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 third to the right of the one who likes pink. The number of persons sit to the right of D is equal to the square root of the number of persons sit 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.
Which of the following statement is correct?
I. The one who sits 7th to the right of B is manager.
II. Four associates sit between B and the one who likes black.
III. H is manager and sits second to the right of A
- A.
Only II
- B.
Only III
- C.
Only I and II
- D.
Only I and III
- E.
All I, II and III
Show answer & explanation
Correct answer: E
Concept
In a linear (single-row) arrangement, fix the positions that are anchored to a fixed end first, then chain each relative clue ('Nth to the left/right', 'X persons between', 'immediate right') off those anchors.
Two governing rules here: (i) 'four persons between X and Y' means |posX - posY| = 5; (ii) numbering from the left, EVEN seats are managers and ODD seats are associates.
Application — fixing the seats
'No one sits to the left of B' anchors B at the leftmost seat (position 1). B is adjacent to T, so T is at position 2.
T sits sixth to the left of H, so H is at position 2 + 6 = 8. H is adjacent to C and 'pink sits immediate right of C' while 'H likes pink', so C is at 7 and H (pink) at 8; 'H is immediate right of yellow' puts yellow at 7 (C).
'Grey is second to the right of B' fixes grey at 3, and 'grey is third to the left of white' fixes white at 6.
G sits third to the left of A, and four persons sit between A and red, so the gap between A and red is 5. Blue sits exactly between G and red. Combining this midpoint condition with G = A - 3 and the gap of 5 leaves only blue at position 2 (the alternative, blue at 12, forces G onto seat 8 — already H's pink seat — or pushes A and red beyond the row, both impossible); so G is at 3, A at 6 and red at 1.
'Pink (8) is immediate right of C(7)' is consistent; D sits three to the right of pink, so D is at 8 + 3 = 11.
Total seats: persons to the right of D equal the square root of persons between D and red. Between D(11) and red(1) there are 9 persons, and the square root of 9 is 3, so 3 seats lie to the right of D, giving 11 + 3 = 14 seats. Black, 'fourth from the right end', is at position 14 - 3 = 11.
The row (left to right)
Position | Role | Person / Colour |
|---|---|---|
1 | Associate | B — red |
2 | Manager | T — blue |
3 | Associate | G — grey |
6 | Manager | A — white |
7 | Associate | C — yellow |
8 | Manager | H — pink |
11 | Associate | D — black |
Evaluating the statements
Statement I: the seat 7 to the right of B(1) is position 8, an even seat, hence a manager — TRUE.
Statement II: the associates (odd seats) strictly between B(1) and black(11) are positions 3, 5, 7 and 9 — exactly four associates — TRUE.
Statement III: H is at position 8 (even = manager) and 8 = 6 + 2, i.e. second to the right of A(6) — TRUE.
Cross-check
Each relative clue lands on a distinct seat with no collisions across 14 positions, and constraint by constraint the layout is forced uniquely, so all three statements hold simultaneously. Hence the correct choice is 'All I, II and III'.