Kumar, who had earlier accepted the resignation letters of four of his ministers for their "involvement" in corruption cases, should now take the same step against his deputy, he told reporters here.
"This is the chief minister's agnipariksha," added Modi.
The CBI yesterday conducted raids in four cities in connection with a corruption case, in which RJD chief Lalu Prasad, his wife Rabri Devi and son Tejashwi are among the accused.
He claimed that the central probe agency lodging an FIR in a corruption case against the deputy chief minister and conducting raids at his residence reflected a "negative image" of Bihar and added that Kumar should now act against Tejashwi.
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"I am waiting for the chief minister's action in this case as he and his party have maintained a silence over the issue for three months now. This is the same chief minister who has constantly been asserting his government's zero tolerance policy towards corruption," said Modi.
Ramanand Singh put in his papers in 2008 because of another vigilance case, Ramadhar Singh quit in 2011 due to a case pending against him over the Ram Janmabhoomi issue, whereas Kushwaha resigned after he was purportedly seen taking money in a sting operation during the 2015 Bihar Assembly polls, he said.
The case against Lalu, Rabri and Tejashwi is related to alleged manipulation in awarding a contract for the maintenance of two hotels run by the IRCTC when the RJD chief was the railway minister in the then UPA government.
To a question, he said, "I do not need any security. I am at god's mercy.