If your name is mentioned differently in different certificates, you will definitely face problem not only in every competitive examination, but also at the time of registration of properties and in many other aspects. So, it is necessary to get the mistake rectified as soon as possible.
If you have passed the Intermediate examination recently, you can apply to the Board to rectify the mistake. The Board will make necessary rectification for candidates who have passed the examination during the last 1-2 years.
Otherwise, you have to sign a suitably-worded affidavit before a First-class Magistrate of your city stating your correct name and mentioning the wrong names indicated in your Board certificates. You have to publish similarly-worded advertisements in one English and in one vernacular language. You have to permanently preserve original affidavit and original advertisement.
Caution: Explosive. Handle with care.