To solve this problem, we can break it down into smaller steps:

Step 1: Calculate the rate at which the pipe fills the cistern
Given that the pipe can fill the cistern in 16 hours, we can say that the rate at which the pipe fills the cistern is 1/16 of the cistern per hour.

Step 2: Calculate the time taken to fill half of the cistern
Since the pipe fills the cistern at a rate of 1/16 of the cistern per hour, it will take 16 * (1/2) = 8 hours to fill half of the cistern.

Step 3: Calculate the rate at which the four taps together fill the cistern
When three more similar taps are opened, the total number of taps becomes four. Since the taps are similar, each tap will fill at the same rate as the original pipe. Therefore, the rate at which the four taps together fill the cistern is 4 * (1/16) = 1/4 of the cistern per hour.

Step 4: Calculate the time taken to fill the remaining half of the cistern using the four taps
Since the four taps together fill the cistern at a rate of 1/4 of the cistern per hour, it will take 4 * (1/2) = 2 hours to fill the remaining half of the cistern.

Step 5: Calculate the total time taken to fill the cistern completely
The total time taken to fill the cistern completely is the sum of the time taken to fill half of the cistern and the time taken to fill the remaining half of the cistern. Therefore, the total time taken is 8 hours + 2 hours = 10 hours.

However, the options given in the question do not include 10 hours. So, let's recheck our calculations.

Upon rechecking, we realize that we made a mistake in Step 4. The four taps together fill the cistern at a rate of 1/4 of the cistern per hour, but we need to fill only half of the cistern. So, the time taken to fill the remaining half of the cistern using the four taps is 1/2 * (1/4) = 1/8 of an hour, which is equal to 7.5 minutes.

Therefore, the correct total time taken to fill the cistern completely is 8 hours + 7.5 minutes = 8 hours and 7.5 minutes, which is approximately 8 hours and 9 minutes.

None of the given options match the correct answer, so the correct answer is None of the Above.