Step-by-step Solution:

Solution Breakdown

The puzzle is solved by identifying a consistent mathematical rule that connects the outer numbers to the central number in each figure.

The Pattern

The rule for each figure is as follows: Multiply the number on the left by the number on the right, and then add the top and bottom numbers to the result.

Rule: (Left × Right) + Top + Bottom = Center

Verifying the Pattern

• First Figure:
  (5 × 4) + 6 + 7 = 20 + 13 = 33.
  The rule works.
• Second Figure:
  (6 × 7) + 5 + 4 = 42 + 9 = 51.
  The rule works.

Calculating the Missing Number

We apply the same established rule to the third figure:

• Third Figure:
  (9 × 5) + 1 + 2 = 45 + 3 = 48.

Conclusion

The missing number is 48, which corresponds to option D.