Hello Bishal,
Yes you are eligible to apply for IISER test. The BS-MS duration is 5 years. You have 3 years studying foundation course of physics, chemistry, biology, mathematics and a little humanities. The last date is 6th of May so you may apply as soon as possible.
The entry to BS-MS is through JEE, KVPY and SCB (for state and central board).
For more information and queries you can visit https://www.iiseradmission.in/
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