The following is the list of universities that are among the top 50 in the US. To get admitted into these universities, you will need a good GRE Score and good academics. Overall student profile has to be good.
Most of the American Universities require GRE for graduate admissions. However, GRE score is not the only part of the admission process, and therefore it is advised that one cannot apply to US university based on just the GRE score. To put this in perspective, a student with a 304 GRE score may get an admission into a university with 315-320 score bracket. While, a student with 325 may not get admission into the same university – This depends on several factors including student’s undergrad GPA, achievements, supporting documentation and more. Having said that, it is difficult to advise a student which universities they can apply without going through their overall profile.
Note: The following list of universities have been provided only for reference purposes. 
Here is a list of universities with a GRE score between 310 to 315:

Arizona State University

Type: Public
Location: Tempe, Arizona
Graduate Acceptance Rate: 55.6%
Graduate Engineering Students: 60% International Students
Tuition: $26,044 per year (Full Time)
Minimum TOEFL Score: 79
Minimum IELTS Score: 6.5
Visit for more information – Arizona State University Admissions
University of Rochester
Type: Private
Location: Rochester, New York
Graduate Acceptance Rate: 34.1%
Graduate Engineering Students: 47% International Students
Tuition: $1,442 per credit (Full Time)
Minimum TOEFL Score: 95
Minimum IELTS Score: 7
Visit for more information – University of Rochester Admissions
University of South Carolina
Type: Public
Location: Columbia, South Carolina
Graduate Acceptance Rate: 36.7%
Tuition: $26,200 per year
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5 
Visit for more information – University of South Carolina Admissions
Indiana University
Type: Public
Location: Bloomington, Indiana
Tuition:  $33,740 per year (Full Time)
Minimum TOEFL Score: 84
Minimum IELTS Score: 7
Visit for more information – University of Colorado Admissions
University of Colorado - Boulder
Type: Public
Location: Boulder, Colorado
Graduate Acceptance Rate: 33.8%
Tuition:  $29,607 per year (Full Time)
Minimum TOEFL Score: 83
Minimum IELTS Score: 6.5
Visit for more information – University of Colorado Admissions
Syracuse University
Type: Private
Location: Syracuse, New York
Graduate Acceptance Rate: 58.6%
Graduate Engineering Students: 81% International Students
Tuition: $40,380 per year (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – Syracuse University Admissions
University of Florida
Type: Public
Location: Gainesville, Florida
Graduate Acceptance Rate: 29.9%
Graduate Engineering Students: 62% International Students
Tuition: $30,075 per year (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6
Visit for more information – University of Florida Admissions
University of Texas at Dallas
Type: Public
Location: Richardson, Texas
Graduate Acceptance Rate: 33.9%
Graduate Engineering Students: 79% international students
Tuition: $22,282 per year (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – University of Texas at Dallas Admissions
George Mason University
Type: Public
Location: Fairfax, Virginia
Graduate Acceptance Rate: 56.9%
Graduate Engineering Students: 32% International Students
Tuition: $26,978 per year (Full Time)
Minimum TOEFL Score: 88
Minimum IELTS Score: 6.5 
Visit for more information – George Mason University Admissions
University of Illinois - Chicago
Type: Public
Location: Chicago, Illinois
Graduate Acceptance Rate: 20.9%
Graduate Engineering Students: 57% international students
Tuition: $26,538 per year (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – University of Illinois, Chicago Admissions
University of California - Riverside
Type: Public
Location: Riverside, California
Graduate Acceptance Rate: 21.4%
Graduate Engineering Students: Not reported
Tuition: $26,322 per year (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 7
Visit for more information – University of California, Riverside Admissions
Clemson University
Type: Public
Location: Clemson, South Carolina
Graduate Acceptance Rate: 35.8%
Graduate Engineering Students: 54% International Students
Tuition: $19,724 per year (Full Time)
Minimum IELTS Score: 80
Minimum IELTS Score: 6.5
Visit for more information – Clemson University
Case Western Reserve University
Type: Private
Location: Cleveland, Ohio
Graduate Acceptance Rate: 20.6%
Tuition: $39,842 per year (Full Time)
Minimum TOEFL Score: 90
Minimum IELTS Score: 7
Visit for more information – Case Western Reserve University Admissions
Lehigh University
Type: Private
Location: Bethlehem, Pennsylvania
Graduate Acceptance Rate: 19.9%
Graduate Engineering Students: 47% International Students
Tuition: $1,340 per credit (Full Time)
Minimum TOEFL Score: 79
Minimum IELTS Score: 7
Visit for more information – Lehigh University
University of North Carolina
Type: Public
Location: Chapel Hill, North Carolina
Graduate Acceptance Rate: 30.8%
Tuition: $26,013 per year (Full Time)
Minimum TOEFL Score: 79
Minimum IELTS Score: 7
Visit for more information – University of North Carolina Admissions
Tulane University
Type: Private
Location: New Orleans, Louisiana
Graduate Acceptance Rate: 30.2%
Tuition: $46,325 per year (Full Time)
Minimum TOEFL Score: 90
Minimum IELTS Score: 6.5
Visit for more information – Tulane University
University of Tulsa
Type: Private
Location: Tulsa, Oklahoma
Graduate Acceptance Rate: 27.4%
Graduate Engineering Students: 58% International Students
Tuition: $1,120 per credit (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6 
Visit for more information – University of Tulsa Admissions
Northeastern University
Type: Private
Location: Boston, Massachusetts
Graduate Acceptance Rate: 39.5%
Graduate Engineering Students: 71% International Students
Tuition: $1,354 per credit (Full Time)
Minimum TOEFL Score: 79
Minimum IELTS Score: 6.5
Visit for more information – Northeastern University Admissions
University of Pittsburgh
Type: State-related
Location: Pittsburgh, Pennsylvania
Graduate Acceptance Rate: 30.8%
Tuition: $38,990 per year (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – University of Pittsburgh Admissions
University of Iowa
Type: Public
Location: Iowa City, Iowa
Graduate Acceptance Rate: 22.01%
Tuition: $25,134 per year (Full Time)
Minimum TOEFL Score: 81
Minimum IELTS Score: 7
Visit for more information – University of Iowa Admissions
University of Tennessee - Knoxville
Type: Public
Location: Knoxville, Tennessee
Graduate Acceptance Rate: 26.1%
Tuition: $30,050 per year (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – University of Tennessee at Knoxville Admissions
Drexel University
Type: Private
Location: Philadelphia, Pennsylvania
Graduate Acceptance Rate: 31.9%
Tuition: $30,321 per year (Full Time)
Minimum TOEFL Score: 100
Minimum IELTS Score: 6.5
Visit for more information – Drexel University Admissions
Stony Brook University - SUNY
Type: Public
Location: Stony Brook, New York
Graduate Acceptance Rate: 39.8%
Graduate Engineering Students: 79% International Students
Tuition: $20,190 per year (Full Time)
Minimum TOEFL Score: 90
Minimum IELTS Score: 6.5
Visit for more information – Stony Brook University Admissions
Auburn University
Type: Public
Location: Auburn University, Alabama
Graduate Acceptance Rate: 49.5%
Tuition:  $25,758 per year (Full Time)
Minimum TOEFL Score: 79
Minimum IELTS Score: 6.5
Visit for more information – Auburn University Admissions
University of Connecticut
Type: Public
Location: Storrs, Connecticut
Graduate Acceptance Rate: 33.9%
Graduate Engineering Students: 42% international students
Tuition: $31,674 per year (Full Time)
Minimum TOEFL Score: 79
Minimum IELTS Score: 6.5
Visit for more information – University of Connecticut Admissions
Colorado State University
Type: Public
Location: Fort Collins, Colorado
Graduate Acceptance Rate: 43.3%
Tuition: $24,276 per year (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – Colorado State University Admissions
Oregon State University
Type: Public
Location: Corvallis, Oregon
Graduate Acceptance Rate: 24.5%
Tuition: $21,933 per year (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – Oregon State University Admissions
University of Houston
Type: State
Location: Houston, Texas
Graduate Engineering Students: 67% International Students
Tuition: $921 per credit (Full Time)
Minimum TOEFL Score: 79
Minimum IELTS Score: 6.5
Visit for more information – University of Houston Admissions
University of Kansas
Type: Public
Location: Lawrence, Kansas
Graduate Acceptance Rate: 52.0%
Tuition: $849 per credit (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – University of Kansas Admissions
Mississippi State University
Type: Public
Location: Mississippi , Mississippi
Graduate Acceptance Rate: 30.7%
Tuition: $18,478 per year (Full Time)
Minimum TOEFL Score: 79 
Minimum IELTS Score: 6.5 
Visit for more information – Mississippi State University Admissions
University of Kentucky
Type: Public
Location: Lexington, Kentucky
Graduate Acceptance Rate: 40.5%
Tuition: $24,664 per year (Full Time)
Minimum TOEFL Score: 79 
Minimum IELTS Score: 6.5 
Visit for more information – University of Kentucky Admissions
George Washington University
Type: Private
Location: Washington, District of Columbia
Graduate Engineering Students: 30% International Students
Tuition: $1,490 per credit (Full Time)
Minimum TOEFL Score: 79 
Minimum IELTS Score: 6.5 
Visit for more information – George Washington University Admissions
Michigan Technological University
Type: Public
Location: Houghton, Michigan
Graduate Acceptance Rate: 39.9%
Graduate Engineering Students: 64% International Students
Tuition: $14,769 per year (Full Time)
Minimum TOEFL Score: 79
Minimum IELTS Score: 6.5 
Visit for more information – Michigan Technological University Admissions
Clarkson University
Type: Private
Location: Potsdam, New York
Graduate Acceptance Rate: 67.8%
Tuition: $1,390 per credit (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5 
Visit for more information – Clarkson University Admissions
University of Maine
Type: Public
Location: Orono, Maine
Graduate Acceptance Rate: 44.6%
Tuition: $1,310 per credit
Minimum TOEFL Score: 79
Minimum IELTS Score:  6.5
Visit for more information – University of Maine Admissions
University of Wyoming
Type: Public
Location: Laramie, Wyoming
Tuition: $660 per credit (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – University of Wyoming Admissions
Marquette University
Type: Private
Location: Milwaukee, Wisconsin
Graduate Acceptance Rate: 52.2%
Tuition: $1,025 per credit (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – Marquette University Admissions
University of Georgia
Type: Public
Location: Athens, Georgia
Graduate Acceptance Rate: 41.8%
Tuition: $975 per credit (Full Time)
Minimum TOEFL Score: 80
Minimum IELTS Score: 6.5
Visit for more information – University of Georgia Admissions
University of Hawaii - Manoa
Type: Public
Location: Honolulu, Hawaii
Graduate Acceptance Rate: 72.2%
Graduate Engineering Students: 49% Asian Students
Tuition: $21,344 per year (Full Time)
Minimum TOEFL Score: 61
Minimum IELTS Score: 6
Visit for more information – University of Hawaii, Manoa Admissions
Universities for GRE Score 300 to 310
Universities for GRE Score 315-320
Universities for GRE Score 320-325
Universities for GRE Score 325-330
Universities for GRE Score 330-340

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