Given equation: (42 ÷ 7) × 5 = 30 × 120 ÷ (10 + 5 × 2).
BODMAS Table:
Let's check each option one by one.
Option 1) 10 and 5
Given: (42 ÷ 7) × 5 = 30 × 120 ÷ (10 + 5 × 2)
After interchanging the numbers we get;
⇒ (42 ÷ 7) × 10 = 30 × 120 ÷ (5 + 10 × 2)
⇒ 6 × 10 = 30 × 120 ÷ (5 + 20)
⇒ 60 = 30 × 120 ÷ 25
⇒ 60 = 30 × 4.8
⇒ 60 ≠ 144
⇒ LHS ≠ RHS
Option 2) 2 and 5
Given: (42 ÷ 7) × 5 = 30 × 120 ÷ (10 + 5 × 2)
After interchanging the numbers we get;
⇒ (42 ÷ 7) × 2 = 30 × 120 ÷ (10 + 2 × 5)
⇒ 6 × 2 = 30 × 120 ÷ (10 + 10)
⇒ 12 = 30 × 120 ÷ 20
⇒ 12 = 30 × 6
⇒ 12 ≠ 180
⇒ LHS ≠ RHS
Option 3) 7 and 2
Given: (42 ÷ 7) × 5 = 30 × 120 ÷ (10 + 5 × 2)
After interchanging the numbers we get;
⇒ (42 ÷ 2) × 5 = 30 × 120 ÷ (10 + 5 × 7)
⇒ 21 × 5 = 30 × 120 ÷ (10 + 35)
⇒ 105 = 30 × 120 ÷ 45
⇒ 105 ≠ 80
⇒ LHS ≠ RHS
Option 4) 10 and 30
Given: (42 ÷ 7) × 5 = 30 × 120 ÷ (10 + 5 × 2)
After interchanging the numbers we get;
⇒ (42 ÷ 7) × 5 = 10 × 120 ÷ (30 + 5 × 2)
⇒ 6 × 5 = 10 × 120 ÷ (30 + 10)
⇒ 30 = 10 × 120 ÷ 40
⇒ 30 = 10 × 3
⇒ 30 = 30
⇒ LHS = RHS
Hence, the correct answer is "Option 4".