DSSSB 14 August 2024
Reasoning
Hard

If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+' and 'D' stands for '–', what will come in place of the question mark (?) in the following equation? $$27 \text{ A } 9 \text{ D } 35 \text{ C } 11 \text{ B } 6 = ?$$

Appeared in: DSSSB 14 August 2024

Explanation

  • The core task is to replace the letters in the equation with their assigned mathematical operators.
  • After substitution, the equation becomes: 27 ÷ 9 – 35 + 11 × 6.
  • Following the BODMAS rule, division (27 ÷ 9 = 3) and multiplication (11 × 6 = 66) are performed first.
  • The simplified equation is 3 – 35 + 66.
  • Performing the final addition and subtraction from left to right (3 - 35 = -32, then -32 + 66) yields the correct answer, 34.

Why Other Options Were Wrong

  • Option A: The value 38 is incorrect. This result might be obtained through a calculation error or by not following the BODMAS rule in the correct sequence.
  • Option C: The value 28 is incorrect. This result could be obtained by incorrectly processing the signs, for example, by calculating 66 – 3 – 35, which equals 28, instead of the correct sequence 3 – 35 + 66.
  • Option D: The value 36 is incorrect. This is a plausible distractor resulting from a minor miscalculation in the final addition or subtraction step, such as calculating 69 – 33 instead of 69 – 35.

Related Visual

Visual explanation — Related Visual
Clinical Relevance
  • Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain This question tests the ability to solve a mathematical expression by substituting symbols and applying the correct order of operations (BODMAS) as background academic context rather than a clinical decision trigger.
  • This is a general aptitude and reasoning question, not directly related to clinical nursing practice.
  • However, strong numerical and logical reasoning skills are essential for nurses in tasks like medication dosage calculation, interpreting lab results, and managing patient data, where precision is critical.
  • What if? If the question involved calculating a medication dosage, applying the order of operations incorrectly could lead to a serious medication error, highlighting the importance of mathematical accuracy in nursing.
How to Approach the Question
  • First, carefully read the question to understand the substitution rule for each letter (A=÷, B=×, C=+, D=–).
  • Rewrite the entire mathematical expression, replacing each letter with its corresponding operator: 27 ÷ 9 – 35 + 11 × 6.
  • Recall the BODMAS/PEMDAS rule for the order of operations.
  • Systematically solve the expression by performing division and multiplication first, from left to right.
  • Then, perform the addition and subtraction, also moving from left to right.
  • Double-check your calculations to ensure accuracy before selecting the final answer from the options.
Concept Tested & Keywords
  • Concept Tested: This question tests the ability to solve a mathematical expression by substituting symbols and applying the correct order of operations (BODMAS).
  • Stem keywords: A stands for ÷, B stands for ×, C stands for +, D stands for –, equation
  • Lead-in keywords: what will come in place of

Question ID

QjX8wZidbjSJsA2xPBgFYM

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Attempt every question from this paper in a timed mock, then review the full solution for each one.

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If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+' and 'D' stands for '–', what will come in place… - DSSSB 14 August 2024 | NPrep