If $ means ‘divided by’; @ means ‘multiplied by’; # means ‘minus’, then the value of 10#5@1$5 is

The correct option is 9.

To find the value of the given expression, we first need to substitute the mathematical operators in place of the symbols as defined in the question:
- # means 'minus' (-)
- @ means 'multiplied by' (*)
- $ means 'divided by' (/)

The given expression is:
10#5@1$5

Substituting the symbols with their corresponding mathematical operators, the expression becomes:
$10-5\times 1÷5$

Now, we apply the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction) to evaluate the expression.

Step 1: Perform Division
First, we calculate the division part: $1÷5$ (or $\frac{1}{5}$).
The expression becomes:
$10-5\times \left(\frac{1}{5}\right)$

Step 2: Perform Multiplication
Next, we calculate the multiplication part: $5\times \frac{1}{5}$.
$5\times \frac{1}{5}=1$
The expression now simplifies to:
$10-1$

Step 3: Perform Subtraction
Finally, we perform the subtraction:
$10-1=9$

Therefore, the value of the expression is 9, which matches the correct option.