9:47, 10:21, 10:57, ?, 12:15
The Correct Answer and Explanation is :
To solve the sequence of times: 9:47, 10:21, 10:57, ?, 12:15, we need to identify the pattern in the time increments.
- Calculate the time differences:
- From 9:47 to 10:21:
- 10:21 – 9:47 = 34 minutes
- From 10:21 to 10:57:
- 10:57 – 10:21 = 36 minutes
- Identifying a pattern:
- The first difference is 34 minutes.
- The second difference is 36 minutes.
- It seems that the differences are increasing by 2 minutes.
- Predict the next time difference:
- Following the established pattern, the next difference should be:
- 36 minutes (from the second time) + 2 minutes = 38 minutes.
- Calculate the next time:
- Starting from 10:57, we add 38 minutes:
- 10:57 + 38 minutes = 11:35.
- Verify the next increment:
- Finally, from 11:35 to 12:15:
- 12:15 – 11:35 = 40 minutes.
- This confirms that the pattern of increasing increments (34, 36, 38, 40) holds true.
Thus, the missing time in the sequence is 11:35.
Conclusion: The sequence follows a consistent pattern where each subsequent interval increases by 2 minutes. This method can be applied to similar sequences to identify missing elements by first determining the differences and then checking for a consistent increase or decrease in those differences. Recognizing patterns is a valuable skill not only in mathematics but also in logical reasoning and problem-solving in various fields.