BOWLING GREEN, Ky. — “Hurry Up!!!” the online posting said. “Spot Admissions” to Western Kentucky University. Scholarships of up to $17,000 were available, it added. “Letter in one day.” The offer, by a college recruiter based in India, was part of a campaign so enticing that more than 300 students swiftly applied to a college that many had probably never heard of.

More than 8,000 miles away, at Western Kentucky, professors were taken by surprise when they learned last fall of the aggressive recruitment effort, sponsored by their international enrollment office. Word began to spread here on campus that a potential flood of graduate students would arrive in the spring 2016 semester.

The problem — or one of them — was that many of the students did not meet the university’s standards, faculty members said, and administrators acknowledged.

Western Kentucky’s deal with the recruiting company, Global Tree Overseas Education Consultants, is a type of arrangement that is becoming more common as a thriving international educational consultancy industry casts a wide net in India and other countries, luring international students to United States colleges struggling to fill seats. The university agreed to pay Global Tree a commission of 15 percent of the first year’s tuition of students who enrolled, or about $2,000 per student.