LAST LAST Certifications LSAT-TEST Questions & Answers

• Question 11:

  In a class, six lectures are scheduled in a day on six different subjects – Physics, Chemistry, History, Language, Mathematics and Geography, not necessarily in this order. The following information is known regarding the schedule: The lecture on Chemistry is scheduled after the lecture on History The lecture on Geography is scheduled after the lecture on Language The lecture on Language is scheduled three slots after the lecture on Physics The lecture on History is either scheduled on the first or the third slot

  If the lectures on Chemistry and Mathematics occur on consecutive slots, what must be the slot for the lecture on Physics?

  A. First

  B. Second

  C. Third

  D. Fourth

  E. Fifth

  Correct Answer: B

  Explanation: Since the lectures on Chemistry and Physics occur on consecutive slots, we have the following scenario from Case I:

  

  General

  Let us denote the six slots using the numbers 1 through 6 as shown below:

  

  We need to fill in the names of the subjects in each slot depending on the information provided.

  Let us name the subjects Physics, Chemistry, History, Language, Mathematics and Geography as P, C, H,

  L, M and G.

  Let us look at the information given in the question stem:

  1.

  The lecture on Chemistry is scheduled after the lecture on History:

  The "..." above implies that there could be none or at least 1 subject between H and C.

  2.

  The lecture on Geography is scheduled after the lecture on Language:

  3.

  The lecture on Language is scheduled three slots after the lecture on Physics:

  Thus, from '2' and '3' above:

  4.

  The lecture on History is either scheduled on the first or the third slot:

  

  

  

  

  

  Let us look at possible scenarios from the above conditions: Case I: H is in the 1st slot:

  

  Note: If H is 1st, then P must come 2nd and L must be after two slots, i.e., at slot 5th, else G cannot be accommodated after L.

  Case II: H is in the 3rd slot: Scenario A: P is in the 1st slot:

  

  Note: C and G must follow H and L respectively, so these can be in the 5th or 6th slots. Thus, M must be in the 2nd slot.

  Scenario B: P is in the 2nd slot: Note: If P is 2nd, L must be 5th; hence, G must be 6th. Also, since C comes after H, C must be 4th; hence, M must be 1st.

  

  Thus, we have listed all the possible scenarios above.

• Question 12:

  In a class, six lectures are scheduled in a day on six different subjects – Physics, Chemistry, History, Language, Mathematics and Geography, not necessarily in this order. The following information is known regarding the schedule: The lecture on Chemistry is scheduled after the lecture on History The lecture on Geography is scheduled after the lecture on Language The lecture on Language is scheduled three slots after the lecture on Physics The lecture on History is either scheduled on the first or the third slot

  Which of the following is a complete list of all lectures that can be scheduled on the second slot?

  A. Physics

  B. Mathematics

  C. Physics and Mathematics

  D. Chemistry and Mathematics

  E. Physics, Chemistry and Mathematics

  Correct Answer: C

  Looking at all possible scenarios discussed below, we find that, in the 2nd slot, we can have Physics

  (Case I and Case II, Scenario B), or Mathematics (Case II, Scenario A).

  General

  Let us denote the six slots using the numbers 1 through 6 as shown below:

  

  We need to fill in the names of the subjects in each slot depending on the information provided.

  Let us name the subjects Physics, Chemistry, History, Language, Mathematics and Geography as P, C, H,

  L, M and G.

  Let us look at the information given in the question stem:

  1.

  The lecture on Chemistry is scheduled after the lecture on History:

  The "..." above implies that there could be none or at least 1 subject between H and C.

  2.

  The lecture on Geography is scheduled after the lecture on Language:

  3.

  The lecture on Language is scheduled three slots after the lecture on Physics:

  Thus, from '2' and '3' above:

  4.

  The lecture on History is either scheduled on the first or the third slot:

  

  

  

  

  

  Let us look at possible scenarios from the above conditions: Case I: H is in the 1st slot:

  

  Note: If H is 1st, then P must come 2nd and L must be after two slots, i.e., at slot 5th, else G cannot be accommodated after L.

  Case II: H is in the 3rd slot: Scenario A: P is in the 1st slot:

  

  Note: C and G must follow H and L respectively, so these can be in the 5th or 6th slots. Thus, M must be in the 2nd slot.

  Scenario B: P is in the 2nd slot: Note: If P is 2nd, L must be 5th; hence, G must be 6th. Also, since C comes after H, C must be 4th; hence, M must be 1st.

  

  Thus, we have listed all the possible scenarios above.

• Question 13:

  In a class, six lectures are scheduled in a day on six different subjects – Physics, Chemistry, History, Language, Mathematics and Geography, not necessarily in this order. The following information is known regarding the schedule: The lecture on Chemistry is scheduled after the lecture on History The lecture on Geography is scheduled after the lecture on Language The lecture on Language is scheduled three slots after the lecture on Physics The lecture on History is either scheduled on the first or the third slot

  Which of the following lectures can be scheduled on the third, fourth and fifth slots?

  A. Physics

  B. Chemistry

  C. Language

  D. Mathematics

  E. Geography

  Correct Answer: B

  Explanation: Looking at all possible scenarios discussed below, we find that Chemistry can be 3rd or 4th (Case I) or 5th (Case II, Scenario A).

  General

  Let us denote the six slots using the numbers 1 through 6 as shown below:

  

  We need to fill in the names of the subjects in each slot depending on the information provided.

  Let us name the subjects Physics, Chemistry, History, Language, Mathematics and Geography as P, C, H,

  L, M and G.

  Let us look at the information given in the question stem:

  1.

  The lecture on Chemistry is scheduled after the lecture on History:

  The "..." above implies that there could be none or at least 1 subject between H and C.

  2.

  The lecture on Geography is scheduled after the lecture on Language:

  3.

  The lecture on Language is scheduled three slots after the lecture on Physics:

  Thus, from '2' and '3' above:

  4.

  The lecture on History is either scheduled on the first or the third slot:

  

  

  

  

  

  Let us look at possible scenarios from the above conditions: Case I: H is in the 1st slot:

  

  Note: If H is 1st, then P must come 2nd and L must be after two slots, i.e., at slot 5th, else G cannot be accommodated after L.

  Case II: H is in the 3rd slot: Scenario A: P is in the 1st slot: Note: C and G must follow H and L respectively, so these can be in the 5th or 6th slots. Thus, M must be in the 2nd slot.

  

  Scenario B: P is in the 2nd slot:

  

  Note: If P is 2nd, L must be 5th; hence, G must be 6th. Also, since C comes after H, C must be 4th; hence, M must be 1st.

  Thus, we have listed all the possible scenarios above.

• Question 14:

  In a class, six lectures are scheduled in a day on six different subjects ?Physics, Chemistry, History, Language, Mathematics and Geography, not necessarily in this order. The following information is known regarding the schedule: The lecture on Chemistry is scheduled after the lecture on History The lecture on Geography is scheduled after the lecture on Language The lecture on Language is scheduled three slots after the lecture on Physics The lecture on History is either scheduled on the first or the third slot

  If the lecture on History is scheduled on the first slot, which lecture must be the last in schedule?

  A. Geography

  B. Physics

  C. Chemistry

  D. Mathematics

  E. Language

  Correct Answer: A

  Since H is in the 1st slot, we have from Case I:

  

  General

  Let us denote the six slots using the numbers 1 through 6 as shown below:

  

  We need to fill in the names of the subjects in each slot depending on the information provided.

  Let us name the subjects Physics, Chemistry, History, Language, Mathematics and Geography as P, C, H,

  L, M and G.

  Let us look at the information given in the question stem:

  1.

  The lecture on Chemistry is scheduled after the lecture on History:

  The "..." above implies that there could be none or at least 1 subject between H and C.

  2.

  The lecture on Geography is scheduled after the lecture on Language:

  3.

  The lecture on Language is scheduled three slots after the lecture on Physics:

  Thus, from '2' and '3' above:

  4.

  The lecture on History is either scheduled on the first or the third slot:

  

  

  

  

  

  Let us look at possible scenarios from the above conditions: Case I: H is in the 1st slot:

  

  Note: If H is 1st, then P must come 2nd and L must be after two slots, i.e., at slot 5th, else G cannot be accommodated after L.

  Case II: H is in the 3rd slot: Scenario A: P is in the 1st slot:

  

  Note: C and G must follow H and L respectively, so these can be in the 5th or 6th slots. Thus, M must be in the 2nd slot.

  Scenario B: P is in the 2nd slot:

  

  Note: If P is 2nd, L must be 5th; hence, G must be 6th. Also, since C comes after H, C must be 4th; hence, M must be 1st.

  Thus, we have listed all the possible scenarios above.

• Question 15:

  In a school function ceremony, seven students, Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant have to deliver their performances in seven consecutive slots, not necessarily in the order of their given names. The following information is known about the order in which the students perform: Chad performs immediately before Dom Grant performs sometime after Chad There are exactly two performances made between the performances of Amy and Elisa

  What is the maximum number of performers between Fischer and Grant?

  A. 1

  B. 2

  C. 3

  D. 4

  E. 5

  Correct Answer: E

  To have the maximum number of performers between F and G, we would typically want them to be the 1st and 7th performers, in any order.

  However, we know that G follows C and D. thus, the best choice for G is the 7th slot.

  We now need to check the earliest possible slot for F.

  We can observe that F is a floating element as there is no conditions set on F. Thus, F can easily take the

  1st slot.

  One of the possible orders is shown below:

  

  Thus, there can be a maximum of five performers between F and G.

  General

  Let us denote the seven slots using the numbers 1 through 7 as shown below:

  

  We need to fill in the names of the performers in each slot depending on the information provided.

  Let us name the performers Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant as A, B, C, D, E, F and G.

  Let us look at the information given in the question stem and see what we have got:

  1.

  Since Chad performs immediately before Dom, we can write "CD" as an element implying that there is no one else performing between them.

  2.

  Since Grant performs sometime after Chad, and Chad and Dom are consecutive performers, Grant must perform after Dom as well. Thus, we can represent the information as shown below:

  The "..." above implies that there could be none or at least 1 performer between D and G.

  3.

  There are exactly two performers between Amy and Elisa. This information can be represented as shown below:

  

  

  Thus, we see that the above information is NOT sufficient to assign even one of the performers to his/her corresponding slot number. This implies that there would possibly be multiple solutions to the arrangements of the performers. Thus, in order to solve the questions, we would need to use the information given in the questions.

• Question 16:

  In a school function ceremony, seven students, Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant have to deliver their performances in seven consecutive slots, not necessarily in the order of their given names. The following information is known about the order in which the students perform: Chad performs immediately before Dom Grant performs sometime after Chad There are exactly two performances made between the performances of Amy and Elisa

  If it is known that Bob performs before Fischer, for which of the following positions of Amy can the exact order of all the performers be determined?

  A. Second

  B. Third

  C. Fourth

  D. Fifth

  E. None of the seven positions

  Correct Answer: E

  Here, we need to find the position of Amy such that the exact order of all the performers can be determined; and to answer that we have another piece of information ?Bob performs before Fischer.

  We know that there are exactly two performers between A and E. However, there are two possibilities: A performs before E OR E performs before A. Thus, we have multiple scenarios as shown below:

  

  Case I: A in the 1st place

  Here, clearly, C and D can be either 2nd and 3rd, or 5th and 6th without violating any conditions given. Also, in each case, B can come before F. Thus, the exact order cannot be determined. Thus, A cannot be in the 1st slot (though the answer options did not have this slot at all, we still did this to show why the 1st slot is not a viable option).

  Case II: A in the 2nd place

  

  Here, there are multiple possibilities for B, F and G: B in 1st slot, F in 6th and G in 7th

  B in 1st slot, G in 6th and F in 7th Thus, the exact order cannot be determined. Case III: A in the 3rd place

  

  Here, clearly, C and D can be either 1st and 2nd, or 4th and 5th. Thus, the exact order cannot be determined.

  Case IV: A in the 4th place

  

  Here too, the positions of C and D cannot be uniquely determined. In fact, the position of E is also doubtful. Thus, the exact order cannot be determined.

  

  Case V: A in the 5th place

  Here, the position of G cannot be uniquely determined. Thus, the exact order cannot be determined. Case VI: A in the 6th place

  

  Here too, the positions of C and D cannot be uniquely determined. Thus, the exact order cannot be determined.

  Case VII: A in the 7th place

  

  Here too, the positions of C and D cannot be uniquely determined. Thus, the exact order cannot be

  determined.

  General

  Let us denote the seven slots using the numbers 1 through 7 as shown below:

  

  We need to fill in the names of the performers in each slot depending on the information provided.

  Let us name the performers Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant as A, B, C, D, E, F and G.

  Let us look at the information given in the question stem and see what we have got:

  1.

  Since Chad performs immediately before Dom, we can write "CD" as an element implying that there is no one else performing between them.

  2.

  Since Grant performs sometime after Chad, and Chad and Dom are consecutive performers, Grant must perform after Dom as well. Thus, we can represent the information as shown below:

  The "..." above implies that there could be none or at least 1 performer between D and G.

  3.

  There are exactly two performers between Amy and Elisa. This information can be represented as shown below:

  

  

  Thus, we see that the above information is NOT sufficient to assign even one of the performers to his/her corresponding slot number. This implies that there would possibly be multiple solutions to the arrangements of the performers. Thus, in order to solve the questions, we would need to use the information given in the questions.

• Question 17:

  In a school function ceremony, seven students, Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant have to deliver their performances in seven consecutive slots, not necessarily in the order of their given names. The following information is known about the order in which the students perform: Chad performs immediately before Dom Grant performs sometime after Chad There are exactly two performances made between the performances of Amy and Elisa

  What is the latest slot in which Chad could perform?

  A. Second

  B. Third

  C. Fourth

  D. Fifth

  E. Sixth

  Correct Answer: D

  We need to find the latest performance slot of Chad. This is a relatively easier question.

  We know very well that D must follow C. Also, G must come after D.

  Thus, the latest position of C occurs when G is 7th, D is 6th, and hence, C is 5th.

  General

  Let us denote the seven slots using the numbers 1 through 7 as shown below:

  

  We need to fill in the names of the performers in each slot depending on the information provided.

  Let us name the performers Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant as A, B, C, D, E, F and G.

  Let us look at the information given in the question stem and see what we have got:

  1.

  Since Chad performs immediately before Dom, we can write "CD" as an element implying that there is no one else performing between them.

  2.

  Since Grant performs sometime after Chad, and Chad and Dom are consecutive performers, Grant must perform after Dom as well. Thus, we can represent the information as shown below:

  The "..." above implies that there could be none or at least 1 performer between D and G.

  3.

  There are exactly two performers between Amy and Elisa. This information can be represented as shown below:

  

  

  Thus, we see that the above information is NOT sufficient to assign even one of the performers to his/her corresponding slot number. This implies that there would possibly be multiple solutions to the arrangements of the performers. Thus, in order to solve the questions, we would need to use the information given in the questions.

• Question 18:

  In a school function ceremony, seven students, Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant have to deliver their performances in seven consecutive slots, not necessarily in the order of their given names. The following information is known about the order in which the students perform: Chad performs immediately before Dom Grant performs sometime after Chad There are exactly two performances made between the performances of Amy and Elisa

  If Bob and Fischer dislike one another and want to perform as far away from each other as possible, who could be the first two performers respectively?

  I. Amy and Bob

  II. Fischer and Amy

  III.

  Bob and Amy

  A.

  Only I

  B.

  Only II

  C.

  Only III

  D.

  Both I and II

  E.

  Both II and III

  Correct Answer: E

  The question says that Bob and Fischer should be as far apart as possible. Thus, we would ideally like to

  keep Bob and Fischer at the 1st and 7th slots, in any order. Thus, we have:

  Case I:

  

  Case II: Thus, we would try out the options where B and F are either in the 1st or the 7th slot. If such a scenario fails to give an agreeable solution, only then we would look at other possibilities.

  

  Statement I: This puts B in 2nd slot, hence we would keep it aside for the time being.

  Statement II: This puts F in the 1st slot. Hence, we would explore this further. The option also puts A in 2nd slot. Thus, we have, from Case II:

  

  Note: Since A is in the 2nd slot, E is 5th, C and D, being consecutive must be 3rd and 4th, and G must be

  in the only position left, i.e. 6th.

  This clearly satisfies all the conditions.

  Statement III: This also puts B in the 1st slot. Hence, we explore this option too. Using Case I, we have:

  

  Note: since A is 2nd, E is 5th; hence C and D are 3rd and 4th, and G is 6th. Thus, this option also satisfies all conditions General Let us denote the seven slots using the numbers 1 through 7 as shown below:

  

  We need to fill in the names of the performers in each slot depending on the information provided.

  Let us name the performers Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant as A, B, C, D, E, F and G.

  Let us look at the information given in the question stem and see what we have got:

  1.

  Since Chad performs immediately before Dom, we can write "CD" as an element implying that there is no one else performing between them.

  2.

  Since Grant performs sometime after Chad, and Chad and Dom are consecutive performers, Grant must perform after Dom as well. Thus, we can represent the information as shown below:

  The "..." above implies that there could be none or at least 1 performer between D and G.

  3.

  There are exactly two performers between Amy and Elisa. This information can be represented as shown below:

  

  

  Thus, we see that the above information is NOT sufficient to assign even one of the performers to his/her corresponding slot number. This implies that there would possibly be multiple solutions to the arrangements of the performers. Thus, in order to solve the questions, we would need to use the information given in the questions.

• Question 19:

  In a school function ceremony, seven students, Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant have to deliver their performances in seven consecutive slots, not necessarily in the order of their given names. The following information is known about the order in which the students perform: Chad performs immediately before Dom Grant performs sometime after Chad There are exactly two performances made between the performances of Amy and Elisa

  In which of the following slots can Grant not perform?

  A. Second

  B. Third

  C. Fourth

  D. Fifth

  E. Sixth

  Correct Answer: A

  We already know that G must follow both C and D. Thus, the earliest G can perform is when C is 1st, D is 2nd, and hence, G is 3rd.

  Thus, G cannot be the 2nd performer.

  General

  Let us denote the seven slots using the numbers 1 through 7 as shown below:

  

  We need to fill in the names of the performers in each slot depending on the information provided.

  Let us name the performers Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant as A, B, C, D, E, F and G.

  Let us look at the information given in the question stem and see what we have got:

  1.

  Since Chad performs immediately before Dom, we can write "CD" as an element implying that there is no one else performing between them.

  2.

  Since Grant performs sometime after Chad, and Chad and Dom are consecutive performers, Grant must perform after Dom as well. Thus, we can represent the information as shown below:

  The "..." above implies that there could be none or at least 1 performer between D and G.

  3.

  There are exactly two performers between Amy and Elisa. This information can be represented as shown below:

  

  

  Thus, we see that the above information is NOT sufficient to assign even one of the performers to his/her corresponding slot number. This implies that there would possibly be multiple solutions to the arrangements of the performers. Thus, in order to solve the questions, we would need to use the information given in the questions.

• Question 20:

  In a school function ceremony, seven students, Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant have to

  deliver their performances in seven consecutive slots, not necessarily in the order of their given names.

  The following information is known about the order in which the students perform:

  Chad performs immediately before

  Dom Grant performs sometime after Chad There are exactly two performances made between the performances of Amy and Elisa

  If Amy was the second to perform, who was the third performer in the ceremony?

  A. Bob

  B. Chad

  C. Dom

  D. Grant

  E. Fischer

  Correct Answer: B

  We know that Amy is the second performer. Thus, we can deduce that E must be in the 5th slot (since E cannot be before A in this case).

  

  We know that C and D are consecutive with G following them. Thus, the only way possible is if C and D take up the 3rd and 4th slots. However, G can be either in the 6th or 7th slot. This is represented below:

  Case I:

  

  Case II:

  

  However, in any of the three scenarios, the 3rd performer is Chad.

  General

  Let us denote the seven slots using the numbers 1 through 7 as shown below:

  

  We need to fill in the names of the performers in each slot depending on the information provided.

  Let us name the performers Amy, Bob, Chad, Dom, Elisa, Fischer, and Grant as A, B, C, D, E, F and G.

  Let us look at the information given in the question stem and see what we have got:

  1.

  Since Chad performs immediately before Dom, we can write "CD" as an element implying that there is

  no one else performing between them.

  2.

  Since Grant performs sometime after Chad, and Chad and Dom are consecutive performers, Grant must perform after Dom as well. Thus, we can represent the information as shown below:

  The "..." above implies that there could be none or at least 1 performer between D and G.

  3.

  There are exactly two performers between Amy and Elisa. This information can be represented as shown below:

  

  

  Thus, we see that the above information is NOT sufficient to assign even one of the performers to his/her corresponding slot number. This implies that there would possibly be multiple solutions to the arrangements of the performers. Thus, in order to solve the questions, we would need to use the information given in the questions.