The incident took place on Thursday, Mar 25, when the girl was writing the English paper of the UP Intermediate Education Board (UPIEB) exams in Rukmani Modi Mahila Inter College in Modinagar.
The girl's family filed a complaint alleging that the invigilators made her remove her clothes to search for chits being carried for copying.
"Nothing was found in the search but the girl could not complete the paper because of the incident," they said.
Parents and family members of the girl staged a protest in the college and approached the police.
Principal of the college Kamlesh Gaud tendered an unconditional apology to the parents of the girl and closed the matter with an assurance that full protection will be given to all girls appearing in the examination.
"We have apologised for the incident, which has been accepted by the parents. The matter has been resolved," Gaud said.