NCERT is good for concepts but problem solving you need to have some practice. For that you can go for books like:

PHYSICS:

1)RESNICK and HALLIDAY

2)problems in general physics - I.E Irodov

3)Kleppner and Kolenkow (for mechanics)

4)Intoduction to electrodynamics (relevant chapters only)

CHEMISTRY

1)Problems in Organic Chemistry(Himangshu Pandey)

2)Inorganic Chemistry(cengage - vol1 and vol2)

3) For physical chemistry, ncert 11/12 and Comprehensive Chemistry is enough.

MATHS

For functions and basic calculus:

1)Calculus of one variable I.A Maron

2)Piskunov vol1 (relevant chapters)

For Algebra :

1. S.K Goyal(Algebra) in quite enough. But you must understand the technique used instead of blindly using it.

For coordinate geometry:

1. S.L Looney
2. S.K Goyal(coordinate geometry)

This are also the books which most students study for any entrance related to Engineering. So as you have not much time you can go according to your availability.

I hope my answer helps. All the very best for your future endeavors!

Dear aspirant,
Firstly, if you check out the previous year papers of iit-jee and NEST, you will find a significant difference. NEST is more about checking your basic concepts instead of applying them to strangely twisted problems. Thats why some questions might appear to be very easy for a jee aspirant. For concepts, you can check out:

PHYSICS:

1)RESNICK and HALLIDAY

2)problems in general physics - I.E Irodov

3)Kleppner and Kolenkow (for mechanics)

4)Intoduction to electrodynamics (relevant chapters only)

CHEMISTRY

1)Problems in Organic Chemistry(Himangshu Pandey)

2)Inorganic Chemistry(cengage - vol1 and vol2)

3) For physical chemistry, ncert 11/12 and Comprehensive Chemistry is enough.

MATHS

For functions and basic calculus:

1)Calculus of one variable I.A Maron

2)Piskunov vol1 (relevant chapters)

For Algebra :

S.K Goyal(Algebra) in quite enough. But you must understand the technique used instead of blindly using it.
For coordinate geometry:

S.L Looney
S.K Goyal(coordinate geometry)
You can(and should) check out other books for detailed reference of a particular topic as well.

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