Solution

We have: The box Z04 is kept third from bottom at a gap of one box from the box marked Yellow, that means we have two possible place for the box marked Yellow, in case (1) Yellow box is kept fifth from bottom, in case (2) the Yellow box is kept at bottom. The box Z04 neither marked Blue nor kept adjacent to the box Z03. Yellow marked box is kept at a gap of three box from the box whose weight is 15kg.   The box whose weight is 15kg is kept adjacent to the box marked Pink, that means in case (1) Pink box is kept second from bottom, in case (2a) the box marked pink is kept fourth from bottom, in case (2b) the box Marked Pink is kept third from top. Weight of the Pink box is _______Kg, lets says weight of the pink box is P kg. Pink box is kept four places from the Green box, whose weight is 21kg. The box whose weight is 21kg kept just above the box ______, whose weight is 27kg, lets says weight of the box Q is 27 kg, that means in case (1) box Q is kept fifth from bottom, in case (2a) box Q is kept second from top, in case (2b) box Q is kept at bottom. Based on above given information we have: Again, we have:  The box Z01 is kept three places above the box marked _____, which is kept adjacent to the box whose weight is 27 kg, lets says box marked R, that means in case (1) the box Z01 is kept second from top, in case (2b) the box Z01 is kept fifth from bottom and case (2a) is not valid.  The box Z01 is kept adjacent to the box whose weight is 13 kg, that means in case (1) the box whose weight is 13kg is kept at top, in case (2b) value of P is 13kg and in case (2c) the box whose weight is 13kg is kept fourth from bottom. Weight of the box Z05 is neither 13kg nor marked Yellow.  The box Z05 is marked ______ and is kept three places above the box Z02. The box Z02 is marked Brown, that means in case (1) the box Z02 is kept at bottom and the box Z05 is marked R, in case (2b) & case (2c) the box Z05 is kept second from top and marked S. Based on above given information we have: Case (2a) is not valid as the box Z01 is kept three places above the box marked R. Again, we have:  The box ______ marked Blue and is kept at p gap of one box from the Z07, let’s say the box T is marked Blue.  Weight of the box Z07 is neither 13kg nor marked Pink, since, the box Z04 is not marked Blue, that means in case (1a) the blue box is kept at top, in case (1b) the Blue box is kept second from top, in case (1c) the blue box is kept fourth from bottom and case (2b) & case (2c) is not valid.  The box Z03 is kept at p gap of two boxes above the box whose weight is 31kg, since, the box Z03 is not kept adjacent to the box Z04, that means in case (1a) the box Z03 is kept fifth from Bottom, in case (1b) the box Z03 is kept third from top, in case (1c) the box Z03 is kept fourth from top. Based on above given information we have: Case (2b) & case (2c) is not valid as the Blue box is kept at a gap of one box from the Z07. Weight of the Black box is 18kg and is kept adjacent to the box whose weight is 25kg.  Weight of the box marked ______ is 25kg, let says weight of the box marked U is 25kg, that means in case (1a) the Black box is kept fourth from bottom, in case (1c) & case (1d) the Black box is kept third from bottom and case (1b) is not valid. The box Z08 and the box Z01 are not kept together, that means the box Z08 is kept second from bottom.  As, the remaining box is Z06, that means the box Z06 is kept at top. The box Z06 and the box marked Red are kept together, that means the box marked Red is kept second from top. At least three boxes are kept between the box marked Orange and the box whose weight is 9kg, that means in case (1a) weight of the Red box is 9kg and the Orange box is kept third from bottom and case (1c) & case (1d) are not valid. Based on above given information we have final arrangement as follow: Case (1b) is not valid as weight of the Black box is 18kg and is kept adjacent to the box whose weight is 25kg and case (1c) & case (1d) is not valid as At least three boxes are kept between the box marked Orange and the box whose weight is 9kg. so final is case-1a