NHM UP Staff Nurse-2021 Shift-2nd
Reasoning
Hard
If A means '+', B means '-', C means 'x', then find the value of following equation. 46 A 2 B 3 C 4=?
Appeared in: NHM UP Staff Nurse-2021 Shift-2nd
Explanation
- The problem requires substituting given mathematical operators for letters in an expression.
- The core concept is to apply the BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) rule to solve the expression correctly.
- First, substitute the operators: 46 + 2 - 3 x 4.
- Following BODMAS, perform multiplication first: 3 x 4 = 12. The expression becomes 46 + 2 - 12.
- Next, perform addition: 46 + 2 = 48. The expression becomes 48 - 12.
- Finally, perform subtraction: 48 - 12 = 36.
Why Other Options Were Wrong
- Option B: The value 23 is incorrect. It might be obtained by only performing the first operation (46 + 2 = 48, which is not 23) or perhaps by misinterpreting 'A' as division (46 ÷ 2 = 23) and then ignoring the rest of the equation. This indicates a failure to follow the full set of instructions.
- Option C: The value 17 is incorrect. It results from not following the BODMAS rule, likely by performing operations in a random or strictly left-to-right order without prioritizing multiplication.
- Option D: The value 11 is a common distractor in such problems. It is obtained if one incorrectly assumes 'A' stands for division (÷) instead of addition (+). In that case, the calculation would be 46 ÷ 2 - 3 x 4 = 23 - 12 = 11. However, the question explicitly states A means '+'.
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 understanding of mathematical reasoning and the application of the order of operations (BODMAS/PEMDAS) as background academic context rather than a clinical decision trigger.
- While this is a general reasoning question, the underlying skills are crucial in nursing. Nurses must be precise and methodical, especially in high-stakes tasks like medication dosage calculation.
- Accuracy in following a sequence of steps (like BODMAS) is analogous to following a clinical protocol or a drug administration checklist, where skipping or reordering steps can lead to errors.
- What if? If the BODMAS rule was ignored and the calculation was done from left to right (46 + 2 = 48; 48 - 3 = 45; 45 x 4 = 180), the result would be drastically different and incorrect, highlighting the importance of standardized procedures in achieving correct outcomes.
How to Approach the Question
- First, carefully read the question to identify the mapping between each letter and its corresponding mathematical operator.
- Replace each letter in the given expression with the assigned operator to form a standard mathematical equation.
- Recall the 'BODMAS' or 'PEMDAS' rule to determine the correct order of operations: Brackets/Parentheses, Orders/Exponents, Division/Multiplication (left-to-right), Addition/Subtraction (left-to-right).
- Apply the rule step-by-step to the substituted equation. In this case, perform the multiplication first.
- Proceed with the remaining operations (addition and subtraction) from left to right.
- Compare your final calculated result with the given options to find the correct answer.
Concept Tested & Keywords
- Concept Tested: This question tests the understanding of mathematical reasoning and the application of the order of operations (BODMAS/PEMDAS).
- Stem keywords: A means +, B means -, C means x, 46 A 2 B 3 C 4
- Lead-in keywords: find the value
Question ID
Qit9zMvDwBbDuuGtAa3GmT
Practise the full NHM UP Staff Nurse-2021 Shift-2nd
Attempt every question from this paper in a timed mock, then review the full solution for each one.
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