Step 1: Recall the core hormonal picture of PCOS. There is chronic anovulation, raised androgens, and a relative excess of unopposed oestrogen because regular progesterone-producing corpora lutea are not formed.
Step 2: Link the hormones to risk. Unopposed oestrogen continuously stimulates the endometrium, raising the risk of endometrial hyperplasia and endometrial carcinoma (B). PCOS is also strongly tied to insulin resistance and hyperinsulinaemia, which drives the metabolic syndrome and worsens the hyperandrogenism (C). There is a modest reported association with ovarian carcinoma as well (A).
Step 3: Test the bone option. Osteoporosis comes from oestrogen deficiency, as in menopause or hypothalamic amenorrhoea. In PCOS oestrogen levels are normal to high, not low, so the bones are not deprived of oestrogen. Hence osteoporosis is not a feature.
Step 4: Conclude. The odd one out is osteoporosis because it requires an oestrogen-deficient state, the opposite of the unopposed-oestrogen environment of PCOS.
Answer: Osteoporosis (Option D).