Seven people, A, B, C, D, X, Y and Z are sitting in a row, facing north. Only X sits to the right of C. Only three people sit between C and D. A sits third to the left of Y. B is not an immediate neighbour of C. Who sits third to the right of D?
Z
All seven face north, so their left and right match ours. Number the seats 1 to 7 from left to right.
Only X sits to the right of C, so C is at seat 6 and X at seat 7.
Exactly three people sit between C and D, so D is at seat 2.
A sits third to the left of Y. The free seats are 1, 3, 4 and 5; the only pair three apart is (1, 4), so A = 1 and Y = 4.
B and Z take seats 3 and 5. B is not an immediate neighbour of C (seat 6), so B = 3 and Z = 5.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|
| A | D | B | Y | Z | C | X |
Third to the right of D (seat 2) is seat 5, occupied by Z.
Hence, the answer is Z.
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Important Questions from Linear Arrangement
- Five people (A, B, C, D and E) are sitting in a straight line. They all are facing towards the north. B is sitting immediately between C and E. A is sitting third to the left of E. C is sitting second to the right of D. Who is sitting at the extreme left end of line?
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Only two people are seated between B and E.
C is sitting second from the right of B.
F is an immediate neighbour of B and C.
A is sitting to the immediate right of D.
How many people are seated between D and F? - Seven people A, B, C, D, E, F and G are sitting in a row, facing the north. Only three people sit to the left of D. B sits third to the left of D. F sits to the right of A but left of D. E sits to the right of C but left of G. How many people sit to the right of F?
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