Question Details

Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.


256*4*9*3*14=51

Options

A

× + − ÷

B

÷ × − +

C

× ÷ + −

D

÷ − × +

Show Answer

Correct Answer :

Option D

÷ − × +

÷ − × +

Solution :

The correct answer is ÷ − × +.

We need to replace the four * signs in the equation below with the correct mathematical operators, in order, so that the equation balances to 51.

256*4*9*3*14=51

Substituting the operators ÷ − × + in sequence gives us:

256÷4-9×3+14=51

Now we evaluate this step-by-step, following the standard BODMAS/PEMDAS rule — Division and Multiplication are performed before Addition and Subtraction.

Step 1: Perform Division first.

256÷4=64

The expression becomes:

64-9×3+14

Step 2: Perform Multiplication next.

9×3=27

The expression now becomes:

64-27+14

Step 3: Perform Addition and Subtraction from left to right.

64-27=37

37+14=51

Result:

256÷4-9×3+14=51

This confirms that the correct sequence of operators is ÷ − × +.

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