How many persons sit between D and

Solution

Only one person sits between E and the one who likes Red. A sits second to the left of the one who likes Red. If the one who likes Red sits at place no.1, then A sits at place no. 7 and E sits at place no. 3. E sits second to the left of the one who likes Black. So, the one who likes Black at place no. 5. Only two persons sit between G and the one who has likes Black. From this statement, we will have two cases: G will sit either at place no. 2 or 8. H is an immediate neighbour of C. C is not an immediate neighbour of A or E and he does not likes Black. The one who likes Green sits second to the right of H. C cannot sit at place no. 6, 5, 4 and 8. So, only place left for him is place no. 1. As H is an immediate neighbour of C. So, H will sit either at place no. 8 or 2. The one who likes Green sits either at place no. 4 or 2. Only three people sit between the one who likes Green and the one who likes Yellow. So, the one who likes Yellow sits either at place no. 6 or 8. F sits second to the left of the one who likes Yellow. So, F sits either at place no. 4 or 6. CASE-1 H does not likes Blue. The one who likes Blue is not an immediate neighbor of H. D sits on the immediate left of the one who likes Blue. The one who likes Pink sits on the immediate right of the one who likes Cream. Case 1 will get discarded as the one who likes Blue cannot sit at place no. 7 and 8. If the one who likes Blue sits either at place no. 4 or 3, then there is no place for D as D sits on the immediate left of the one who likes Blue In case 2, if the one who likes Blue sits at place no. 6, then D sits at place no. 5. The one who likes Pink and the one who likes Cream sit at place no. 3 and 2 respectively Only person left for place no. 4 is B. Only colour left for A is White Case-1 Final arrangement as shown below: