Separately, former India cricket captain Bishen Singh Bedi said the appointment "defies all logic".
Chetan Bhagat also waded into the Chauhan controversy after his name was dragged by the AAP which while mocking at the cricketer's appointment yesterday had suggested that the celebrated author appoint him as the next RBI governor.
Bhagat took to twitter to hit out at the Aam Aadmi Party, saying he knew economies and monetary policies better than anyone in that party and that they should behave rather than indulging in 'mud-slinging'.
"The person who becomes Chairman does not take decisions on his own and in a statutory body there are people from every area...There is no harm in this and a person with repute in his field can be appointed," he said.
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RJD spokesperson Manoj Jha said it appeared that the Modi government has decided that the less qualified you are, the more qualified you are for any position.
"Now that you have decided so hence, you have Gajendra Chauhan (FTTI) and Pahlaj Nihlani (CBFC)...We are afraid now such people will be sent to ISRO and UGC.
Jha said such a decision poses questions on the purity (suchita) and transparency of Prime Minister Narendra Modi.
Congress leader Tom Vadakkan said the appointment of Chauhan was like putting a cricket captain in a football team.
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Bedi termed the declaration of Chauhan's name as nothing but a "political appointment."
He said Chauhan as NIFT chief "defies all logic" and the announcement was a development he would call of a "very very low ebb".
JD(U) leader Sharad Yadav said Chauhan had been a BJP MP in the past and people 'paarangat' (deft) in the subject should only be appointed to such institutions.
NIFT alumnus and fashion designer Rina Dhaka, however, chose to make a balanced statement.
She said had there been an another person and not like that of a stark contrasting background like Chauhan, there would have been no eyebrows raised.
"What I understand from the precedence of NIFT is that from its inception there is a ceremonial head who necessarily never has had any connection to fashion.
Dhaka said the current debate and uproar should be an "opportunity" that people from fashion and related trades like garments and technical streams are brought in to make "serious difference" on the board of NIFT.
As per the NIFT Act 2006, the Chairperson of its Board of Governors shall be an eminent academician, scientist or technologist or professional, who is to be nominated by the Visitor, in this case the President of India.