What will come in the place of ‘?’ in the following equation, if ‘÷’ and ‘–‘ are interchanged and ‘×’ and ‘+’ are interchanged?
Correct Answer :
24
Solution :
To find the value that comes in place of the question mark (?), we need to modify the given mathematical expression based on the specified interchanges of operators, and then evaluate the expression using the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction).
The original equation is:
According to the instructions:
1. Interchange the division () and subtraction () signs.
2. Interchange the multiplication () and addition () signs.
Applying these interchanges to the original expression:
- The first operator becomes .
- The second operator becomes .
- The third operator becomes .
- The fourth operator becomes .
Thus, the new equation is:
Now, we evaluate this expression using the BODMAS rule, which prioritizes division and multiplication before addition and subtraction.
Step 1: Perform the Division
We divide 18 by 3:
Substitute this back into the equation:
Step 2: Perform the Multiplication
We multiply 7 by 4:
Substitute this back into the equation:
Step 3: Perform the Addition and Subtraction
We perform the calculations from left to right:
First, subtract 6 from 28:
Next, add 2 to 22:
Therefore, the value that comes in place of '?' is 24.
The correct answer is 24.
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