Directions: Read the given information carefully and answer the questions…

2024

Directions: Read the given information carefully and answer the questions based on it:

A certain number of persons sit in a row facing north. The known persons like different colors. On counting from left, the persons at even positions are managers and the persons at odd positions are associates.
Four persons are in between A and the one who likes red. G sits third to the left of A. The one who likes blue sits exactly between G and the one who likes red. Four persons are in between C and the one who likes blue. The one who likes pink sits immediate right of C. D sits three persons to the right of the one who likes pink. The number of persons sitting to the right of D is equal to the square root of the number of persons sitting between D and the one who likes red. T sits sixth to the left of H who sits adjacent to C. H likes pink and sits immediate right of the one who likes yellow. No one sits to the left of B who sits adjacent to T. The one who likes black sits fourth from right end. The one who likes grey sits second to the right of B and third to the left of the one who likes white.

What is the position of C with respect to the one who likes grey?

  1. A.

    5th to the right

  2. B.

    7th to the right

  3. C.

    8th to the left

  4. D.

    Immediate right

  5. E.

    4th to the right

Show answer & explanation

Correct answer: E

Concept

In a linear seating puzzle, fix the people whose positions are pinned by absolute clues first (an end seat, an "immediate" or "second-to" reference), then chain the relative "k-th to the left/right" and "immediate right of" clues onto those anchors. A position becomes certain only when an absolute reference forces it; the distance-and-square-root style clues fix the total head-count, not the relative placement asked here.

Application (building the row from the fixed anchors)

Count positions 1, 2, 3 ... from the left end. The needed anchors come purely from the absolute clues:

  1. No one sits to the left of B, so B is the leftmost seat: B = position 1.

  2. B sits adjacent to T, and since B is the left end, T must be just to its right: T = position 2.

  3. T sits sixth to the left of H, so H = 2 + 6 = position 8.

  4. H likes pink and the pink-liker sits immediate right of C, so pink = C + 1; since H is the pink-liker, C + 1 = 8, giving C = position 7 (H adjacent to C also checks out).

  5. The grey-liker sits second to the right of B, so grey = 1 + 2 = position 3.

So C is fixed at seat 7 and the grey-liker at seat 3. Counting rightward from the grey seat: 3 -> 4 -> 5 -> 6 -> 7 is four steps, so C sits four seats to the right of the grey-liker.

Cross-check

These five anchors use only the end-seat, the adjacency, the "sixth to the left", the "immediate right" and the "second to the right" clues - none of the distance or square-root clues - so the seats of C and grey are forced independently of the rest of the puzzle. From seat 3 to seat 7 the gap is 7 - 3 = 4, confirming C is the 4th seat to the right of the grey-liker.

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