Question
How many boxes are there in the arrangement?
Read the given information carefully and answer the questions given beside: Certain number of boxes are placed one above the other. Some of the boxes have different number of balls. No two boxes have same number of balls. There are four boxes between Box E and Box B, which at the topmost position. Two boxes are placed between Box E and Box C. One box is placed between Box C and Box D, which has 12 balls. One box is placed between Box F and Box D. Box placed immediately below of Box C contains one ball more than Box G. Two boxes are placed between Box F and Box G. Box G is not placed immediately below of the box, which has even numbered balls. Box G has 9 balls. Maximum ten boxes are placed one above the other. At least one box is there between topmost box and Box G.Solution
Maximum ten boxes are placed one above the other. There are four boxes between Box E and Box B, which at the topmost position. Two boxes are placed between Box E and Box C. One box is placed between Box C and Box D, which has 12 balls. One box is placed between Box F and Box D. Inferences: From above statements, Given, maximum 10 boxes are placed one above the other. Let the position of the box in lowermost is numbered as 1 and topmost is 10 (note: We start with 10 boxes, if necessary it can be changed with respect to given statements) Given, Box B is at topmost position. Then, Box E is fifth to below Box B (4 boxes between them) Box C is placed either 3rd to above Box E or 3rd to below Box E (2 boxes between them). Thus we get two possibilities. Case-1: Here, Box C is placed 3rd to above Box E. Then, Box D (12 balls) is placed 2nd to below Box C (1 box is between them). Box F is 2nd to below Box D (1 box is between them, only possibility) Case-2: Here, Box C is placed 3rd to below Box E. Then, Box D (12 balls) is placed 2nd to above Box C (1 box is between them, only possibility). Box F is 2nd to above Box D (1 box is between them, only possibility) By using above information, we get the following table as shown
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