How Many RAM Slots Does a Dell Inspiron 3537 Have?

Assuming you are referring to the Dell Inspiron 15 3000 Series (3537), it has 2 RAM slots.

Dell Inspiron 15 3000 Series (3537)
The Dell Inspiron 15 3000 Series (3537) is a budget-class 15.6-inch notebook that was released in early 2014. It is one of the first models in the newly redesigned Inspiron 15 3000 line. The 3537 is a basic notebook with a plastic chassis and a textured black finish.

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It has a 500 GB hard drive and 4 GB of RAM. The processor is a 4th generation Intel Core i3-4010U with Intel HD Graphics 4400. The screen is a TN panel with a resolution of 1366×768.

The 3537 has two RAM slots and comes with 4 GB of RAM. The maximum amount of RAM that can be installed is 16 GB.

Conclusion:
The Dell Inspiron 3537 has two RAM slots and can hold up to 16GB of RAM total.