Question Details

Find the two signs to be interchanged for making the following equation correct.
6 + 3 × 8 − 12 ÷ 4 = 4

Options

A

÷ and −

B

+ and ÷

C

− and +

D

÷ and ×

Show Answer

Correct Answer :

Option A

÷ and −

Solution :

To find the two signs that need to be interchanged to make the equation correct, we begin with the given equation:

6+3×8-12÷4=4

Let's test the interchange of the division symbol (÷) and the subtraction symbol (-).

After interchanging ÷ and -, the equation becomes:

6+3×8÷12-4=4

Now, we simplify the Left-Hand Side (LHS) of the equation using the BODMAS rule (Division and Multiplication first, followed by Addition and Subtraction):

Step 1: Simplify the multiplication and division terms from left to right:
3×8÷12=24÷12=2

Substitute this back into the expression:
6+2-4

Step 2: Perform the addition:
6+2=8

Step 3: Perform the subtraction:
8-4=4

Since the LHS equals the Right-Hand Side (RHS), the equation is now balanced and correct.

Therefore, the two signs that must be interchanged are ÷ and -.

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