What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
712 ÷ 6 – 15 × 3 + 15 = ?
Correct Answer :
4262
Solution :
The correct option is 4262.
To find the value that comes in place of the question mark (?), we must first perform the interchanges as specified in the problem statement:
1. Interchange '+' and '–' (so '+' becomes '–' and '–' becomes '+')
2. Interchange '×' and '÷' (so '×' becomes '÷' and '÷' becomes '×')
The original equation is:
Applying the interchanges, the equation becomes:
Now, we solve the interchanged equation using the standard order of operations (BODMAS rule):
Step 1: Division
First, perform the division operation:
Substituting this back into the equation, we get:
Step 2: Multiplication
Next, perform the multiplication operation:
Substituting this back into the equation, we get:
Step 3: Addition and Subtraction
Now, perform the addition:
Finally, perform the subtraction:
Therefore, the value that replaces the question mark is 4262.
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