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Seven people, A, B, E, F, P, Q and R, are sitting in a row, facing north. Only two people sit to the left of B. Only three people sit between B and R. P sits second to the right of B. Only two people sit between P and A. F sits at some place to the right of E but at some place to the left of Q. How many people sit to the right of F?
Two
Three
Four
One
Three
Fix the position of B first as it is linked to multiple conditions, then place R, P, and A to anchor the row, finally filling E, F, and Q.
Fix the position of B first as it is linked to multiple conditions, then place R, P, and A to anchor the row, finally filling E, F, and Q.
Establish B's position
There are 7 people. Two sit to the left of B, so B is in the 3rd position from the left.
Place R, P, and A
Three people between B and R means R is at position 7. P is second to the right of B, so P is at position 4. Two people between P and A puts A at position 6.
Position E, F, and Q
Remaining positions are 1, 2, and 5. F sits to the right of E but left of Q, implying the order E, F, Q. Since only position 5 is left for Q, E and F take 1 and 2 respectively.
Final count
The order is E(1), B(2), F(3), P(4), Q(5), A(6), R(7). People to the right of F are P, Q, A, R, which equals 4 people.
A: 2 is incorrect. C: 3 is incorrect. D: 1 is incorrect.
B is correct because the final arrangement E-B-F-P-Q-A-R places F at the third position, leaving P, Q, A, and R (4 people) to the right of F.
In row seating puzzles, always identify the person with the most constraints (usually the anchor) and place them first to simplify all subsequent deductions.