What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and also '×' and '÷' are interchanged?
13÷8−96×6+17=?
- A98
- B107
- C114
- D103
Solution & Step-by-step Explanation
Given equation: 13÷8−96×6+17=?
Interchanging the signs:
÷→×
−→+
×→÷
+→−
The new equation is:
13×8+96÷6−17=?
Applying BODMAS rule:
Division:
96÷6=16
Equation becomes: 13×8+16−17=?
Multiplication:
13×8=104
Equation becomes: 104+16−17=?
Addition and Subtraction:
104+16=120
120−17=103
Therefore, ?=103.
Interchanging the signs:
÷→×
−→+
×→÷
+→−
The new equation is:
13×8+96÷6−17=?
Applying BODMAS rule:
Division:
96÷6=16
Equation becomes: 13×8+16−17=?
Multiplication:
13×8=104
Equation becomes: 104+16−17=?
Addition and Subtraction:
104+16=120
120−17=103
Therefore, ?=103.