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CAT 2022 Slot 3 · DILR · Seating Arrangements · medium

CAT 2022 Slot 3 DILR: Movie Seating Arrangement of Six Friends

Six friends — A, B, C, D, E and F — go to watch a movie together and sit in a single row of six numbered seats, 1 to 6, from left to right (seat 1 is the leftmost, seat 6 the rightmost). The following is known about how they are seated:
1. E sits at one of the two end seats (seat 1 or seat 6).
2. C sits immediately to the left of A.
3. F sits exactly two seats to the right of C.
4. D sits immediately to the right of B.
5. Exactly one person is seated between F and D.
6. No one is seated to the left of C (i.e., C occupies the leftmost seat).

Question 1

Single correct option

Who sits in seat number 5?
  1. A. B
  2. B. D
  3. C. E
  4. D. F
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Answer: (B) D

Clue 6 fixes C at seat 1. Clue 2 then puts A at seat 2. Clue 3 puts F two seats right of C, i.e., seat 3. The remaining seats 4, 5, 6 must hold B, D and E. Clue 4 needs D immediately right of B, and clue 5 needs exactly one person between F (seat 3) and D — this forces B=4, D=5 (one person, at seat 4... check: between seat3 and seat5 is seat4, i.e., B, so exactly one person — consistent). E then takes the remaining seat 6, which is indeed an end seat (clue 1). Final order: C-A-F-B-D-E. Seat 5 = D.

Question 2

Single correct option

Who sits immediately to the left of E?
  1. A. B
  2. B. D
  3. C. F
  4. D. C
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Answer: (B) D

From the deduced arrangement C(1)-A(2)-F(3)-B(4)-D(5)-E(6), the seat immediately left of E (seat 6) is seat 5, occupied by D.

Question 3

Numerical answer

How many people are seated between A and D?
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Answer: 2

A is at seat 2 and D is at seat 5. The people strictly between them occupy seats 3 and 4, i.e., F and B — 2 people.

Question 4

Numerical answer

What is the seat number occupied by F?
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Answer: 3

From clue 6, C is at seat 1. From clue 3, F is exactly two seats to the right of C, i.e., seat 1+2 = seat 3.

Question 5

Single correct option

Which of the following pairs of friends are NOT seated next to each other?
  1. A. C and F
  2. B. C and A
  3. C. F and B
  4. D. B and D
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Answer: (A) C and F

In the arrangement C(1)-A(2)-F(3)-B(4)-D(5)-E(6), adjacent pairs are (C,A), (A,F), (F,B) and (B,D). C and F are two seats apart (seats 1 and 3), so they are not seated next to each other.
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Original question written in the CAT 2022 Slot 3 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake