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Seven people, A, B, E, G, 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. G 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 G?
Three
Four
One
Two
Three
Start by placing the most constrained person (B), then place R, P, and A relative to B. Finally, fit the remaining block (E, G, Q) into the available gaps.
Start by placing the most constrained person (B), then place R, P, and A relative to B. Finally, fit the remaining block (E, G, Q) into the available gaps.
Establish the base positions
There are 7 positions. 'Only two people sit to the left of B' means B is at position 3 ( _ _ B _ _ _ _ ). 'Three people between B and R' means R must be at position 7 ( _ _ B _ _ _ R ). 'P sits second to the right of B' places P at position 5 ( _ _ B _ P _ R ).
Position A and the remaining people
With P at 5, 'Only two people between P and A' means A must be at position 2 ( _ A B _ P _ R ). The remaining positions are 1, 4, and 6. We have E, G, and Q left. The rule 'G sits at some place to the right of E but left of Q' implies the order E-G-Q in the remaining slots 1, 4, and 6. This fills positions as: 1:E, 2:A, 3:B, 4:G, 5:P, 6:Q, 7:R.
Calculate the answer
The final arrangement from left to right is E, A, B, G, P, Q, R. We need to find how many people sit to the right of G. The people to the right of G (position 4) are P (5), Q (6), and R (7). That is 3 people.
B: Incorrect, there are 3, not 4, people to the right of G. C: Incorrect, one person is to the left of E, not the right. D: Incorrect, only 3 people are to the right of G, not 2.
A is correct because the final arrangement is E, A, B, G, P, Q, R, which leaves three people (P, Q, R) to the right of G.
In linear seating puzzles, always prioritize fixed positions (like 'B is at 3') before handling relative constraints ('to the right of').
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