UPSC Prelims 2019·CSAT·Logical Reasoning·Coding Decoding

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

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Last updated 23 May 2026, 3:31 pm IST
  1. A0
  2. B1
  3. C2
  4. D9Correct

Explanation

The problem requires substituting given symbols with mathematical operations and then evaluating the expression following the order of operations (BODMAS/PEMDAS). 1. Identify the symbol meanings: $ means 'divided by' (/) @ means 'multiplied by' (*) # means 'minus' (-) 2. Substitute these operations into the given expression: 10 # 5 @ 1 $ 5 becomes 10 - 5 * 1 / 5 3. Evaluate the expression following BODMAS/PEMDAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction). Multiplication and Division have equal precedence and are performed from left to right before Subtraction. First, perform multiplication: 5 * 1 = 5 The expression becomes: 10 - 5 / 5 Next, perform division: 5 / 5 = 1 The expression becomes: 10 - 1 Finally, perform subtraction: 10 - 1 = 9 4. Compare the result with the options: The calculated value is 9, which matches option D. Therefore, the value of 10#5@1$5 is 9. The final answer is D.
Logical Reasoning: If $ means 'divided by'; @ means 'multiplied by'; # means 'minus', then the value of 10#5@1$5 is

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