For every question, four probable answers bear in letters (A), (B), (C) and (D) are given. Only one out of these is correct. You have to choose the correct answer.
Simplified value of
`118 - { 121 - (11 * 11) + 14-(9 - bar(6-2))}` is

Options

A. 11.8
B. 118
C. 1.118
D. 1.18

Answer

To solve the expression `118 - { 121 - (11 * 11) + 14 - (9 - (6 - 2))}`, we will follow the BODMAS rule (Brackets, Orders, Division and Multiplication, Addition and Subtraction). Let's break it down step by step:

### Step 1: Solve the innermost bracket
We start with the innermost bracket:
\[ 6 - 2 = 4 \]

### Step 2: Substitute back into the expression
Now we substitute this back into the expression:
\[ 118 - \{ 121 - (11 * 11) + 14 - (9 - 4) \} \]

### Step 3: Solve the next bracket
Next, we solve \( 9 - 4 \):
\[ 9 - 4 = 5 \]

### Step 4: Substitute back into the expression
Now substitute this back:
\[ 118 - \{ 121 - (11 * 11) + 14 - 5 \} \]

### Step 5: Calculate \( 11 * 11 \)
Now, calculate \( 11 * 11 \):
\[ 11 * 11 = 121 \]

### Step 6: Substitute back into the expression
Now substitute this back:
\[ 118 - \{ 121 - 121 + 14 - 5 \} \]

### Step 7: Simplify inside the curly braces
Now, simplify inside the curly braces:
\[ 121 - 121 = 0 \]
So we have:
\[ 0 + 14 - 5 = 14 - 5 = 9 \]

### Step 8: Substitute back into the expression
Now substitute this back:
\[ 118 - 9 \]

### Step 9: Final subtraction
Finally, perform the subtraction:
\[ 118 - 9 = 109 \]

Thus, the simplified value of the expression is:
\[ \boxed{109} \]

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