About behavior of company

Hi sir/ ma'am, i got selected in one company in ludhiana, and they asked me to join the company on 20th feb,2017 but didnt gave me any offer or appointment letter. They said, i will receive confirmation email as well which i have not received yet. On 20th feb, they asked me to sign the offer letter which stated that i have to serve the notice period of 30 days if i want to leave the job otherwise you have pay 3.5 lac rupees. It was a weird thing for me because my fixed package is just 2.4 lac per annum . They asked me to sign the letter and we will give you hard copy of offer letter as well but after signing the letter they istruct me to come back tomorrow because you dont have laptop at this time.... they wasted my entire day. On second day, i asked hundred times about the offer letter and they gave me just a photocopy of letter which has not even original signed or no stamp. when i asked for letter head copy of offer letter they denied by saying that you will get letter head copy only after completing your probation period. I have no record about this job and i am not feeling comfortable with their overall behavior. My question is, by signing the letter which stated that if i have to leave the company, i have to pay 3.5 lac. Do really i have to pay this much amount if i dont want to continue that job. Today was the first day in that company