He stressed that an "impartial" police probe into the case would leave nobody, whose name figures in the clerical grade examination, untouched.
Kumar also ridiculed the BJP for accusing the government of "shielding wrongdoers" including some ministers and ruling party legislators in the case as well as in the matter involving a JD(U) MLA and absconding Congress leader in the alleged sexual exploitation of a minor girl.
"When the police is investigating the case impartially what role the government has in it?" he asked.
"We will cooperate to pass such an Amendment to IPC and CRPC and if the President gives consent to it, we would love to make the BJP leaders of their choice as investigating officer in cases like BSSC paper leak and others," he said.
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BJP and its NDA allies were not present in the House at the time the CM was speaking as they had staged walkout alleging rise in scandal and corruption under the present dispensation.
Facing attack from BJP in both Legislative Assembly and the Legislative Council in connection with BSSC exam paper leak and those connected with suspended JD(U) MLA Mewalal Chaudhary and absconding Congress leader Brajesh Pandey, the CM gave point by point reply to all allegations.