Names of sons of two higher level bureaucrats in the state also found place in the list published recently.
Taking cognisance, Chief Minister Devendra Fadnavis has sought explanation from the minister who belongs to the BJP, sources said tonight.
However, Badole has distanced himself from the matter.
Badole's daughter Shruti is pursuing a three-year Ph.D course in Astronomy and Astrophysics at University of Manchester in the UK.
Social Justice and Special Assistance Department of the state government every year announces foreign education scholarship for SC students.
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The list was published by Ministry of Higher and Technical Education in a government resolution (GR) dated September 4.
Among 35 students selected for the scholarship are Sameer Dayanand Meshram and Antariksh Dinesh Waghmare, both sons of senior bureaucrats in the state government.
While Meshram has been selected for a two-year Master of Science course in Mechanical Engineering in University of Washington, Waghmare in Pennsylvania State University for a two-year course in Master of Science in Information System.
Dinesh Waghmare is Secretary, Higher and Technical Education and Dayanand Meshram a Deputy Secretary, Higher Education.
"It is true that my daughter had applied and selected for the scholarship. However, I did not play any role in it. I was not even part of the selection committee," he said.
The minister said he had already informed Chief Minister Devendra Fadnavis about Shruti's application.
"Shruti was selected by a scrutiny committee. Though her name is finalised, we have not yet decided on whether to accept the financial assistance from the government or not," he added.
Under the scope of the scholarship, a total of 50 SC students are given the assistance for pursuing post-graduate and Ph.D courses in foreign institutions listed under QS world University Ranking 300.