What will come in place of the question mark (?) in the following equation if ‘+’ and ‘×’ are interchanged and ‘−’ and ‘÷’ are interchanged?
14 − 7 × 10 ÷ 1 + 7 = ?
Correct Answer :
5
Solution :
The correct answer is 5.
Given Equation:
Interchange Rules:
Interchange '+' and '×'
Interchange '-' and '÷'
After interchanging the mathematical operators in the equation, we get:
Now, follow the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction) to simplify the equation step-by-step:
Step 1: Perform Division
Substituting this result back into the equation gives:
Step 2: Perform Multiplication
Substituting this result back into the equation gives:
Step 3: Perform Addition
Substituting this result back into the equation gives:
Step 4: Perform Subtraction
Therefore, the value that replaces the question mark (?) in the equation is 5.
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