There is, but still you have to secure good rank

With an aim of educating a number of girl children, the quota for women was introduced initially. Most of the institutes offer this quota and a women candidate seeking admission can apply under all India quota and also gender quota. In general 5% of reservation is kept hold for women candidates and in addition to that, if the women candidate is a PWD, she gets an additional 3% reservation of seats.
A female applicant can apply under All India Level or Women Quota System since maximum of the institutions reserve 5% seats for woman.

Yes, cant say anything officially but i think its about 45% reserved seats in NITs for girls.

No 

But there is Girls quota in nit kurukshetra from this year

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