What will come in place of the question mark (?) when + and − are interchanged and 5 and 18 are also interchanged?
5 − 18 + 12 = ?
Correct Answer :
11
Solution :
The correct answer is Option 4: 11.
To solve this problem, we need to interchange the specified mathematical operators and numbers in the given equation and then calculate the result step-by-step using standard order of operations (BODMAS/PEMDAS).
Step 1: Identify the given equation and changes required
Original equation:
5 − 18 + 12 = ?
Interchanges to perform:
• Swap the operators '+' and '−'
• Swap the numbers 5 and 18
Step 2: Apply the interchanges to the equation
• Replace 5 with 18
• Replace '−' with '+'
• Replace 18 with 5
• Replace '+' with '−'
• The number 12 remains unchanged
After applying these changes, the new equation becomes:
Step 3: Perform the calculations
First, add 18 and 5:
Next, subtract 12 from 23:
Thus, the value that replaces the question mark (?) is 11.
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