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E, F, G, H, P, Q, and R, are sitting around a circular table facing the centre (not necessarily in the same order) . Only three people sit between P and G when counted from the right of P. Only F sits between R and P when counted from the left of P. Only two people sit between R and E when counted from the left of R. H is NOT an immediate neighbour of G. How many people sit between F and Q when counted from the left of F?
Two
Three
Four
One
Two
Fix the reference point (P) at the top of the circle and place entities based on absolute positions; since there are 7 people, gaps count clockwise/anticlockwise relative to the center.
Fix the reference point (P) at the top of the circle and place entities based on absolute positions; since there are 7 people, gaps count clockwise/anticlockwise relative to the center.
Establish the Arrangement
With 7 seats in a circle, place P at seat 1. Right of P: Only 3 people between P and G implies G is at seat 5 (1+4=5). Left of P: F is between R and P, so R-F-P are consecutive. Counting left from P (clockwise): P is 1, F is 7, R is 6.
Placement of Remaining Entities
R is at 6. Between R and E (left of R) are two people: 6 minus 2 gives seat 4 (E is at 4). Remaining seats are 2 and 3 for H and Q. Since H is not a neighbor of G (seat 5), H cannot be at seat 4 or 6. Checking remaining positions: seat 2 and seat 3. If H is at 2, it is not a neighbor of G (5). Q is at 3.
Verification and Count
Final positions: P=1, H=2, Q=3, E=4, G=5, R=6, F=7. The question asks for people between F and Q when counted from the left of F. Left of F(7) going clockwise is P(1), H(2), Q(3). The people between F and Q are P and H. Count = 2.
B: Three is incorrect as there are only two people (P, H) between F and Q. C: Four is incorrect as it miscounts the circular path. D: One is incorrect as it ignores the position of H between F and Q.
A is correct because when counting from the left of F (moving clockwise in the circular arrangement P-H-Q-E-G-R-F), the two individuals positioned between F and Q are P and H.
In circular arrangement puzzles, always determine if the 'left' or 'right' refers to the subject's perspective (facing center), which corresponds to clockwise and anticlockwise movements respectively.