Number Pattern Logic: 94, 61, 83 Group

Identifying the Common Property

The task is to find a number from the options that shares a common characteristic with the given numbers: 94, 61, and 83. First, we must identify the underlying pattern.

Analyzing the Digit Differences

Let's compute the absolute difference between the digits of each number provided:

• For 94: The digits are 9 and 4. The absolute difference is $|9 - 4| = 5$.
• For 61: The digits are 6 and 1. The absolute difference is $|6 - 1| = 5$.
• For 83: The digits are 8 and 3. The absolute difference is $|8 - 3| = 5$.

The consistent pattern observed across these numbers is that the absolute difference between their constituent digits equals 5.

Evaluating the Options

We now apply this identified pattern (digit difference = 5) to each option:

• Option 1 (96): The difference between its digits is $|9 - 6| = 3$. This does not match the pattern.
• Option 2 (72): The difference between its digits is $|7 - 2| = 5$. This matches the established pattern.
• Option 3 (87): The difference between its digits is $|8 - 7| = 1$. This does not match the pattern.
• Option 4 (75): The difference between its digits is $|7 - 5| = 2$. This does not match the pattern.

Conclusion: The Matching Number

Only the number 72, presented in Option 2, exhibits the property that the absolute difference between its digits is 5. Therefore, 72 belongs to the group defined by 94, 61, and 83.