Refer to the data below and answer the questions that follow: A got five movie…

2024

Refer to the data below and answer the questions that follow: A got five movie tickets as a gift in a contest. He and his four friends B, C, D and E decide to go for the movie. Three of the tickets were first-row tickets numbered 101, 102 and 103, and the other two were second-row tickets numbered 201 and 202, from left to right respectively. A and B do not sit in the same row. D and E are sitting next to each other. The person sitting to the right of E is not a member of the group. The unit digits of the ticket numbers of A and C are the same. Who is sitting to the right of C?

  1. A.

    D

  2. B.

    E

  3. C.

    B

  4. D.

    A

Show answer & explanation

Correct answer: C

In a double-row seating puzzle, first lock in the positions forced by the strict boundary and adjacency clues — who must sit at a row's end, who must sit together — before using the remaining numeric-matching clue to place everyone else by elimination; then verify the full layout against every original clue.

Applying the clues step by step:

  1. The first row (left to right) holds tickets 101, 102, 103; the second row holds tickets 201, 202.

  2. D and E sit next to each other, and no group member sits to the right of E — so E must occupy the right-most seat of whichever row the pair sits in. If D and E took the second row's two seats (201, 202), only the first row's three seats would remain for A, B and C, forcing A and B into the same row — which breaks the rule that A and B sit in different rows. So D and E must be in the first row, adjacent, with E on the right: D at 102, E at 103.

  3. The seats left for A, B and C are 101 (first row) and 201, 202 (second row).

  4. A and C's ticket numbers must end in the same digit. Among the three remaining tickets, only 101 and 201 end in 1; 202 ends in 2. So A and C hold 101 and 201 (in some order), and B holds 202.

  5. A and B cannot share a row. B is at 202, in the second row. If A took 201 (also second row), A and B would share a row — not allowed. So A must take 101, in the first row, leaving C at 201.

  6. Final seating: first row — A (101), D (102), E (103); second row — C (201), B (202).

Cross-check against every clue:

  • A (101) and B (202) are in different rows — satisfied.

  • D (102) and E (103) sit next to each other, at the end of the first row — satisfied.

  • The seat to the right of E (103) does not exist within the group's seats — satisfied.

  • A (101) and C (201) both end in the digit 1 — satisfied.

C sits at 201, the left seat of the second row. The seat immediately to its right, 202, belongs to B — so B is sitting to the right of C.

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