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
Seven people, A, B, C, D, E, F and G, are sitting in a straight row facing the north. Only two people sit to the left of C. Only two people sit between A and B. B sits to the left of A. E is an immediate neighbour of A to the right. Only one person sits to the right of D. F is not an immediate neighbour of B. Who sits at the centre?
P, Q, R and S are sitting on a bench and facing in the same direction. P sits next to Q but not next to R. S, who is sitting on the extreme right, does not sit next to either Q or R. How many of them each have two neighbors?
Five friends Ram, Priya, Raunak, Aditya and Shyam are sitting in a row facing north. Raunak is to the right of Shyam and Priya is to the left of Shyam but to the right of Rama. Raunak is to the left of Aditya. Who is fourth from the left end?
Harshita, Ishika, Jaya, Krishna and Lara are sitting on a bench. Jaya is in between Ishika and Lara. Harshita is to the right of Ishika. Kalyani is sitting on the extreme right. Kalyani is not next to Lara. Who is to the right of Harshita?
Six people P, Q, R, S, T and U sit in a row, not necessarily in the same order. If two persons sit in between P and Q, and two persons sit in between T and U, then how many persons sit in between R and S?
