom: Amara, Bea, Calix, Danny, and Evia. Five trains, each of a different color, are lined up. Blue, Green, Orange, Red, and Yellow are the colors from left to right. Each child has their own train to play with. Calix despises the colors orange and yellow. Evia and his older brother Danny are separated by only one train. Amanda is seated between two little guys. Danny immediately snatches the blue train and refuses to share it. <br> Who is it that is playing with the yellow train?
- Amara
- Danny
- Calix
- Bea (Correct answer)
- Evia
Correct answer: Bea
Explanation: <br> Danny is playing with the blue train. Evia is playing with either the green or the orange train. Calix is playing with the red train. Amara is in between two boys so she can't be playing with the yellow train on the far right. Bea is the only child who could be playing with the yellow train.
Question 12: A gym teacher wants his six students to form a line from lowest to tallest in height order. Cassy and Kris are two young ladies. The boys are Barry, Jay, Wilson, and Darren. <br> <br> - Wilson is neither the tallest nor the shortest person. <br> <br> - There isn't a girl in the room who is taller than Jay. <br> <br> - Darren is taller than Theresa but shorter than Cassy. <br> <br> - Barry is the tallest of the group. <br> <br> Which of the following statements must be correct?
- If Barry is tallest, Cassy is the 3rd tallest.
- If Darren is 2nd in line, Cassy must be 3rd
- If Jay is 3rd tallest, Willson is 4th tallest.
- If Willson is 5th in line, Darren is 2nd in line. (Correct answer)
- If Kris is shortest, Cassy is 2 spots behind her.
Correct answer: If Willson is 5th in line, Darren is 2nd in line.
Explanation: <br> This can be answered by process of elimination. Barry being in 6th doesn't effect anyone, as he is always there. lf Jay is 3rd tallest, the only one who can be the 5th spot is Willson - thus, that answer is wrong. Kris must be the first person in line, so she doesn't affect any positioning. Thus, Cassy could be 3rd, or 4th in line, despite Kris position. Finally, if Darren is 2nd in line, Cassy is not guaranteed to be at the 3rd position. Will can be at the third position, pushing Cassy to the 4th.
Question 13: A playhouse director is attempting to choose seven shows for the forthcoming season. The performances include a mix of comedies, tragedies, one-act plays, and musicals. At least one performance from each of these genres is featured in each season. The following guidelines must be followed by the director while selecting and staging shows: <br> <br> 1. Either a comedy or a musical must be performed first. <br> 2. One-act plays cannot be the season's sixth or seventh show. <br> 3. At least two comedies are required. <br> 4. There can't be two of the same genre in a row. <br> 5. If the third performance isn't a one-act, it must be a musical. <br> Which of the following is a possible season sequence if the second show is a musical and the sixth show is a tragedy?
- comedy, musical, one-acts, comedy, musical, tragedy, one-acts
- comedy, musical, one-acts, tragedy, one-acts, tragedy, musical
- comedy, musical, one-acts, tragedy, one-acts, tragedy, comedy (Correct answer)
- comedy, musical, comedy, tragedy, one-acts, tragedy, musical
- comedy, musical, comedy, tragedy, comedy, tragedy, musical
Correct answer: comedy, musical, one-acts, tragedy, one-acts, tragedy, comedy
Given that the second show is a musical (M) and the sixth is a tragedy (T), the first show must be a comedy (C) to avoid consecutive genres and satisfy Rule 1. Rule 5 states that if the third performance isn't a one-act, it must be a musical; since the second is a musical, the third cannot also be a musical (Rule 4), so the third must be a one-act (O). The correct sequence, C M O T O T C, adheres to all rules: the first show is a comedy, one-act plays are not in the 6th or 7th position, there are at least two comedies, no genres repeat consecutively, the third show is a one-act, and all four genres are present.
Question 14: A playhouse director is attempting to choose seven shows for the forthcoming season. The performances include a mix of comedies, tragedies, one-act plays, and musicals. At least one performance from each of these genres is featured in each season. The following guidelines must be followed by the director while selecting and staging shows: <br> <br> 1. Either a comedy or a musical must be performed first. <br> 2. One-act plays cannot be the season's sixth or seventh show. <br> 3. At least two comedies are required. <br> 4. There can't be two of the same genre in a row. <br> 5. If the third performance isn't a one-act, it must be a musical. <br> Which of the following is NOT a possible season order if the director specifies that every tragedy must be followed by a comedy?
- musical, one-acts, musical, comedy, tragedy, comedy, musical
- musical, comedy, one-acts, comedy, one-acts, tragedy, comedy
- comedy, one-acts, musical, tragedy, comedy, tragedy, comedy
- musical, tragedy, comedy, one-acts, musical, tragedy, comedy (Correct answer)
- comedy, musical, one-acts, tragedy, comedy, musical, comedy
Correct answer: musical, tragedy, comedy, one-acts, musical, tragedy, comedy
The additional condition states that every tragedy must be followed by a comedy. Option D presents the sequence: Musical, Tragedy, Comedy, One-acts, Musical, Tragedy, Comedy (M T C O M T C). This sequence violates Rule 5, which states: 'If the third performance isn't a one-act, it must be a musical.' In option D, the third performance is a Comedy, which is neither a one-act nor a musical, making this sequence impossible. All other options successfully adhere to all the rules, including the new condition.
Question 15: Alex, Bea, Cassy, Darwin, Ericka, Felix, and Gerald are the seven runners who are being timed as they run a mile. At any given time, only one runner can run. The following conditions are in effect: <br> Cassy isn't able to run first or last. <br> <br> Between Felix and Gerald, at least one person must flee. <br> <br> If Alex runs first, Ericka can only sprint directly before or after Darwin. <br> <br> Before Gerald, Bea must flee. <br> <br> Which of the following must be true if Alex runs first, Felix fifth, and Ericka seventh?
- Cassy runs third
- Darwin runs fourth
- Darwin runs third
- Bea runs second (Correct answer)
- Gerald runs second
Correct answer: Bea runs second
Given Alex runs first (A1), Felix fifth (F5), and Ericka seventh (E7). Rule 3 states if Alex runs first, Ericka can only sprint directly before or after Darwin, so Darwin must be sixth (D6) to be directly before Ericka. Rule 2 states at least one person must flee between Felix (F5) and Gerald; this means Gerald cannot be fourth or sixth, leaving Gerald for second or third. Rule 4 states Bea must flee before Gerald; if Gerald were third, Bea would have to be second, which is possible. If Gerald were second, Bea could not be before him. Therefore, Gerald must be third and Bea must be second, making 'Bea runs second' true.
Question 16: A playhouse director is attempting to choose seven shows for the forthcoming season. The performances include a mix of comedies, tragedies, one-act plays, and musicals. At least one performance from each of these genres is featured in each season. The following guidelines must be followed by the director while selecting and staging shows: <br> <br> 1. Either a comedy or a musical must be performed first. <br> 2. One-act plays cannot be the season's sixth or seventh show. <br> 3. At least two comedies are required. <br> 4. There can't be two of the same genre in a row. <br> 5. If the third performance isn't a one-act, it must be a musical. <br> What can we say about the tragedies that have occurred this season that we haven't already said?
- The earliest a tragedy may appear in the season is second.
- The latest a tragedy may appear in the season is seventh.
- The maximum number of tragedies possible is 3.
- The maximum number of tragedies possible is 2 (Correct answer)
- It is possible to have more tragedies than one-acts in a season.
Correct answer: The maximum number of tragedies possible is 2
The question asks for the maximum number of tragedies possible. While the provided answer states the maximum is 2, it is actually possible to construct a valid season sequence with three tragedies. For example, the sequence 'Comedy, Tragedy, Musical, Tragedy, One-acts, Tragedy, Comedy' (C T M T O T C) satisfies all given rules. The first show is a comedy, one-acts is not in the last two spots, there are three comedies, no genres repeat consecutively, the third show is a musical (as it's not a one-act), and all four genres are present. Therefore, the maximum number of tragedies is 3, indicating the provided answer is incorrect.
Free LSAT Logic Reasoning Questions and Answers
Six portraits are hung in a straight line on the wall by a photographer.
Six members of the family are depicted
in the portraits: Lei, May, Naomi, Oscar, Pat, and Sam.
The hanging order of the portraits must adhere to
the following guidelines:
May's portrait must be the first or last on the list.
There must be only one photograph of Naomi and Sam.
After Lei's portrait, but before Sam's, Naomi's must be done.
Which of the following is a suitable hanging order for the portraits?