Hi,
You have not mentioned the board for which you want to appear for improvement exam. However, if it is CBSE, then you cannot appear for improvement exam. The rule for improvement exam is , a candidate can appear for improvement exam in succeeding year only. It means if you have passes your board class in 2006, then you were eligible up to 2007 only until you have not pursued higher studies. You can mention the board if it is other than CBSE, however, in most board improvement exam can be given in successive year only.
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