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

Correct Option

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

As per the definitions provided:

• $ denotes division (÷)
• @ denotes multiplication (×)
• # denotes subtraction (–)

Substituting these symbols into the expression yields: 10 – 5 × 1 ÷ 5.

Following the standard order of mathematical operations (BODMAS/PEMDAS):

1. Perform division first: 1 ÷ 5 = 1/5
2. Perform multiplication next: 5 × (1/5) = 1
3. Finally, perform subtraction: 10 – 1 = 9

Thus, the value of the expression is 9.

Incorrect Options

Options 1 (0), 2 (1), and 3 (2) are incorrect. These values do not result from the accurate application of the defined mathematical operations and the established order of precedence (BODMAS/PEMDAS) to the given expression. Errors in symbol substitution or calculation sequence would lead to these alternative outcomes.