Modi also said if lying amounted to violation of the model code of conduct, the Election Commission should take action against the Congress president.
"Madam Sonia tried to mislead the people of Gujarat and the country, I challenge her for an open debate on this," Modi, who is contesting from here as well as Varanasi, said at a public gathering.
"Madam Sonia has said that Gujarat's school drop-out rate is the highest in the country, which is not true," he said, adding that after he came to power, the dropout rate for class 1 to 5 had declined to two per cent from 21 percent.
"There are two governments running at the Centre. One is the Indian government and other is this 'mother-son' government," Modi said, referring to Sonia and Rahul Gandhi.
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"People know who divided this country. Who spread havoc in Andhra Pradesh, who has given a separate state status to Jammu and Kashmir and who separated states on linguistic basis. Who instigated fight between IB and CBI? People know who had played divisive politics in the country and Madam Soniaji your are doubting my integrity and my patriotism. For you India may be 'matra-Bhumi' (just a land) but for me it is a matru-bhumi (mother land)," Modi said.
He also asked whether Rahul and Sonia Gandhi wanted to start "poverty-based tourism" in the country.
Earlier, addressing her first election rally in Gujarat which goes to polls on April 30, Sonia Gandhi had torn into Modi's much-touted Gujarat development model and appealed to the people to reject the "divisive" ideology of RSS-BJP.