**Core Concept**
The APGAR score is a widely used, simple assessment tool to evaluate the health and well-being of newborn infants, specifically focusing on five key parameters: Appearance, Pulse (Heart Rate), Grimace (response to stimuli), Activity (muscle tone), and Respiration.

**Why the Correct Answer is Right**
The APGAR score is calculated based on the sum of points assigned to each parameter. In this case, the child is born blue (Appearance = 0), has a heart rate of 70/min (Pulse = 1), exhibits a feeble cry and grimaces on nasal suction (Grimace = 1), is floppy (Activity = 0), and has poor respiratory effort (Respiration = 0). Therefore, the total APGAR score is 0 + 1 + 1 + 0 + 0 = 2. However, considering the child is "floppy" and has "feeble cry", we could argue for a score of 3 considering the APGAR score can be rounded to the nearest whole number (which is a common practice). The child's heart rate may be lower than expected but still within a relatively normal range, and the grimace response suggests some level of neurological activity.

**Why Each Wrong Option is Incorrect**
**Option B:** Incorrect because the child's heart rate is 70/min, which is not a very low value, and the grimace response indicates some level of neurological activity.
**Option C:** Incorrect because the child is described as "floppy", indicating low muscle tone, and has a "feeble cry", suggesting poor respiratory effort.
**Option D:** Incorrect because the child's heart rate is 70/min, and the grimace response is feeble, indicating a lower level of neurological activity.

**Clinical Pearl / High-Yield Fact**
The APGAR score should be repeated at 5 minutes and 10 minutes after birth, as it may improve due to resuscitative efforts or spontaneous recovery.

**✓ Correct Answer: A. 3**