1. The problem presents a circle with an inscribed square, marked with numbers at four points around the circle: 24 at the top, 16 on the right, 19 at the bottom, and a question mark (?) on the left. 2. We need to find the missing number on the left side of the circle, based on the pattern or relationship among the given numbers. 3. The numbers 1, 2, 3, and 4 inside the square divide it into four triangles by the diagonals; these might correspond to the four sides or sections and their associated numbers around the circle. 4. Given the positions of numbers around the circle (top=24, right=16, bottom=19, left=?), we can suspect a numeric relationship to figure out the missing number. 5. One possible approach: sum pairs of opposite numbers and check for consistency. 6. Sum top (24) and bottom (19): $$24 + 19 = 43$$ 7. Sum right (16) and left (?): $$16 + ? = 43$$ to maintain the same sum. 8. Therefore, the missing number on the left is: $$? = 43 - 16 = 27$$ 9. Since 27 is not among provided options (17, 18, 19, 23), consider a different approach. 10. Another approach might be looking at differences or ratios. 11. Observe differences between opposite points:top (24) - bottom (19) = 5; right (16) - left (?) = should also be 5 if pattern holds. 12. So, left number would be $$16 - 5 = 11$$ (not in options). 13. Try sum of adjacent numbers: top (24) + right (16) = 40; right (16) + bottom (19) = 35; bottom (19) + left (?) = same difference? 14. Check sum of numbers inside square triangles might represent fractional parts or a pattern. 15. Without further clues, the closest and most reasonable choice is 23, the only larger number besides the top 24 and bottom 19. 16. So, the missing number is likely 23. Answer: 23