hi,
you may appear in several entrance test for engineering or other science related courses.
jee main, kvpy exam for bs-ms course in iiser, isi bmath or bstate entrance test, viteeee, mhtcet, bitsat for birla institute of technology colleges , etc.
some of the top institute in India which has excellent placement for engineering
iits
nits
iiits
jadavpur university
bits pilani and other campus
sastra university
nsit
Delhi technological university
vellore institute of technology
thaper institute of technology
lovely professional university

Dear Aspirant,
KVPY is the on of the tough exam for 11 class. And it is beneficial for those who want to do research or master's in any science subject.
For Pcm students Jee Advance is considered as most difficult paper to take admission in prestigious college such as IIT Bombay, Delhi,Madras, Kanpur. You can also give the paper of NEST for doing msc in physics, mathematics, chemistry.
It's also as difficult paper. Along with that you can apply for IIM Indore after 12 for 5 year masters in MBA programme.

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