The Gutenberg Discontinuity is located between the mantle and the core of the Earth. Option 1, which states that it lies between the crust and the mantle, is incorrect. The crust is the outermost layer of the Earth, while the Gutenberg Discontinuity is much deeper, closer to the core. Option 3, which suggests that it lies between the upper and lower mantle, is also incorrect as the Gutenberg Discontinuity specifically marks the boundary between the mantle and the core. Option 4, which proposes that it lies between the inner and outer core, is also incorrect because the Gutenberg Discontinuity itself is located within the mantle and does not extend into the core. Therefore, the correct answer is option 2, the mantle and the core.