H, I, J, K, Q, R and S are sitting around a circular table facing the centre.…
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H, I, J, K, Q, R and S are sitting around a circular table facing the centre. Only two people sit between Q and I when counted from the right of Q. Only three people sit between H and S when counted from the right of S. I sits immediately to the right of S. R sits immediately to the right of K. Who sits fourth to the right of J?
Answer: C. R — ConceptIn a circular seating arrangement, when everyone faces the centre, a person’s right is anticlockwise. Fixing one person at an arbitrary seat removes…
- A.
H
- B.
K
- C.
R
- D.
Q
Attempted by 22 students.
Show answer & explanation
Correct answer: C
Concept
In a circular seating arrangement, when everyone faces the centre, a person’s right is anticlockwise. Fixing one person at an arbitrary seat removes rotational ambiguity; all other positions must then follow the clues in one consistent direction.
Application
Place S at seat 0 and number seats 0 to 6 clockwise. Since I is immediately to the right of S, place I at seat 6.
Two people sit between Q and I when counted to the right of Q, so I is third to the right of Q. This places Q at seat 2.
Three people sit between H and S when counted to the right of S, so H is fourth to the right of S. This places H at seat 3.
Seats 1, 4 and 5 remain for J, K and R. The condition that R is immediately to the right of K forces K at seat 5 and R at seat 4; therefore J occupies seat 1.
Cross-check
From Q at seat 2, moving right reaches seats 1, 0 and 6, so I is third to the right with two people between them.
From S at seat 0, the fourth rightward seat is 3, which contains H; R at seat 4 is immediately to the right of K at seat 5.
From J at seat 1, four rightward moves reach seats 0, 6, 5 and 4. Seat 4 contains R.
Therefore, R sits fourth to the right of J.