11 : 25 : : 17 : ______

The given question "11 : 25 : : 17 : ______" follows a mathematical pattern, where we need to find the relationship between the first and second numbers, then apply that relationship to find the fourth number.

Step-by-Step Analysis

First, let's examine the relationship between 11 and 25:

• If we multiply 11 by 2, we get 22.
• Next, add 3 to 22, which gives 25.

Thus, the relationship between 11 and 25 can be expressed as:

11 × 2 + 3 = 25

Applying the Same Logic to 17

Now, let's apply the same pattern to the number 17:

• First, multiply 17 by 2, which gives 34.
• Then, add 3 to 34, which results in 37.

Therefore, using the same logic as the first pair (11 : 25), we get:

17 × 2 + 3 = 37