ESIC Nursing Officer - 2019 (Shift-2)
Reasoning
Medium
If L represents +, M represents −, N represents ×, and P represents ÷, then what will be the result of the following expression?
80 N 2 L 180 P 60 M 40
Appeared in: ESIC Nursing Officer - 2019 (Shift-2)
Explanation
- The problem requires substituting letters with mathematical operators and then solving the expression using the BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) rule.
- Substituting the letters gives: 80 × 2 + 180 ÷ 60 − 40.
- Following BODMAS, first perform multiplication (80 × 2 = 160) and division (180 ÷ 60 = 3).
- The expression simplifies to 160 + 3 − 40.
- Finally, perform addition (160 + 3 = 163) and subtraction (163 − 40 = 123) to get the final answer.
Why Other Options Were Wrong
- Option A: This result likely stems from an error in the order of operations, possibly by performing subtraction before addition in the final step incorrectly.
- Option B: This is an intermediate result obtained after performing addition (160 + 3 = 163) but before performing the final subtraction of 40. The calculation is incomplete.
- Option D: This result does not follow from any logical application of the BODMAS rule and suggests a significant miscalculation or misunderstanding of the operators.
Related Visual
- Visual 1: Infographic: A flowchart illustrating the BODMAS/PEMDAS order of operations, showing the hierarchy from Brackets/Parentheses down to Addition/Subtraction.
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Mathematical Reasoning and Order of Operations (BODMAS) as background academic context rather than a clinical decision trigger.
- While not a direct clinical skill, logical reasoning and meticulous, step-by-step problem-solving are crucial for nurses in tasks like medication dosage calculation, interpreting lab results, and following complex care protocols.
- What if the expression was 80 N (2 L 180) P 60 M 40? The parentheses would be solved first (2 + 180 = 182), changing the entire calculation: 80 × 182 ÷ 60 - 40, leading to a completely different result (202.67).
How to Approach the Question
- Identify the task: The question asks to evaluate a mathematical expression where operators are coded as letters.
- Decode the expression: Systematically replace each letter (N, L, P, M) with its given mathematical symbol (×, +, ÷, −).
- Recall the order of operations: Remember the BODMAS/PEMDAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction).
- Apply BODMAS: Perform the calculations in the correct sequence. First, solve all multiplication and division from left to right. Then, solve all addition and subtraction from left to right.
- Calculate the final result and match it with the given options.
Concept Tested & Keywords
- Concept Tested: Mathematical Reasoning and Order of Operations (BODMAS)
- Stem keywords: mathematical expression, L represents +, M represents −, N represents ×, P represents ÷
- Lead-in keywords: what will be the result
- Negative lead-in flag: false
Question ID
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Practise the full ESIC Nursing Officer - 2019 (Shift-2)
Attempt every question from this paper in a timed mock, then review the full solution for each one.
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