"Which men have committed suicide? Why not try and resolve the situation rather than commit suicide - I have not heard/read of a single case," said Ms Gandhi, the Women and Child Development minister.
However, according to the National Crime Records Bureau (NCRB), as many as 1,33,623 suicides were reported in the country in 2015, of which 91,528 or 68 per cent were committed by men and 42,088 by women.
Of the 86,808 married persons who committed suicide in 2015, 64,534 or 74 per cent were men, the NCRB data states.
The minister, through the three-hour long chat on the social media site, was pilloried by people for being "anti-men" and spent most part of the chat trying to answer questions the over the issue.
"What is @wcd doing to make sure parental alienation (father's from his kids) is not in practise. Isn't alienating a child from his/her biological father a crime?," posted a social media user.
Reacting sharply to the post, Ms Gandhi said that men have to accept responsibility before demanding rights.
"This ministry gets a large number of complaints that after a marriage has been dissolved, the father does not pay any maintenance despite court orders and the laws of the land... To push for rights needs an adherence to responsibilities as well," she said.
A user posted a query regarding his matrimonial dispute, where his wife left their three-month-old daughter saying she cannot look after her. The user alleged that his wife has filed a case of dowry and domestic violence against him, his parents and his sister.
"Whose doors should I knock to seek justice for my daughter?" he asked.
The minister's reply seemed to indicate that she did not believe the user and suspected that there was something else going on.
"Unfortunately the remedy for this lies in the courts. But simply as a personal observation... I have not met a woman who is happily married, has a baby and then runs off leaving a three-month-old baby on the grounds that she cannot look after her.
"According to you, there was the support system of parents in the house as well. So the responsibility of looking after the child would not have been her's alone. Why not introspect and sort out the actual issue," she wrote.
At the very end of the session though, replying to a user who suggested that there be a ministry only for men, Ms Gandhi said that she would welcome it.