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Six people, C, D, E, O, P and Q, are sitting in a row, facing north. No one sits to the left of E. Only three people sit between E and Q. Only three people sit to the right of O. D sits to the immediate left of O. P is not an immediate neighbor of O. How many people sit between P and C?
One
None
Two
Three Question ID : 441009787832 Option 1 ID : 4410093105328 Option 2 ID : 4410093105327 Option 3 ID : 4410093105329 Option 4 ID : 4410093105330 Status : Answered Chosen Option : A
One
Fix the anchor points starting with the most restricted element (E is at position 1) and build the row linearly.
Fix the anchor points starting with the most restricted element (E is at position 1) and build the row linearly.
Establish fixed positions
There are 6 positions (1-2-3-4-5-6). E is at position 1 (no one to the left of E). Only three people between E and Q means Q must be at position 5 (1+4=5).
Positioning O and D
Only three people sit to the right of O means O must be at position 3 (positions 4, 5, 6 are to the right). D sits to the immediate left of O, so D is at position 2.
Placement of P and C
Remaining spots are 4 and 6. P is not a neighbor of O (position 3), so P cannot be at 4. Thus, P is at position 6. The only remaining person, C, is at position 4. The arrangement is: E(1), D(2), O(3), C(4), Q(5), P(6).
Count between P and C
P is at 6 and C is at 4. The person at position 5 (Q) sits between them. Therefore, there is exactly one person between them.
B: None is incorrect as Q sits between P and C. C: Two is incorrect as only one position (5) separates 4 and 6. D: Three is incorrect because the total row length is only six and positioning constraints prevent this gap.
A is correct because the final arrangement E-D-O-C-Q-P places Q between C (pos 4) and P (pos 6), resulting in exactly one person between them.
In seating arrangement problems, always identify the 'anchors' (people with fixed positions) first to prevent multiple trial-and-error branches.
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