Which two numbers (not digits) should be interchanged to make the given equation correct?
(3 × 16) ÷ 8 + 124 ÷ 2 – 64 ÷ (2 × 4) = 84

Correct option is B

Given: (3 × 16) ÷ 8 + 124 ÷ 2 – 64 ÷ (2 × 4) = 84
Option (a) 2 and 3 interchanged in the equation we get-
(2 × 16) ÷ 8 + 124 ÷ 3 – 64 ÷ (2 × 4) = 84
Following the BODMAS rule (Bracket, Orders (i.e. powers and square roots, etc.), Division and Multiplication, Addition and Subtraction):
1. Bracket (): 32 ÷ 8 + 124 ÷ 3 – 64 ÷ 8 = 84
2. Division (÷): 4 + 41.33 – 8 = 84
3. Addition (+): 45.33 – 8 = 84
4. Subtraction (-): 33.33 ≠ 84
Option (b) 16 and 64 interchanged in the equation we get-
(3 × 64) ÷ 8 + 124 ÷ 2 – 16 ÷ (2 × 4) = 84
Following the BODMAS rule (Bracket, Orders (i.e. powers and square roots, etc.), Division and Multiplication, Addition and Subtraction):
1. Bracket (): 192 ÷ 8 + 124 ÷ 2 – 16 ÷ 8 = 84
2. Division (÷): 24 + 62 – 2 = 84
3. Addition (+): 86 – 2 = 84
4. Subtraction (-): 84 =84
Final Answer: (b) 16 and 64