Question Details

What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
712 ÷ 6 – 15 × 3 + 15 = ?

Options

A

4263

B

4262

C

4256

D

4265

Show Answer

Correct Answer :

Option B

4262

Solution :

The correct option is 4262.

To find the value that comes in place of the question mark (?), we must first perform the interchanges as specified in the problem statement:
1. Interchange '+' and '–' (so '+' becomes '–' and '–' becomes '+')
2. Interchange '×' and '÷' (so '×' becomes '÷' and '÷' becomes '×')

The original equation is:

712 ÷ 6 - 15 × 3 + 15 = ?

Applying the interchanges, the equation becomes:

712 × 6 + 15 ÷ 3 - 15 = ?

Now, we solve the interchanged equation using the standard order of operations (BODMAS rule):

Step 1: Division
First, perform the division operation:

15 ÷ 3 = 5

Substituting this back into the equation, we get:

712 × 6 + 5 - 15 = ?

Step 2: Multiplication
Next, perform the multiplication operation:

712 × 6 = 4272

Substituting this back into the equation, we get:

4272 + 5 - 15 = ?

Step 3: Addition and Subtraction
Now, perform the addition:

4272 + 5 = 4277

Finally, perform the subtraction:

4277 - 15 = 4262

Therefore, the value that replaces the question mark is 4262.

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