$$ 36 - [18 - \{14 - (15 - 4 \div 2 \times 2)\}] $$
To solve the mathematical expression $36 - [18 - \{14 - (15 - 4 \div 2 \times 2)\}]$, we follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step 1: Innermost Parentheses Calculation
First, evaluate the expression inside the innermost parentheses $(15 - 4 \div 2 \times 2)$.
- Perform division: $4 \div 2 = 2$.
- Perform multiplication: $2 \times 2 = 4$.
- Perform subtraction: $15 - 4 = 11$.
The expression now becomes: $36 - [18 - \{14 - 11\}]$.
Step 2: Curly Brackets Calculation
Next, evaluate the expression inside the curly brackets $\{14 - 11\}$.
- Perform subtraction: $14 - 11 = 3$.
The expression simplifies to: $36 - [18 - 3]$.
Step 3: Square Brackets Calculation
Now, evaluate the expression inside the square brackets $[18 - 3]$.
- Perform subtraction: $18 - 3 = 15$.
The expression is further simplified to: $36 - 15$.
Step 4: Final Calculation
Finally, perform the remaining subtraction.
- Perform subtraction: $36 - 15 = 21$.
The result of the mathematical expression is $21$. This corresponds to Option C.
Similar Questions
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Important Questions from Bodmas Rule
If 2945 ÷ 19 – 11 × 5 = 29 + a, find the value of a.
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What will come in the place of question mark (?) in the given expression?
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