Many residents in the neighborhood belong to the Shiite Hazara community, an ethnic and religious minority frequently targeted by extremist groups, including Daesh (ISIL or ISIS).
"Three blasts have taken place ... In a high school, there are some casualties to our Shiite people," said Khalid Zadran, the spokesman for Kabul's commander, Reuters reported.
The head of a hospital nursing department, who declined to be named, said at least four people had been killed and 14 wounded in the blasts.
There was no immediate claim of responsibility for the attack, which followed a lull in violence over the cold winter months and after foreign forces withdrew last year.
The Taliban say they have secured the country since taking power in August, but international officials and analysts say that the risk of a resurgence in militancy remains and the Daesh terrorist group has claimed several major attacks.