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With a 660 score, you are unlikely to find any regular lender to give you an unsecured personal loan. The thing banks want before they make a loan is some guarantee of repayment and collateral is a good way to guarantee repayment. Therefore, they would be much more likely to give an auto loan before a signature type loan.
Second, a credit report is not affected by the acceptance or denial of credit. Each inquiry can have a slight negative effect on your score whether the lender grants you credit or not. The credit bureau does not get any indicator from the lender as to whether credit was granted or not.
If you are looking to buy a car, someone with a 660 WILL get on with a lender. The dealer WANTS to sell you a car. Lenders WANT to make a loan with collateral.
We cannot make any recommendations of lenders on this site, but before you go car shopping, spend a few minutes and visit with a few banks. When you go to the car dealer, they WILL offer you a loan through one of their lenders. With the pre-visit to the bank, you will know whether the car dealer's offer is good or not.
You do not have to take the dealer's offer!