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
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