538 : 32 : : 796 : ______

Step 1: Analyzing the relationship between 538 and 32

We can try a few approaches to establish a pattern. One possible method is to sum the digits of 538:

5+3+8=16

Now, let's divide 32 by 16:

32÷16=2

So, the number 32 is related to the sum of the digits of 538 in some way.

Step 2: Applying the same logic to 796

Now, let's apply the same logic to 796:

7+9+6=22

Now, divide 22 into the options:

Checking:44÷22=2

Step 3: Conclusion

So, following the same relationship, the correct answer is 44, since it follows the same pattern.

Correct Answer:

Option b: 44.