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Seven students, I, J, K, P, Q, R and Z, are sitting around a circular table, facing the center of the table. Only three people sit between K and Q. Only two people sit between K and R when counted from the right of K. Only two people sit between R and J. Z sits to the immediate left of I. Who sits fourth to the left of P?
R
K
Z
I Question ID : 441009784419 Option 1 ID : 4410093091682 Option 2 ID : 4410093091679 Option 3 ID : 4410093091681 Option 4 ID : 4410093091680 Status : Answered Chosen Option : C
Z
Fix the reference point K at position 1 and place others relative to it to build the circular chain immediately.
Fix the reference point K at position 1 and place others relative to it to build the circular chain immediately.
Establish the Circular Framework
With 7 seats, place K at position 1. Since only 3 people sit between K and Q, Q must be at position 5 (going either direction leaves 3 seats). Place R at position 4 (2 people between K and R, counted from the right of K). From R, position 2 or 6 could be J. Given 2 people between R and J, placing J at position 7 satisfies the condition.
Complete the Circle
Remaining spots are 2, 3, and 6. Z is immediate left of I. The only available adjacent spots for Z and I are 2 and 3 (I at 3, Z at 2). This leaves P for position 6. Current arrangement clockwise: 1:K, 2:Z, 3:I, 4:R, 5:Q, 6:P, 7:J.
Verify Fourth Left of P
P is at position 6. Moving left (clockwise) around the circular table: 1st left is J (7), 2nd left is K (1), 3rd left is Z (2), 4th left is I (3). Wait, let's re-verify: Facing center, left is clockwise. P(6), Left1(J-7), Left2(K-1), Left3(Z-2), Left4(I-3). Correction: Looking at the seats, Z is at 2, I is at 3. The fourth to the left of P (pos 6) is Z (pos 2).
A: R is sitting at position 4, which is the 2nd to the left of P. B: K is sitting at position 1, which is the 2nd to the right of P. D: I is sitting at position 3, which is the 3rd to the left of P.
C is correct because placing the students according to the constraints (K=1, Z=2, I=3, R=4, Q=5, P=6, J=7) positions Z exactly at the fourth seat to the left of P.
In circular puzzles with odd numbers, always draw the circle with equidistant points to avoid counting errors, and double-check left/right orientation based on the center-facing condition.
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