If 'x' mean '-' , '-' means 'x' , '+' means `'div'` and `'div'` mean '+' then what will be the value for `15 - 2 div 900 +90 x 100` ?
A. 60
B. `- 60`
C. 0
D. 1

Options

A. B
B. A
C. C
D. D

Answer

To solve the expression `15 - 2 div 900 + 90 x 100` with the given substitutions, we will follow these steps:

1. **Identify the substitutions**:
- `x` means `-` (multiplication becomes subtraction)
- `-` means `x` (subtraction becomes multiplication)
- `+` means `div` (addition becomes division)
- `div` means `+` (division becomes addition)

2. **Rewrite the expression using the substitutions**:
- Original expression: `15 - 2 div 900 + 90 x 100`
- Applying substitutions:
- `15 - 2` becomes `15 x 2`
- `div 900` becomes `+ 900`
- `+ 90` becomes `div 90`
- `x 100` becomes `- 100`
- So, the rewritten expression is: `15 x 2 + 900 div 90 - 100`

3. **Evaluate the expression using the order of operations (BODMAS/BIDMAS)**:
- According to BODMAS, we first perform division and multiplication from left to right:
- Calculate `900 div 90` which is `900 + 90` = `990`
- Now we have: `15 x 2 + 990 - 100`
- Next, calculate `15 x 2` which is `30`
- Now we have: `30 + 990 - 100`

4. **Continue evaluating**:
- Now perform the addition: `30 + 990` = `1020`
- Finally, perform the subtraction: `1020 - 100` = `920`

5. **Final value**:
- The final value of the expression is `920`.