The two, who said they are siblings, crawled up the stairs to the podium and the one in front tried to touch Banerjee's feet as she was winding up her speech at around 2.25 pm here.
The chief minister quickly moved away and security personnel, who had apparently failed to notice their movement, moved forward and guided them down from the stage.
A visibly annoyed Banerjee said "I cannot understand why the two sisters came to me in this way. This is not the procedure."
The elder of the two said she also wanted to make a prayer to the chief minister for a job.
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The teenaged girls were identified as Rabiya and Masuma Khatun, the police said adding they were taken to the district headquarter at Raigunj for questioning.
While one of the girls claimed to be an undergraduate student, the other said she studied in class nine at a school in Karandighi, where they stayed, the police said.
After the two were led away, the chief minister inquired about them from local representatives and said that the government had already given a job to a member of their family besides constructing a dwelling for them under the state's Geetanjali housing scheme for the homeless.
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