The victim filed a case over the matter on Saturday night, said Officer-in-Charge of Ashulia Police Station Ziaul Islam.
The arrestees were identified as Saiful Islam Babu, Arif Mia, Abu Bakar and Rana Molla.
Police said the arrestees kidnapped the victim on Wednesday night from Gazirhat area and gang-raped her in an abandoned house.
Also read: Disabled woman raped on moving train; rail employee detained
The victim has been sent to Dhaka Medical College and Hospital (DMCH) for a medical test, OC said.
Rapes in Bangladesh
Cases of rape are on the rise in Bangladesh, despite the government introducing death penalty for the heinous crime.
According to data compiled by Ain o Salish Kendra (ASK), a rights group, 1,018 children were raped last year alone, but only 683 cases were filed at police stations. Among them, some 116 were of 6 years or below.
Also read: Bangladesh introduces death penalty for rape
Overall, 1,627 cases of rape were reported last year and 53 of them were killed by the perpetrators after the crime while 14 took their own lives, the ASK data reveals.
In November last, Bangladesh introduced the death penalty for rape cases, following days of protests against sexual violence against women.
Also read: Death penalty fails to deter rapes
Although the government for introducing the death penalty, gang rapes in Bangladesh continue to hit headlines.
In October last, the country was rocked by huge protests after a woman was attacked and raped in Noakhali district. In another case in Sylhet a week later, a woman was gang raped at a hostel, triggering nationwide protests again.