Option 3 : 5

**Given:**

2.5 × 1.1 + 3.5 × 3 - [13 - 2 × (2.7 + 2 × k)] = 25.65

Concept used:

Follow BODMAS rule to solve this question, as per the order given below,

Calculations:

Using the concept of BODMAS to simplify the given equation,

⇒ 2.5 × 1.1 + 3.5 × 3 - [13 - 2 × (2.7 + 2 × k)] = 25.65

⇒ 2.75 + 10.5 - 13 + 2 × (2.7 + 2 × k)] = 25.65

⇒ 2 × (2.7 + 2 × k)] = 25.65 - 0.25

⇒ 2 × (2.7 + 2 × k)] = 25.40

⇒ 2.7 + 2k = 12.7

⇒ 2k = 10

⇒ k = 5

**∴ The value of k for the given expression is 5**