Siddaramaiah took to Twitter to pose the questions, two days after Modi launched an all out offensive on his government at a BJP rally here, accusing the chief minister of creating "new records" in corruption.
Modi had also dubbed the Siddaramaiah's rule as a "10 per cent commission" government.
Siddaramaiah in his tweet said "I am glad PM @narendramodi is talking about corruption. I now invite him to #WalktheTalk."
BJP has already said allegations against Shah's son had no basis.
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Siddaramaiah's poser invited a quick rebuttal from BJP state president and party's chief ministerial candidate B SYeddyurappa.
Welcoming the 'discussion', Yeddyurappa tweeted with a tagline #Date2Answer asking, "Why did you quash all the powers of Lokayukta and make it a toothless body?."
Yeddyurappa also questioned Siddaramaiah, about the Rs70 lakh Hublot watch.
Yeddyurappa also raised DySP M K Ganapathy suicide case.
Ganapathy had allegedly committed suicide last year accusing the then Home Minister George and two other senior IPS officers of harassing him.
The state CID had given a clean chit to George and the two officials.But, the Supreme Court later ordered a CBI probe, following which a case was registered against George and the two IPS officers.
BJP has been demanding George's resignation, which Siddaramaiah has turned down.