Seven people - A, B, D, N, R, S and V are sitting on a bench facing South. A is sitting second to the right of V. One person is sitting between A and R. N is the immediate neighbour of D, who is sitting at one end. V is sitting third to the left of S. V is sitting third from the left end. R is sitting at one end and is the immediate neighbour of S. A is sitting second to the left of R. Which of the following is sitting third to the left of A?
- AN
- BD
- CR
- DV
Solution & Step-by-step Explanation
Note that all people face South. For a person facing South, their left is our right, and their right is our left. Let's set up positions 1 to 7 from Left to Right from our standard visual perspective.Standard visual Left = position 1, standard visual Right = position 7.Since they face South, position 1 is the Right End for them, and position 7 is the Left End for them.Let's read the fixed clues:"V is sitting third from the left end." Since Left End for them is position 7, counting third from position 7 (7, 6, 5) gives V = 5."A is sitting second to the right of V." Right for them means moving towards position 1 (our left). Second to the right of 5 is . So A = 3."R is sitting at one end and is the immediate neighbour of S." The ends are 1 and 7. Let's check: "A is sitting second to the left of R." For A(3) to be second to the left of R, R must be at position 1 (, left for them means moving towards higher numbers). So R = 1.Since R = 1, and S is an immediate neighbor of R, S = 2. Let's verify: "V(5) is sitting third to the left of S(2)" , which fits perfectly."One person is sitting between A(3) and R(1)" Position 2 is S, which fits."D is sitting at one end." Since position 1 is taken by R, D must be at the other end, D = 7."N is the immediate neighbour of D" N = 6.The remaining person B goes into the last vacant spot, B = 4.The arrangement from position 1 to 7 (our Left to Right) is:1:R, 2:S, 3:A, 4:B, 5:V, 6:N, 7:DWe need to find who is sitting third to the left of A.A is at position 3. Left for them means moving towards higher numbers (our right).Third to the left of position 3 is .Position 6 is occupied by N.