Answer

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**Hint:**Here in this question, we have to simplify the given terms. The question contains more than one arithmetic operation so we use the BODMAS rule. It is abbreviated as Brackets Of Division Multiplication Addition Subtraction. By applying the rule, we obtain the result.

**Complete step by step answer:**

Generally, we have 4 types of arithmetic operations namely.

Addition (+) which adds the numbers.

Subtraction (-) which subtracts the numbers.

Multiplication (\[ \times \]) which multiplies the numbers.

Division (\[ \div \]) which divides the numbers.

To solve the above question, we follow the BODMAS rule and it is abbreviated as Brackets Of Division Multiplication Addition Subtraction. Here “of” signifies the operation multiplication. If we have “of” in the question we have to multiply, so any sums on simplification must be solved in that order.

We have to know about the sign conventions

\[ + \,\, \times \,\, + \,\, = \,\, + \]

\[\Rightarrow - \,\, \times \,\, - \,\, = \,\, + \]

\[\Rightarrow + \,\, \times \,\, - \,\, = \,\, - \]

\[\Rightarrow - \,\, \times \,\, + \,\, = \,\, - \]

Now we consider the given question

\[3 + 3 \times 3 - 3 + 3\]

First, perform the multiplication operation \[\left( {3 \times 3 = 9} \right)\], then we get

\[ \Rightarrow 3 + 9 - 3 + 3\]

On addition of the number \[\left( {9 + 3 + 3 = 15} \right)\], we have

\[15 - 3\]

On subtracting the number 3 from 15, we have

\[ 12\]

Hence, the value of \[3 + 3 \times 3 - 3 + 3\] equals \[12\].

**Therefore, option B is the correct answer.**

**Note:**The knowledge of arithmetic operations and tables of multiplication plays an important role in solving these types of questions. BODMAS rule is applied where the question involves more than one arithmetic operation. If we simplify randomly we don’t obtain the correct solution.

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