Kesav,
First thing you have to know is There is no law/rule to reject your F1 Visa based on the number of backlogs. You got admit from a US university since they are fine with your academic level and performance. So don't worry about academics. If the visa officer ask you about backlogs, tell him the genuine reason for your backlogs. Let him know that you did a good job by the end of your b.tech by clearing out all your 24 backlogs and you worked hard for it.
F1 Visa interview interview is not just about your backlogs. It's about your financial documents, your scores, academic strength, your criminal background etc. Backlogs are just a part of F1 Visa interview. Moreover it is about Luck

F1 Visa Interview with Existing backlogs
Currently if you are in 7th semester and if still didn't clear your backlog, you can attend visa interview. Visa Officer may put your visa approval on hold until you submit your marks list. They will temporarily approve your visa and will stamp the visa on the pasport only after submiting final marks list. In this case you don't need to attend for F1 Visa Interview again.
Maximum backlogs accepted for F1 Visa Interview
Visa Officer evaluate your degree not the number of backlogs. I have seen a guy who had around 30+ backlogs and got visa approved for first time in US Consulate.
Readers, please add your inputs.
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