I scored 94/77% in X/Xll, I have a cgpa of 6.45(with 14 history of backlogs) in B TECH ECE with 6 month of experience (TRAINEE in a VLSI firm without salary), Do I have a chance of getting into one of top(21-50) B Schools(based on past),How much should I score minimum in CAT 2020(I am OBC) ?

Yes absolutely. You can get into a top Bschool. I have given below the cat cutoff (OBC category) for some of the top Bschools in our country. Please refer to it to get a better idea about cutoffs and other aspects.

IIM Ahmedabad CAT Cutoff

Verbal and Reading Comprehension  (VRC)   - 65

Data Interpretation & Logical Reasoning  (DIILR) - 65

Quantitative Aptitude (QA) - 65

Overall Percentile - 75

IIM Bangalore CAT Cutoff

Verbal and Reading Comprehension  (VRC)   - 70

Data Interpretation & Logical Reasoning  (DIILR) - 70

Quantitative Aptitude (QA) - 65

Overall Percentile - 75

IIM Calcutta CAT Cutoff

Verbal and Reading Comprehension  (VRC)   - 65

Data Interpretation & Logical Reasoning  (DIILR) - 65

Quantitative Aptitude (QA) - 70

Overall Percentile - 75

IIM Indore CAT Cutoff

Verbal and Reading Comprehension  (VRC)   - 70

Data Interpretation & Logical Reasoning  (DIILR) - 70

Quantitative Aptitude (QA) - 70

Overall Percentile - 80

IIM Lucknow CAT Cutoff 2020

Verbal and Reading Comprehension  (VRC)   - 77

Data Interpretation & Logical Reasoning  (DIILR) - 77

Quantitative Aptitude (QA) - 77

Overall Percentile - 82

IIM Kozhikode CAT Cutoff

Verbal and Reading Comprehension  (VRC)   - 65

Data Interpretation & Logical Reasoning  (DIILR) - 65

Quantitative Aptitude (QA) - 65

Overall Percentile – 75

IIT Bombay

Verbal and Reading Comprehension  (VRC)   - 72

Data Interpretation & Logical Reasoning  (DIILR) - 72

Quantitative Aptitude (QA) - 72

Overall Percentile – 81

Please remember that merely clearing the cut off for cat wont guarantee you an admission into a top college. Colleges these days consider Academic diversity (Non- Engineers are given extra marks), Gender diversity ( Female candidates are given extra marks), 10th, 12th, Graduation scores, extra curricular achievements. In addition to that you need to perform well in your Group Discussion, Written Assessment Test, and Personal Interview. Make sure you give your best in all these aspects to stand a better chance of getting selected at top colleges.