Which one will replace the question mark (?)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743791820/aptidude_questions/n9cv3lg1nphqkwxckqx8.png)

Question

Which one will replace the question mark (?)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743791820/aptidude_questions/n9cv3lg1nphqkwxckqx8.png)

Accepted Answer

To find the missing central number in the third triangle, observe the pattern in the first two triangles:

#### Step 1: Analyze the First Triangle
- Surrounding numbers: **5, 6, and 4**.
- Central number: **34**.
- Calculation rule: Multiply the two largest numbers and add the smallest number:  
  $$
  (5 	imes 6) + 4 = 30 + 4 = 34.
  $$

#### Step 2: Analyze the Second Triangle
- Surrounding numbers: **9, 2, and 8**.
- Central number: **26**.
- Apply the same rule:  
  $$
  (9 	imes 2) + 8 = 18 + 8 = 26.
  $$

#### Step 3: Solve for the Third Triangle
- Surrounding numbers: **7, 6, and 3**.
- Apply the rule to find the missing central number:  
  $$
  (7 	imes 6) + 3 = 42 + 3 = 45.
  $$

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Thus, the missing central number in the third triangle is **45**, making Option **4** correct.

Answer

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