Singh also demanded a CBI probe into death of the Governor's son Shailesh Yadav, one of the accused in the state Professional Examination Board (MPPEB) scam.
Shailesh was found dead under mysterious circumstances at his father's official residence in Lucknow yesterday.
"With Chouhan finding himself embroiled in the scam, the state government is now harassing the Governor by dragging his name into the MPPEB scam even though the Chief Minister's name has figured in it (the scam)," Singh told reporters at his ancestral home, Raghogarh in Guna district.
The Special Task Force (STF), which is probing the scam, had registered an FIR against the Governor last month for allegedly recommending names of some of the candidates for recruitment to the post of Forest Guard in the examination conducted by the scam-tainted MPPEB. According to FIR, some of the candidates cracked the test fraudulently.
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Yadav, a senior Congress leader, was appointed Governor of Madhya Pradesh by the previous UPA government.
Congress will see what action the Prime Minister takes as Modi has been advocating propriety in public life to BJP leaders.
To a query on FIR registered against him earlier this month for irregularities in various appointments in Assembly Secretariat between 1993 and 2003, Singh, who had served as chief minister during that period, said this case should be handed over to CBI along with the MPPEB scam case.
He said government has no role to play as far as appointments to Assembly are concerned.