A person's viral load measured in some unit was 15, 25, 50, 200, 300, 150 and 30 on days 1 to 7, respectively. The maximum relative change took place between 2.0

Correct option is A

​Solution:

To determine the maximum relative change in the viral load, we need to calculate the relative change between the measurements for each consecutive day.

The relative change is calculated using the following formula: 

Given viral load measurements on days 1 to 7:

$$\text{Viral Load}=[15,25,50,200,300,150,30]$$

Let's calculate the relative change for each consecutive pair of days:

1. From Day 1 to Day 2:

$$\text{Relative Change} = \frac{25 - 15}{15} = \frac{10}{15} = 0.6667 \quad (66.67\%)$$​​

2. From Day 2 to Day 3: 

$$\text{Relative Change} = \frac{50 - 25}{25} = \frac{25}{25} = 1.0 \quad (100\%)$$

3. From Day 3 to Day 4: 

$$\text{Relative Change} = \frac{200 - 50}{50} = \frac{150}{50} = 3.0 \quad (300\%)$$​​

4. From Day 4 to Day 5: 

$$\text{Relative Change} = \frac{300 - 200}{200} = \frac{100}{200} = 0.5 \quad (50\%)$$​​

5. From Day 5 to Day 6: 

$$\text{Relative Change} = \frac{150 - 300}{300} = \frac{-150}{300} = -0.5 \quad (-50\%)$$​​

6. From Day 6 to Day 7: 

$$\text{Relative Change} = \frac{30 - 150}{150} = \frac{-120}{150} = -0.8 \quad (-80\%)$$​​

$$\text{Maximum Relative Change took place between Day 3 and Day 4: } 300\%$$​​

Conclusion:

The maximum relative change occurred between Day 3 and Day 4, where the viral load increased from 50 to 200. This represents a 300% increase.

Thus, the maximum relative change took place between Day 3 and Day 4.

Relative Change=New Value−Old ValueOld Value\text{Relative Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}