DSSSB 13 August 2024
Reasoning
Hard

If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '÷' and 'D' stands for '-' , then the resultant of which of the following would be 136? (Note: OCR error in question, assuming A=+, B=x, C=÷, D=- based on solution)

Appeared in: DSSSB 13 August 2024

Explanation

  • The question requires substituting letters with mathematical operators and solving the expression.
  • An OCR error is noted; the correct mapping is A = +, B = ×, C = ÷, D = -.
  • The expression must be solved using the BODMAS rule (Division, Multiplication, Addition, Subtraction).
  • Substituting the operators into the first option gives: 64 ÷ 16 – 30 + 18 × 9.
  • Following BODMAS: 4 – 30 + 162 = 136.

Why Other Options Were Wrong

  • Option B: Substituting the operators gives 64 + 16 – 30 ÷ 18 × 9. Following BODMAS, the calculation is 64 + 16 – (1.66... × 9) = 80 – 15 = 65.
  • Option C: Substituting the operators gives 64 × 16 – 30 ÷ 18 + 9. Following BODMAS, the calculation is 1024 – 1.66... + 9 = 1031.33.
  • Option D: Substituting the operators gives 64 + 16 × 30 ÷ 18 – 9. Following BODMAS, the calculation is 64 + (480 ÷ 18) – 9 = 64 + 26.66... – 9 = 81.66.

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 Mathematical Reasoning using BODMAS as background academic context rather than a clinical decision trigger.
  • While this is a general intelligence question, the underlying principle of following a strict order of operations is critical in nursing.
  • Nurses must perform calculations for medication dosages, IV drip rates, and fluid balances. An error in the sequence of calculation can lead to incorrect dosages, posing a significant risk to patient safety.
  • For example, when calculating a complex multi-drug infusion, the order in which concentrations and rates are calculated matters.
How to Approach the Question
  • First, carefully read the question to understand the assigned value for each letter. Note any potential errors or corrections provided.
  • In this case, acknowledge the OCR error and use the corrected mapping: A = +, B = ×, C = ÷, D = -.
  • Systematically substitute these operators into each of the four given options.
  • Apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction) to evaluate each expression.
  • Perform division and multiplication first (from left to right), followed by addition and subtraction (from left to right).
  • The option that evaluates to the target number, 136, is the correct answer.
Concept Tested & Keywords
  • Concept Tested: Mathematical Reasoning using BODMAS
  • Stem keywords: Mathematical operations, BODMAS, Logical Substitution
  • Lead-in keywords: resultant, would be 136

Question ID

QKMZg8Ytz5pYJSdnNs8_nR

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