What will come in place of the question mark (?) when + and − are interchanged and 8 and 6 are also interchanged?
8 − 6 + 10 =?
Correct Answer :
4
Solution :
The correct answer/option is 4.
Let us break down the problem step-by-step to find the value that comes in place of the question mark (?):
We are given the original mathematical expression:
8 - 6 + 10 = ?
According to the instructions, we need to perform two sets of interchanges:
1. Interchange the signs + and -:
Every occurrence of "+" becomes "-" and every occurrence of "-" becomes "+".
2. Interchange the numbers 8 and 6:
Every occurrence of "8" becomes "6" and every occurrence of "6" becomes "8".
Let us apply these changes step-by-step to the original expression:
The original expression starts with 8, which is interchanged to 6.
The original sign is -, which is interchanged to +.
The original number 6 is interchanged to 8.
The original sign is +, which is interchanged to -.
The number 10 remains unchanged as it is not part of the interchange rules.
Thus, the new expression after making these changes is:
6 + 8 - 10 = ?
Now, we evaluate this expression using standard rules of arithmetic operators:
First, perform the addition:
6 + 8 = 14
Next, perform the subtraction:
14 - 10 = 4
Therefore, the value that comes in place of the question mark is 4.
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