What will come in the place of the question mark (?) in the following equation, if '+' and '÷' are interchanged and '×' and '-' are interchanged?
5−63+9÷10×6=?
- A39
- B33
- C36
- D30
Solution & Step-by-step Explanation
Given original equation:
5−63+9÷10×6=?
Apply the specified sign interchanges:
Interchange + and ÷
Interchange × and −
The modified mathematical expression becomes:
5×63÷9+10−6
Now evaluate the equation using the BODMAS convention:
Division:
63÷9=7
Expression reduces to:
5×7+10−6
Multiplication:
5×7=35
Expression reduces to:
35+10−6
Addition and Subtraction:
35+10=45
45−6=39
Therefore, the final output value is 39.
5−63+9÷10×6=?
Apply the specified sign interchanges:
Interchange + and ÷
Interchange × and −
The modified mathematical expression becomes:
5×63÷9+10−6
Now evaluate the equation using the BODMAS convention:
Division:
63÷9=7
Expression reduces to:
5×7+10−6
Multiplication:
5×7=35
Expression reduces to:
35+10−6
Addition and Subtraction:
35+10=45
45−6=39
Therefore, the final output value is 39.