Read the given information carefully and answer the questions that follow.…

2025

Read the given information carefully and answer the questions that follow.

Eleven friends X, Y, Z, A, B, C, D, E, F, G, and H are sitting in the first row of the stadium watching a cricket match.

E is to the immediate left of A and third to the right of F.

G is the immediate neighbour of X and Y and third to the left of D.

X is the second to the right of B, who is at one of the ends.

C is sitting next to the right of A and A is second to the right of Z.

Which of the following statements is true with respect to the above arrangement?

  1. A.

    There are three persons sitting between A and D

  2. B.

    H is between X and G.

  3. C.

    Y is sitting between G and F

  4. D.

    D and Z are neighbours sitting to the immediate right of E

Attempted by 6 students.

Show answer & explanation

Correct answer: C

Concept

In a linear seating puzzle, each clue fixes a spacing between two people in the row. The standard method is to convert every clue into a position equation for the row of seats, fix the anchors first (an end position and a chain of spacings), solve the remaining unknowns by substitution, and only then read off the required relationship between any two people.

Application

  1. B is at one of the ends, and X is second to the right of B. If B were at the right end, X would fall outside the row, so B must be at the left end (seat 1), giving X = seat 3.

  2. G is the immediate neighbour of both X and Y, so G sits directly between them in a block of three consecutive seats. Since G is adjacent to X (seat 3), G is at seat 2 or seat 4; seat 2 would force Y into the already-occupied seat 1, so G = seat 4 and Y = seat 5 (the block X-G-Y occupies seats 3-4-5).

  3. G is third to the left of D, so D = seat 4 + 3 = seat 7.

  4. C sits immediately to the right of A, and A is second to the right of Z, so C = A + 1 and Z = A - 2.

  5. E is immediately to the left of A, and E is third to the right of F, so A = E + 1 and F = E - 3.

  6. The seats already fixed are 1, 3, 4, 5, 7; the six people Z, A, C, E, F, H must occupy the six remaining seats 2, 6, 8, 9, 10, 11. Taking A = seat 10 satisfies every spacing relation at once: E = 9, C = 11, Z = 8, F = 6, all of which lie among the remaining seats, leaving seat 2 for H.

  7. Final arrangement (left to right): B, H, X, G, Y, F, D, Z, E, A, C.

Cross-check

Checking every original clue against this final arrangement confirms it is consistent:

  • E is immediately left of A (seats 9 and 10).

  • E is third to the right of F (seats 6 and 9).

  • G is the immediate neighbour of both X and Y (seats 3, 4, 5).

  • G is third to the left of D (seats 4 and 7).

  • X is second to the right of B (seats 1 and 3).

  • B is at an end (seat 1).

  • C sits immediately to the right of A (seats 10 and 11).

  • A is second to the right of Z (seats 8 and 10).

So in this row, Y sits directly between G and F.

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