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We have: Corn has kept three places above the box whose weight is 39kg, but not kept at top. Capsicum is kept just below the box whose weight is 39kg. The number of boxes kept above Brinjal is one more than the number of boxes kept below Capsicum. That means, in case (1) Capsicum is kept at bottom, in case (2) Capsicum is kept third from bottom. Box kept adjacent to brinjal is kept three places away from Onion. The weight of Brinjal is 3/4th of the weight of Onion. Since, only such possible combination is (32, 24). That means, in case (1) Onion has kept two places above Capsicum, in case (2) Onion has kept at the bottom. Based on the above given information we have Case (2) is not valid as the number of boxes between Corn and the one whose weight is 32kg is the same as the number of boxes between Carrot and the one whose weight is 26kg . Again, we have: The sum of the weights of Carrot and Onion is twice the weight of Tomato. Thus, only such possible combinations are (46, 32, 39). That means, the weight of Carrot must be 46kg and the weight of Tomato is 39kg. Garlic is not kept at the top but kept at any place above the box whose weight is 13kg. That means, the weight of Garlic is 26kg, and the weight of Capsicum is 13kg. Based on the above given information we have the final arrangement as follows:
sin2 9 ° + sin2 10 ° + sin2 11 ° + sin2 12 ° + ……… + sin2 81 ° = ?
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