Seven people, H, L, J, D, E, V and R, are sitting in a row, facing north. Only five people sit to the right of H. Only one person sits between L and H. R is the immediate neighbour of J and L. D sits to the right of V but left of L. How many people sit between E and D?
Three
Number the seats 1 to 7 from the left end (all face north, so their right is our right). Only five people sit to the right of H, so H is in seat 2.
Only one person sits between L and H. Seat 0 does not exist, so L must be in seat 4. R is the immediate neighbour of both J and L, so R sits in seat 5 (if R were in seat 3, its neighbours would be H in seat 2 and L in seat 4, leaving no seat beside R for J) and J sits in seat 6.
D sits to the right of V but to the left of L (seat 4). The only free seats left of L are 1 and 3, so V is in seat 1 and D is in seat 3. The last person, E, takes the remaining seat 7.
| Seat (left to right) | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Person | V | H | D | L | R | J | E |
D is in seat 3 and E is in seat 7, so the people between them are L, R and J, i.e. 3 people.
Check: five people (D, L, R, J, E) are to the right of H; exactly D sits between H and L; R is beside both L and J; V is left of D and D is left of L – every condition holds, and seats 4, 5 and 6 lie between D and E.
Hence, Three.
Similar Questions
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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?
- Six people A, B, C, D, E and F are sitting in a straight line. All are facing towards North.
B is seated third from the extreme right end of the line.
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?
- Seven people, I, J, K, L, M, N and O, are sitting in a row, facing north. Only three people sit to the left of M. Only I sits to the right of O. Only three people sit between O and N. J sits at some place to the left of K but at some place to the right of L. How many people sit between L and K?
- Seven people A, B, C, D, E, F and G are sitting in a row, facing north. Only two people sit between D and C. Only G sits to the right of E. Only one person sits between C and E. A sits at some place to the right of F but at some place to the left of B. How many people sit to the right of A?
