If '`larr`' stands for '+', '`to`' stands for '-', '`uarr`' stands for '`div`', '`darr`' , stands for 'x', '`wedge`' stands for '=', then which of the following alternatives is correct?
A. `3 darr 6 uarr 2 larr 3 rarr 6 wedge 5`
B. `2 darr 5 rarr 6 larr2 wedge6`
C. `7 rarr43 darr 6 darr 1 wedge 4`
D. `5 larr7 rarr 3 uarr 2 wedge 4`

Options

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

Answer

To solve the question, we need to decode the symbols according to their meanings and evaluate each option step by step.

### Step-by-Step Solution:

1. **Understanding the Symbols**:
- `larr` = `+`
- `to` = `-`
- `uarr` = `div`
- `darr` = `x`
- `wedge` = `=`

2. **Evaluating Each Option**:

**Option A**: `3 darr 6 uarr 2 larr 3 to 6 wedge 5`
- Convert symbols: `3 x 6 div 2 + 3 - 6 = 5`
- Calculate:
- First, `3 x 6 = 18`
- Then, `18 div 2 = 9`
- Next, `9 + 3 = 12`
- Finally, `12 - 6 = 6`
- Result: `6` (not equal to `5`)

**Option B**: `2 darr 5 rarr 6 larr 2 wedge 6`
- Convert symbols: `2 x 5 - 6 + 2 = 6`
- Calculate:
- First, `2 x 5 = 10`
- Then, `10 - 6 = 4`
- Next, `4 + 2 = 6`
- Result: `6` (equal to `6`)

**Option C**: `7 rarr 43 darr 6 darr 1 wedge 4`
- Convert symbols: `7 - 43 x 6 x 1 = 4`
- Calculate:
- First, `43 x 6 = 258`
- Then, `7 - 258 = -251`
- Finally, `-251 x 1 = -251`
- Result: `-251` (not equal to `4`)

**Option D**: `5 larr 7 rarr 3 uarr 2 wedge 4`
- Convert symbols: `5 + 7 - 3 div 2 = 4`
- Calculate:
- First, `5 + 7 = 12`
- Then, `12 - 3 = 9`
- Finally, `9 div 2 = 4.5`
- Result: `4.5` (not equal to `4`)

3. **Conclusion**:
- The only option that is correct is **Option B**.