### Step-by-Step Solution:
1. **Understanding Hysterectomy**: Hysterectomy is a surgical procedure that involves the removal of the uterus. It can be performed for various medical reasons, including fibroids, endometriosis, or cancer.
**Hint**: Remember that hysterectomy specifically refers to the removal of the uterus, not other reproductive organs.
2. **Evaluating Statement I**: The first statement claims that if the ovaries are not removed during a hysterectomy, hormonal changes will continue, but there will be no menstrual bleeding. This is true because the ovaries produce hormones like estrogen and progesterone, which regulate the menstrual cycle. If the uterus is removed, there will be no bleeding, but hormonal changes will still occur.
**Hint**: Consider how the menstrual cycle is regulated and what happens when the uterus is removed.
3. **Evaluating Statement II**: The second statement states that if the ovaries are removed, the individual will experience changes similar to menopause. This is also correct, as the removal of the ovaries leads to a decrease in the production of hormones, resulting in symptoms akin to menopause, such as hot flashes and mood changes.
**Hint**: Think about the role of ovaries in hormone production and how their removal affects the body.
4. **Evaluating Statement III**: The third statement mentions that hysterectomy is the second most frequently performed operation for women, following cesarean sections. This is accurate, as hysterectomies are commonly performed for various health issues.
**Hint**: Consider the prevalence of surgical procedures in women's health and their common reasons.
5. **Conclusion**: All three statements regarding hysterectomy are correct. Therefore, the answer to the question is that all points (I, II, and III) are accurate.
**Hint**: When evaluating multiple statements, ensure that you assess each one independently before concluding.
