https://file.aiquickdraw.com/mathbot/file/1725652153294bd77m31h.jpg

The image shows a figure-based puzzle with three cross-shaped patterns, each filled with numbers. The task is to determine the missing number (indicated by a question mark) in the third pattern (C), and then choose the correct answer from the provided options (A, B, C, D).

Let’s analyze the patterns:

1. **Pattern A**:
   - Central number: 55
   - Numbers around: 9, 8, 6, 4
   - Sum of the surrounding numbers: 9 + 8 + 6 + 4 = 27
   - Difference between the central number and the sum of the surrounding numbers: 55 - 27 = 28

2. **Pattern B**:
   - Central number: 79
   - Numbers around: 19, 12, 8, 7
   - Sum of the surrounding numbers: 19 + 12 + 8 + 7 = 46
   - Difference between the central number and the sum of the surrounding numbers: 79 - 46 = 33

3. **Pattern C** (with the missing number):
   - Central number: ?
   - Numbers around: 16, 13, 9, 6
   - Sum of the surrounding numbers: 16 + 13 + 9 + 6 = 44

To find the missing central number, we observe that the differences in patterns A and B (28 and 33) are increasing by 5. So, we can infer that the difference in pattern C will be 33 + 5 = 38.

Thus, the central number in pattern C should be:
\[
\text{Central number} = 44 + 38 = 82
\]

Therefore, the correct answer is **82**, but this does not match any of the options provided.

Let me verify and provide further insight. Based on the given options, it is possible that the question or patterns need a different interpretation or an error exists in the setup.

Would you like further clarification or another approach to this? Here are some possible related questions for further exploration:

1. How do patterns of numbers generally follow logical sequences in puzzles?
2. What are common techniques to identify number relationships in puzzles like this?
3. Can you always rely on arithmetic differences in such logical puzzles?
4. What if geometric or multiplicative relations are used instead of additive?
5. How could this puzzle change if negative differences or other operations are applied?

**Tip**: For puzzles involving number sequences or patterns, always check if the differences between values follow a regular progression or involve basic arithmetic or geometric relationships.

In the following figure, select the number that will come in place of the question mark (?). The figure shows three cross-shaped patterns labeled A, B, and C, with central and surrounding numbers. The options for the missing number are: A. 145, B. 125, C. 155, D. 135.

Learn how to solve a number puzzle where the missing number must be found in a cross-shaped pattern. Explore how the sum of surrounding numbers and arithmetic progression help in identifying the central number. Suitable for Grades 6-8 students.

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