Step 1: Understanding the Concept:
This is a visual number puzzle where the values inside the central inner sections (triangles) are derived from a mathematical operation applied to the adjacent numbers in the outer sections (semi-circles).
Step 2: Key Formula or Approach:
Analyze the relationship between the outer boundary numbers and the inner central numbers. Test basic arithmetic operations (addition, subtraction, multiplication) between adjacent outer segments moving in a clockwise direction.
Step 3: Detailed Explanation:
Let us verify the pattern by adding consecutive adjacent numbers on the outer edge, moving clockwise:
1. Top Inner Number: Add the Top outer number (12) and the Right outer number (15).
\[ 12 + 15 = 27 \]
This perfectly matches the number in the top inner section.
2. Right Inner Number: Add the Right outer number (15) and the Bottom outer number (11).
\[ 15 + 11 = 26 \]
This matches the number in the right inner section.
3. Bottom Inner Number: Add the Bottom outer number (11) and the Left outer number (18).
\[ 11 + 18 = 29 \]
This matches the number in the bottom inner section.
4. Left Inner Number (?): Following the exact same logic, add the Left outer number (18) and the Top outer number (12) to find the missing value.
\[ ? = 18 + 12 = 30 \]
Step 4: Final Answer:
The number that shall come in place of '?' is 30.