Following the HC's interim order, several Muslim girl students had boycotted classes and had skipped the practical exams.
There has been no leak outside India, hence no re-examination will be held outside the country, he said.
The state government has also cancelled the recognition of Vaishali-based VinshuRaiCollege, as the two toppers who failed in the re-test were students of the college, Prasad said.
Jan Suraaj Party founder Prashant Kishor, who has been on a fast unto death to press the demand for cancellation of a Bihar Public Service Commission (BPSC) exam, on Sunday sought the support of Congress leader Rahul Gandhi and former Bihar Deputy Chief Minister Tejashwi Yadav.
Separately, the Delhi high court on Monday asked the CBSE about its plans, if any, to re-conduct the class 10 maths test.
The apex court asked the students who have challenged the decision of the CBSE, to appear in the examination, if conducted.
The CBSE issued a circular on Wednesday informing about the re-examination and said dates and other details for it would be posted on the board's website.
The NTA denied any irregularities and said the changes made in the NCERT textbooks and grace marks for losing time at the examination centres were some of the reasons behind the students scoring higher marks.
The Supreme Court on Thursday refused to direct the Central Board of Secondary Education to conduct a fresh All India Engineering Entrance Examination, which was mired in controversy after its question papers were leaked.
According to Exam Controller Sanyam Bhardwaj, the exams which were pending due to the COVID-19 situation have been cancelled.
Scuttled holiday plans, clashes with entrance dates, another round of tuitions and above all the 'phobia' of facing the examination day yet again -- sum up the dilemma being faced by class 10 and 12 students of Central Board of Secondary Education across the country.
The Bihar State Examination Board Class 12 arts topper was on Saturday taken into custody by Patna Police's Special Investigation Team soon after she failed the re-test.
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The examinees of Class XII of CBSE Board will however have the option of either taking the exams later or to move ahead with the assessment based on their performance in the last three internal exams.
Students ran from pillar to post in a vain bid to appear for the exam.
The students and their parents staged a protest outside the Department of Pre-University Education and pelted stones at the PUC building.
She reportedly informed the board that she is not well and unable to appear for the re-exam.
The ministry had last week announced that the re-examination of the CBSE Class 12 economics paper would be held on April 25.