Which two numbers and two signs should be interchanged in the following equation to make it correct? 

7 × 14 ÷ 6 + 12 + 6 = 30

Here, we use the BODMAS table given below:

Given:

⇒ 7 × 14 ÷ 6 + 12 + 6 = 30

(1) 7 and 6 × and ÷

⇒ 7 × 14 ÷ 6 + 12 + 6 = 30

After interchanging the sign and number:

⇒ 6 ÷ 14 × 7 + 12 + 7 = 30

Apply BODMAS rule:

⇒ 0.428 × 7 + 12 + 7

⇒ 3 + 12 + 7

⇒ 15 + 7 = 22

Here, the equation is not satisfied.

(2) 7 and 14, × and ÷

⇒ 7 × 14 ÷ 6 + 12 + 6 = 30

After interchanging the sign and number:

⇒ 14 ÷ 7 × 6 + 12 + 6 = 30

Apply BODMAS rule:

⇒ 2 × 6 + 12 + 6

⇒ 12 + 12 + 6

⇒ 24 + 6 = 30

⇒ '14 ÷ 7 × 6 + 12 + 6 = 30'

Here, the equation is satisfied.

(3) 7 and 6, ÷ and +

⇒ 7 × 14 ÷ 6 + 12 + 6 = 30

After interchanging the sign and number:

⇒ 6 × 14 + 7 ÷ 12 ÷ 7 = 30

Apply BODMAS rule:

⇒ 6 × 14 + 7 ÷ 1.714

⇒ 6 × 14 + 4.08

⇒ 84 + 4.08

⇒ 88.08

Here, the equation is not satisfied.

(4) 7 and 14, × and +

⇒ 7 × 14 ÷ 6 + 12 + 6 = 30

After interchanging the sign and number:

⇒ 14 + 7 ÷ 6 × 12 × 6 = 30

Apply BODMAS rule:

⇒ 14 + 7 ÷ 6 × 12 × 6

⇒ 14 + 1.166 × 12 × 6

⇒ 14 + 84 = 98

Here, the equation is not satisfied.

Hence, the correct answer is "Option (2)".