Hey Shalini!
The cut off for admission in any of the NLUs last year closed at a rank of around 1600. So with a rank around 6987 you dont have any chances for any NLUs if you belong to the general category. This is the first time IPU would accept admission based on CLAT scores there are no previous year trends to look up to for a fair estimate. But as there are around 1900 seats offered by IPU in total and 85% if which are reserved for Delhi Candidates so only around 300 seats would be left for All India students. Hence you can expect the cut off for outside Delhi category to be high and close maximum around 3000-4000 rank. Chances for a cut off lower than this is very less. If you belong to the Delhi residents category then you might have a chance with this rank. Under the Non delhi quota chances are less though.
This is only an estimate and the actual cut off may vary according to factors like the number of Delhi domiciled candidates ranked above you etc.
Best of luck

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