Correct Answer - Option 2 : 16 ∶ 27

**Given:**

\(\dfrac{a}{b}=\dfrac{2}{3}\)

**Calculation:**

Let the value of A be 2x

And the value of B be 3x

**According to the question:**

5a3 - 2a2b ∶ 3ab2 - b3

⇒ [5 × (2x)^{3} - 2 × (2x)^{2} × 3x : [3 × 2x × (3x)2 - (3x)3]

⇒ (5 × 8x3 - 2 × 4x2 × 3x) : (3 × 2x × 9x2 - 27x3)

⇒ (40x3 - 24x^{3}) : (54x^{3} - 27x3)

⇒ 16x3 : 27x3 = 16 : 27

**∴ The answer will be 16 : 27.**