[NAME]  Do not post Service Tags on public forums. They can allow people to submit false ownership transfer requests for your system, which can make it more difficult for you to get warranty support or prove ownership if ever required.The Setup and Specifications document for that system available on support.dell.com says the HDMI output is HDMI 1.4b.  That revision supports QHD 60 Hz or 4K 30 Hz, so as long as there isn't some other limitation in the system, you should be able to run a QHD 60 Hz display just fine.
I have a Dell Inspiron 13-5379 laptop service tag: . If I connect it to a (2560X1440) QHD monitor, can it support that resolutions? Thanks, 
maximum display resolutions supported by Dell Inspiron 13-5379 laptop