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Study the information given below and answer the questions based on it. 

Nine boxes A, B, C, D, E, F, G, H and I are kept one above another not necessarily in the same order. There are three boxes between H and G and neither of them is at the top or the bottom position. There are two boxes between F and C and box F is above box C. Box C is above box G. Two boxes are there between G and C. The number of boxes between A and H is the same as that of A and G. Box D is above box E and there is more than one box in between D and E. Box E is not at the bottom position. Two boxes are there between E and I.

 

How many boxes are there between box C and box E?

[IBPS PO PRELIMS 14 OCT 2018 G]
A
B
C
D
E