You can apply for an AADHAR card without a birth certificate or mark sheet by providing alternative forms of identification and proof of residence. Some examples include:

1. Passport: If you have a passport, you can use it as proof of identity, age, and address.
   
2. PAN card: A Permanent Account Number (PAN) card can be used as proof of identity and age.
   
3. Voter ID card: A voter ID card can be used as proof of identity and address.
   
4. Ration card: A ration card can be used as proof of identity and address.
   
5. Driving license: A driving license can be used as proof of identity, age, and address.

You will also need to provide proof of residence, such as a utility bill, rent agreement, or bank statement. You will also need to provide biometric information, such as fingerprints and a photograph.

It’s important to note that the documents you provide will be verified by the government, so it’s important to ensure that they are accurate and valid. Additionally, you may need to provide additional documents or information if required by the government.