What will come in the place of the question mark (?) in the following equation if '+' and '−' are interchanged and '×' and '÷' are interchanged?
73 − 27 × 9 + 5 ÷ 13 = ?
Correct Answer :
11
Solution :
The correct answer is Option 1 (11).
We are given the following equation:
According to the instructions, we need to interchange the operators as follows:
1. Interchange '+' and '−' (replace '-' with '+' and '+' with '-')
2. Interchange '×' and '÷' (replace '×' with '÷' and '÷' with '×')
After substituting these signs, the new equation becomes:
Now, we evaluate the expression using the standard BODMAS (Brakets, Orders, Division/Multiplication, Addition/Subtraction) rule:
Step 1: Perform Division
Substitute this back into the expression:
Step 2: Perform Multiplication
Substitute this back into the expression:
Step 3: Perform Addition
Now the expression is:
Step 4: Perform Subtraction
Thus, the value that replaces the question mark (?) is 11.
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