Question Details

What will come in place of the question mark (?) when + and − are interchanged and 8 and 6 are also interchanged?
8 − 6 + 10 =?

Options

A

7

B

4

C

6

D

5

Show Answer

Correct Answer :

Option B

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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