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 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.
How many associates sit to the right of the one who likes white?
- A.
Three
- B.
Four
- C.
Five
- D.
Six
- E.
More than six
Show answer & explanation
Correct answer: B
Concept
In a single-row arrangement all facing the same way, every clue is a fixed offset between seat positions numbered 1 to N from the left. Anchor the row first from the strongest "hard-stop" clue (someone with no one to their left is seat 1), then chain each "X-to-the-left/right" and "P persons between" clue into exact positions. Here a second labelling is overlaid on the seats: counting from the left, every EVEN position is a manager and every ODD position is an associate, so a person's role is decided purely by whether their seat number is even or odd.
Application
"No one sits to the left of B" fixes B at seat 1. B is adjacent to T, so T is at seat 2.
T sits sixth to the left of H, so H is at seat 8. H is adjacent to C, and "pink is immediate right of C" with "H likes pink" force H just right of C: C at seat 7, H (pink) at seat 8.
"H is immediate right of the one who likes yellow" makes C (seat 7) the yellow person.
Grey is second to the right of B, so grey is at seat 3 (this is G); grey is third to the left of white, so white is at seat 6.
Four persons between C and blue means |7 − blue| = 5, giving blue at seat 2 (seat 12 is ruled out later by the chain). Blue is the midpoint of G and red, and G is at seat 3, so red is at seat 1 (B). Four persons between A and red gives |A − 1| = 5, so A is at seat 6 — the white person — and G = A − 3 = seat 3, consistent.
D is three persons to the right of pink (seat 8), so D is at seat 11. The persons to the right of D must equal √(persons between D and red): with red at seat 1, persons between = 9, whose square root is 3, so exactly 3 seats lie to the right of D — fixing the row length at N = 14. Black is fourth from the right end = seat 11 (D).
Cross-check
Seat 6 is even, so white is a manager, and the four odd seats 7, 9, 11, 13 all lie strictly to its right within the 14-seat row; seats 8, 10, 12, 14 are even (managers) and are not counted. The total of 14 seats, B at the left end, and D with exactly 3 seats to his right (seats 12, 13, 14) all hold, so the count of associates to the right of white is 4.
Reading the answer
The one who likes white sits at seat 6. The seats to its right are 7 through 14. Associates occupy the ODD seats, so to the right of seat 6 the associates are at seats 7, 9, 11 and 13 — four associates.