For the d5200 it doesn't have a focus motor in the body so stick to the lenses that end with G, the others won't have a focus motor in the lens unless you want manual focus only.... 1.4 lenses will usually be at least double or maybe triple the price of the 1.8 and for anyone but a pro the 1.8 is still an amazing lens compared to a zoom as far as sharpness and bokeh. What subjects she likes to shoot and at what focal length would determine the lens to get. I personally have the 35 1.8G and the 85 1.8G always in my bag as my do all combo. 35mm is my all around especially for landscapes, 50 is a great all around and better for portraits, the 85 is much high quality than the 35 and 50 and a great portrait length for headshots and torso shots or for general short telephoto shots. The 85mm 1.8g is the sharpest lens you can buy under $1000 as far as I know. Now I'm rambling, I wouldn't get all 3, I'd pick the two that fit her needs the best and according to her budget. Did I ramble on long enough? Lol
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