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 8 Jul 2026, 4:39 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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