What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–‘ are interchanged and ‘×’ and ‘÷’ are interchanged?
Correct Answer :
33
Solution :
The correct option is 33.
To find the value that comes in place of '?', we need to follow the interchanging instructions given in the question:
- Interchange '+' and '–' (replace '+' with '–' and vice versa)
- Interchange '×' and '÷' (replace '×' with '÷' and vice versa)
The original equation is:
Applying the interchanges, the new equation becomes:
Now, we solve this mathematical expression step-by-step using the BODMAS rule (Division, Multiplication, Addition, Subtraction):
Step 1: Division
First, perform the division operation ():
Substitute this back into the equation:
Step 2: Multiplication
Next, perform the multiplication operation ():
Substitute this back into the equation:
Step 3: Addition
Now, perform the addition operation ():
Substitute this back into the equation:
Step 4: Subtraction
Finally, perform the subtraction operation ():
Therefore, the value in place of '?' is 33.
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