a
Given Equation → 14 + 16 ÷ 40 × 8 - 48 = 46
Checking options one by one by interchanging the signs
1) ÷ and ×
After interchanging ÷ and × we get
New Equation → 14 + 16 × 40 ÷ 8 - 48 = 46
Now, after solving the equation using BODMAS Rule, we get:-
14 + 16 × 40 ÷ 8 - 48 = 46
14 + 16 × 5 - 48 = 46
14 + 80 - 48 = 46
94 - 48 = 46
46 = 46
Left hand side is equal to right hand side.
2) × and -
After interchanging × and - we get
New Equation → 14 + 16 ÷ 40 - 8 × 48 = 46
Now, after solving the equation using BODMAS Rule, we get:-
14 + 16 ÷ 40 - 8 × 48 = 46
14 + 0.4 - 8 × 48 = 46
14 + 0.4 - 384 = 46
14.4 - 384 = 46
-369.6 ≠ 46
Left hand side is not equal to right hand side.
3) ÷ and -
After interchanging ÷ and - we get
New Equation → 14 + 16 - 40 × 8 ÷ 48 = 46
Now, after solving the equation using BODMAS Rule, we get:-
14 + 16 - 40 × 8 ÷ 48 = 46
14 + 16 - 40 × 0.16 = 46
14 + 16 - 6.4 = 46
30 - 6.4 = 46
23.6 ≠ 46
Left hand side is not equal to right hand side.
4) - and +
After interchanging - and + we get
New Equation → 14 - 16 ÷ 40 × 8 + 48 = 46
Now, after solving the equation using BODMAS Rule, we get:-
14 - 16 ÷ 40 × 8 + 48 = 46
14 - 0.16 × 8 + 48 = 46
14 - 1.28 + 48 = 46
14 + 48 - 1.28 = 46
62 - 1.28 = 46
60.72 ≠ 46
Left hand side is not equal to right hand side.
Hence, the correct answer is "÷ and ×".