To find the correct set, we must first identify the mathematical relationship between the numbers in the given sets: (41, 34, 24) and (63, 80, 23).

Analyzing the Given Sets

Let the numbers in the set be represented as $(a, b, c)$.

Set 1: (41, 34, 24)

The difference between the first and third numbers: $41 - 24 = 17$

Multiply the difference by 2: $17 \times 2 = 34$

This gives us the middle number: $b = 34$

Set 2: (63, 80, 23)

The difference between the first and third numbers: $63 - 23 = 40$

Multiply the difference by 2: $40 \times 2 = 80$

This gives us the middle number: $b = 80$

Logic Identified:

The relationship is: $(First\ Number - Third\ Number) \times 2 = Second\ Number$

Evaluating the Options

(46, 86, 24)

$46 - 24 = 22$

$22 \times 2 = 44$ (Does not match 86)

(43, 40, 23)

$43 - 23 = 20$

$20 \times 2 = 40$ (Matches the middle number!)

(17, 14, 11)

$17 - 11 = 6$

$6 \times 2 = 12$ (Does not match 14)

(17, 2, 19)

$17 - 19 = -2$

$-2 \times 2 = -4$ (Does not match 2)

The set that follows the same logic is (43, 40, 23).