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There are 8 boxes viz. A1, A2, B1, B2, C1, C2, D1, and D2 which are in different colors viz. Red, Brown, Blue, Pink, Orange, Green, Black, and Purple but not necessarily in the same order. They are placed one above another; each contains different books and a certain number of Pens. The books were namely English, Physics, Chemistry, Economics, Geography, History, Biology, and Mathematics. The number of Pens in each box is either a prime number or square number ranging from 10-40 but not more than one box has the same number of Pens.
The Brown box contains a certain number of Pens as same as the square of its position from Top. There are only two boxes between A1 and C1, which contains a History book. The number of Pens in C2 is one less than double the number of pens in B2. Neither D1 nor D2 contains an English book.
The difference between the number of Pens in Red-colored Box and the total number of Pens in A2 and B1 is 10 Pens. The blue box contains a Biology book and the difference between the number of pens in the Blue colored box and the box which has a Physics book is 8 pens. The number of boxes above the box which contains the Geography book is as same as the number of boxes below D1. The Box which has the least number of Pens is in Black Colour. Neither Red box nor Purple box is in the topmost or lowermost position. There are two boxes between Brown and Orange colored boxes, such that the Brown box is in one of the positions below Orange colored box.
The Pink box contains Geography books and is immediately below C1 and above C2. C1 is an orange-colored box and having 10 pens more than D1 which doesn’t have a Mathematics book. The number of boxes between the Black and Red-colored boxes is as same as the number of boxes between Red and Purple colored boxes. The box which has an Economics book has the 3rd highest number of Pens. The number of Pens in the A2 box is as same as the square of its position from bottom. D2 has pens in an even number and the difference between the number of Pens in a box immediately above D2 and below D2 is the same. Blue colored box is in an odd number of positions but not on the 3rd position from bottom. Both D2 and B1 are at the odd numbers of positions from the top and B1 is placed in one of the positions above D2.
Solution :
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