Six people, C, D, E, O, P and Q, are sitting in a row, facing north. Only four people sit between O and Q. C sits to the immediate left of Q. Only one person sits between C and E. P sits at some place to the left of D. How many people sit between P and D?
One
Only four people sit between O and Q, which in a row of six is only possible if O and Q occupy the two extreme end seats, seats 1 and 6.
Testing O at seat 1 and Q at seat 6, C sits immediately to the left of Q, so C takes seat 5.
Only one person sits between C and E, so E must be two seats away from seat 5, placing E at seat 3.
The two remaining seats, 2 and 4, go to P and D, and since P sits to the left of D, P takes seat 2 and D takes seat 4.
The final arrangement from left to right is O, P, E, D, C, Q.
Since P is at seat 2 and D is at seat 4, only seat 3, occupied by E, lies between them.
Hence, one person sits between P and D.
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Important Questions from Linear Arrangement
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