Table of Contents
31-152, 47-168, 66-187: Discover the Hidden Pattern
In certain reasoning and number pattern questions, recognizing mathematical relationships between pairs of numbers is key to finding the correct solution. A problem might look like this:
- 31 → 152
- 47 → 168
- 66 → ?
The task is to determine the number that relates to 66 in the same way that 152 relates to 31 and 168 relates to 47.
Step-by-Step Analysis
At first glance, there doesn’t appear to be an immediately obvious relationship between the numbers. However, after experimenting with basic operations like addition, subtraction, multiplication, and squaring, a distinct pattern emerges.
- First Pair: 31 → 152
We notice that:
31 + 121 = 152
- Second Pair: 47 → 168
Applying the same concept to the second pair:
47 + 121 = 168
- Third Pair: 66 → ?
Now, we apply this pattern to the third number:
[
66 + 121 = 187
]
Thus, the number that corresponds to 66 is 187.
Conclusion
The pattern in this problem involves adding the square of 11, which is 121, to each given number to obtain the corresponding result. This consistent addition yields the correct answer of 187 for the final pair, fitting the same pattern as the previous two pairs.
This problem is a great example of how recognizing a mathematical pattern can lead to the correct solution. It shows the importance of exploring various operations like squaring and simple arithmetic to uncover hidden relationships between numbers.