Short Answer 
The sequence of times is analyzed to find the missing time, 11:35, which is determined by calculating the increasing differences between the times. The differences of 34, 36, and the next expected 38 minutes lead to the conclusion that the missing time fits the pattern.
Step 1: Understand the Sequence
A sequence is a series of numbers arranged in a specific order, where each number relates to its previous number based on a particular rule. In this case, the sequence presented is: 9:47, 10:21, 10:57, ?, 12:15. To find the missing time, we need to analyze the differences between these times.
Step 2: Calculate the Differences
To identify the missing number, calculate the differences in minutes between consecutive times in the sequence. The results will show how the difference increases by two minutes each time:
- 10:21 – 9:47 = 34 minutes
- 10:57 – 10:21 = 36 minutes
- Next difference should be 38 minutes
Step 3: Find the Missing Number
Now that we know the next difference is 38 minutes, we can add this to the last known value in the sequence:
- 10:57 + 38 minutes = 11:35
Thus, the missing number in the sequence is 11:35 and the correct answer choice is D.