How many people sit between D and Q when counted from the right of Q?
Circular Table Setup
Seven individuals (A, B, C, D, P, Q, R) are seated around a circular table, all facing the center. We will determine their seating arrangement step-by-step using the provided clues.
Seating Positions Deduction
- Clue 1: 'A sits to the immediate right of D.' We can represent this as D followed immediately by A in clockwise order (D A).
- Clue 2: 'Only three people sit between A and C when counted from the left of A.' 'Left of A' means moving anti-clockwise. If we start at A and move anti-clockwise, skipping three people, we reach C. In a 7-person circle, this means C is 4 positions away from A anti-clockwise. Let's assign seats 1 to 7 clockwise. If D is at 1, A is at 2. Counting anti-clockwise from A (2): Seat 1 (D), Seat 7, Seat 6. The third person skipped is at Seat 6. Thus, C must be at Seat 5. The partial arrangement is: D(1), A(2), _(3), _(4), C(5), _(6), _(7).
- Clue 3: 'Only three people sit between D and P.' D is at seat 1. Counting anti-clockwise, we skip seats 7, 6, and 5 to reach P. This places P at seat 4. The arrangement becomes: D(1), A(2), _(3), P(4), C(5), _(6), _(7).
Final Arrangement Check
- Clue 4: 'B sits to the immediate right of Q.' This means Q is immediately followed by B in the clockwise direction (Q B).
- The remaining seats are 3, 6, and 7. The remaining people are R, Q, and B.
- To satisfy the 'Q B' condition, Q must be in seat 6 and B in seat 7. (Placing Q at seat 3 would require B at seat 4, which is occupied by P).
- The arrangement is now: D(1), A(2), _(3), P(4), C(5), Q(6), B(7).
- The only remaining seat is 3, which must be occupied by R.
- The final clockwise seating order is: D - A - R - P - C - Q - B.
Counting People Between D and Q
The question asks for the number of people between D and Q, counting from the right of Q.
- Identify the positions: D is at seat 1, and Q is at seat 6.
- 'Counting from the right of Q' means starting at Q and moving clockwise.
- The sequence moving clockwise from Q is: Q (seat 6) -> B (seat 7) -> D (seat 1).
- The individuals situated strictly between D and Q along this path are those encountered after Q and before D.
- In the sequence Q -> B -> D, the person between Q and D is B.
- Therefore, there is exactly 1 person between D and Q when counted from the right of Q.
Important Questions from Seating Arrangement (Notes)
- Five friends are sitting on a bench in the following order :
(i) P is sitting next to Q and R is next to S.
(ii) S is not sitting with T; T is on the extreme left hand side of the bench and R is on second position from the right hand side.
(iii) P is on the right hand side of Q and to the right side of T. (iv) P and R sitting together
Who is sitting exactly in the middle ? Seven people, C, D, E, F, L, M and N, are sitting in a row, facing north.
Only two people sit to the right of C. Only two people sit between C and L. Only two people sit between E and N. N sits to the immediate left of C. M sits to the immediate right of F. Who sits at the third position from the left end of the row?- Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only three people sit between E and D. A sits to the immediate left of D. No one sits to the right of B. Only two people sit between B and A. G sits to the immediate right of F. How many people sit to the right of F?
Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only A is kept above F. Only D is kept between F and C. Only E is kept below B. How many boxes are kept below C?
P, Q, R, S, T, U and V are sitting in a row, facing north. No one sits to the left of U. Only four people sit between U and R. Only three people sit to the right of V. P sits to the immediate left of S. Q is not an immediate neighbour of V. How many people sit between P and T?
