The fire halted phone calls, and disrupted internet access, with internet monitoring group Netblocks saying network data showed national connectivity at 62 per cent of ordinary levels.
The health ministry posted alternative numbers for ambulance services across different governorates in case people were unable to reach its main hotline.
Besides phone calls, some digital banking services were also impacted including credit cards, ATM machines and online transactions, a bank source and residents said on Monday. Banks had already been closed for the day.
The injuries were mostly because of smoke inhalation, health ministry spokesperson Ghaffar said on Monday.
The state news agency MENA said on Monday the fire had been prevented from spreading to the entire building and neighbouring rooftops.
An initial examination indicated that the fire was likely to have been caused by an electrical short circuit, MENA cited a security source as saying.