**Core Concept**
The **Neonatal Mortality Rate (NMR)** is a key indicator of newborn and infant health, defined as the number of deaths per 1000 live births during the first 28 days of life. It reflects the quality of prenatal, delivery, and early infant care practices.

**Why the Correct Answer is Right**
To calculate the NMR, we need to determine the number of live births and the number of deaths within the first 28 days. Given 50 stillbirths, the number of live births is 4050 - 50 = 4000. The total number of deaths within the first 28 days includes those within the first 7 days (50) and those between 8-28 days (150), totaling 200 deaths. The NMR is then calculated as (200 / 4000) * 1000.

**Why Each Wrong Option is Incorrect**
**Option A:** This option would be incorrect because it does not accurately reflect the calculation based on the given data.
**Option B:** Similarly, this option is incorrect as it does not match the calculated NMR based on the provided numbers of live births and neonatal deaths.
**Option C:** This is also incorrect for the same reason, not aligning with the calculated rate from the given data.
**Option D:** Incorrect as it does not represent the correct calculation of NMR.

**Clinical Pearl / High-Yield Fact**
Remember, the **Neonatal Mortality Rate** is a crucial indicator of the level of newborn and maternal care provided in a community. It is essential to distinguish between stillbirths and live births when calculating this rate.

**Correct Answer:** 50