2-room HDB flats are offered under the Public Rental Scheme to assist the low-income. You can read more about it here: https://www.hdb.gov.sg/cs/infoweb/residential/renting-a-flat/renting-from-hdb/public-rental-scheme
To be eligible for the scheme, your total household gross income should not exceed $1,500 per month.
You may apply for the Public Rental Scheme here: https://www.hdb.gov.sg/cs/infoweb/residential/renting-a-flat/renting-from-hdb/public-rental-scheme/application-procedure
We wish you all the best in your application.
Hope this answers your question.
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