If '+' means `'xx', 'xx'` means `'-', ' div'` means `'+' and '-'` means `'div'`, then find the value of `125-5 div 15+2xx4+3`.

Options

A. 43
B. 37
C. 52
D. 42

Answer

To solve the expression \( 125 - 5 \div 15 + 2 \times 4 + 3 \) with the given operations redefined as follows:

- \( + \) means \( \times \)
- \( \times \) means \( - \)
- \( \div \) means \( + \)
- \( - \) means \( \div \)

We will follow these steps:

### Step 1: Rewrite the expression with the new meanings
The original expression is:
\[ 125 - 5 \div 15 + 2 \times 4 + 3 \]

Using the new meanings:
- \( - \) becomes \( \div \)
- \( \div \) becomes \( + \)
- \( + \) becomes \( \times \)
- \( \times \) becomes \( - \)

So, we rewrite the expression:
\[ 125 \div 5 + 15 \times 2 - 4 + 3 \]

### Step 2: Apply the order of operations (BODMAS/BIDMAS)
According to BODMAS/BIDMAS, we perform operations in the following order: Brackets, Orders (i.e., powers and roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

1. **Division**:
\[ 125 \div 5 = 25 \]
Now the expression is:
\[ 25 + 15 \times 2 - 4 + 3 \]

2. **Multiplication**:
\[ 15 \times 2 = 30 \]
Now the expression is:
\[ 25 + 30 - 4 + 3 \]

3. **Addition and Subtraction (from left to right)**:
- First, perform \( 25 + 30 \):
\[ 25 + 30 = 55 \]
- Now the expression is:
\[ 55 - 4 + 3 \]
- Next, perform \( 55 - 4 \):
\[ 55 - 4 = 51 \]
- Now the expression is:
\[ 51 + 3 \]
- Finally, perform \( 51 + 3 \):
\[ 51 + 3 = 54 \]

### Final Answer
Thus, the value of the expression \( 125 - 5 \div 15 + 2 \times 4 + 3 \) is \( 54 \).

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