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Six people, C, D, E, O, P and Q, are sitting in a row, facing north. Only two people sit to the right of C. Only two people sit between E and C. C sits to the immediate left of D. P sits to the immediate right of D. Only one person sits between E and Q. How many people sit between O and P?
None
Two
One
Three
Three
Start by fixing the most restricted position (C) and building the row around it; the remaining empty spots will then easily accommodate the other individuals.
Start by fixing the most restricted position (C) and building the row around it; the remaining empty spots will then easily accommodate the other individuals.
Establishing the base positions
There are 6 spots. C has two people to his right, so C is at position 4 (_ _ _ C _ ). C is immediate left of D, so D is at 5 ( _ _ CD ). P is immediate right of D, so P is at 6 ( _ _ CDP).
Placing E and Q
Two people are between E and C. E must be at position 1 (E _ _ CDP). One person sits between E and Q, placing Q at position 3 (E _ QCDP).
Final arrangement and count
The only remaining person is O, who occupies position 2 (E O Q C D P). Counting the people between O (pos 2) and P (pos 6), we have Q, C, and D, which equals 3 people.
A: Zero people between O and P is incorrect as they are separated by Q, C, and D. B: Two people between them is incorrect as Q, C, and D occupy the space. C: One person between them is incorrect as it ignores the three-person gap.
D is correct because the final arrangement E-O-Q-C-D-P confirms that there are exactly three people (Q, C, and D) sitting between O and P.
In linear seating puzzles, always define the full row of six slots first and pencil in the fixed constraints before attempting to place remaining entities.
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