LSAT-Section-3-Analytical-Reasoning Section Three : Analytical Reasoning

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Showing 55–57 of 60 questions

Question 55

Seven friends, Abe, Bob, Chad, Dolly, Elisa, Frank, and Gregory sit in a VIP enclosure of a stadium to watch a football match. The seats in the enclosure form a 3 x 3 matrix, i.e. 3 rows (front, middle and last) with 3 seats in each row. The following information is known:

Chad sits immediately beside Dolly

Dolly sits in a row immediately behind the row in which Abe is sitting

There is no one sitting on one side of Chad

None of Elisa or Gregory sits immediately beside Abe Bob sits in the last row

Which of the following statements is/are necessary to uniquely determine the seating arrangement of the seven friends?

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  • Abe sits in the same column as Chad and Bob with no one to his right
    Also, since there is no one sitting to the right of D, D must be on the extreme right of the middle row. Thus, we have the following arrangement:

    However, the position of E and G are not fixed. – Insufficient
    General

    Let us name the people Abe, Bob, Chad, Dolly, Elisa, Frank, and Gregory as A, B, C, D, E, F, and G, respectively. We can see that there are 3 × 3 = 9 seats, but there are only 7 people. Thus, the only possible way of distributing the 7 people across the 3 rows is that 2 rows would have 2 members each and one row would have 3 members. However, the exact number of people in a particular row is not yet known and further analysis of the statements needs to be done.
    1st statement: C and D sit beside each other … (i)
    3rd statement: The row in which C and D are sitting, has exactly 2 people sitting in it (since there is no one sitting on the other side of C) … (ii)
    2nd statement: Since D sits in the row just behind A's row, the row where D (and C) sits must be either the middle or the last row
    5th statement: Since B sits in the last row and the row where C and D sits has only 2 people, C and D must be in the middle row … (iii) Thus, it also follows that A must be in the front row … (iv)
    4th statement: We know that neither E nor G sits beside
    Thus, there are 2 possible scenarios:
    If A is in the middle of the front row, none of E or G can sit in the front row; thus, they would sit in the last row … (v) If A is at either end of the front row, only in that scenario can one of E or G also sits in the front row … (vi) Thus, we have:

    Also, in the middle row, since C has D on one side and a vacant seat on the other, C must be in the middle position. Thus, we finally have:

    This is all that can be deduced from the main stem.
    To answer the questions, we need to use the additional information contained in each question.

  • There is no person sitting in front of Dolly

  • There is no person sitting in front of Elisa

  • Abe sits in the same column as Chad and Bob with no one to his right and Elisa has no person sitting in front of her

  • Abe sits in the same column as Chad and Bob with no one to the right of Abe or Dolly

Question 56

In a school, 9 students, Andrew, Bach, Caesar, Drew, Elena, Fischer, Grant, Hughes, and Ileana are selected to form 3 debate teams – Team A, Team B and Team C - to participate in interschool competitions. The following information is known:

Each team will have exactly 3 students and no student can be a part of more than one team

Caesar cannot be selected in Team A if Ileana is not selected in Team A as well

Andrew and Bach are in the same team and so are Elena and Grant

Andrew and Caesar are not in the same team

Bach and Ileana are not in the same team Drew and Elena are not in the same team

If Grant and Ileana are in Team C, which of the following must be true?

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  • Caesar is in Team B
    => C is in Team B
    Thus, the teams are:

    General

    Let us name the people Andrew, Bach, Caesar, Drew, Elena, Fischer, Grant, Hughes, and Ileana as A, B, C, D, E, F, G, H, and I.
    From the 1st statement: There are equal number of members in each team, thus, each team has 3 members.
    From the 3rd statement:
    A and B are in the same team => (A, B) … (i)
    E and G are in the same team => (E, G) … (ii)
    From the 4th and 5th statements: C and I cannot be with A and B: (A, B, C, I) … (iii)
    From the 6th statement and (ii): D and E cannot be together: (E, G, D) … (iv)
    From the 2nd statement: If Ileana is not selected in Team A, Caesar cannot be selected in Team A.
    Thus, we have:
    (I ≠ Team A) => (C ≠ Team A) … (v)
    (C = Team A) => (I = Team A) … (vi) – Note: This is the contra-positive of (v)
    From the information given in the stem, we can only make the above conclusions. The exact team members of the three teams cannot be uniquely determined as of now. Hence, to answer the questions, we would need to use the additional information given in the questions.

  • Drew is in Team A

  • Elena is in Team B
    Thus, we need only one more member in Team
    From (ii), we know that E must be in Team C since E and G must be together. Thus, options [Elena is in Team B] and [Fischer is in Team C] are incorrect.
    From (vi), if C is in Team A, then I will also be in Team A.Since I is in Team C, C is not in Team

  • Fischer is in Team C

  • Hughes is in Team A

Question 57

In a school, 9 students, Andrew, Bach, Caesar, Drew, Elena, Fischer, Grant, Hughes, and Ileana are selected to form 3 debate teams – Team A, Team B and Team C - to participate in interschool competitions. The following information is known:

Each team will have exactly 3 students and no student can be a part of more than one team

Caesar cannot be selected in Team A if Ileana is not selected in Team A as well

Andrew and Bach are in the same team and so are Elena and Grant

Andrew and Caesar are not in the same team

Bach and Ileana are not in the same team

Drew and Elena are not in the same team

In the previous question, in how many possible ways can the members of the other two teams be decided?

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  • One

  • Two

  • Three

  • Four

  • Six