SGPGI Nursing Officer-2024
Reasoning
Hard
If + means divide, x means minus, - means multiply and / means plus, then find the value of 9+(3×4)−(8÷2)
Appeared in: SGPGI Nursing Officer-2024
Explanation
- This question presents a common ambiguity in reasoning tests where applying the stated rules for symbol substitution does not lead to any of the provided answers.
- The intended method is to ignore the substitution rules and evaluate the expression
9 + (3 × 4) − (8 ÷ 2)using the standard order of operations (BODMAS). - First, solve the expressions within the brackets:
(3 × 4) = 12and(8 ÷ 2) = 4. - The expression then simplifies to
9 + 12 - 4. - Finally, perform the addition and subtraction from left to right:
9 + 12 = 21, and21 - 4 = 17.
Why Other Options Were Wrong
- Option A: The value 21 is an intermediate result obtained after solving the brackets and performing the addition (
9 + 12), but before completing the final subtraction step. - Option B: The value 19 is not derivable from any standard or common miscalculation of the given expression. It serves as a plausible but incorrect numerical distractor.
- Option D: The value 18 is not derivable from any standard or common miscalculation of the given expression. It is an incorrect numerical distractor.
Related Visual
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Mathematical Reasoning with Symbol Substitution as background academic context rather than a clinical decision trigger.
- While not a clinical question, it tests logical and mathematical reasoning, which are crucial skills for nurses.
- Accurate calculation abilities are fundamental for safe nursing practice, including medication dosage calculation, IV drip rate monitoring, and interpreting patient data.
- This type of problem-solving enhances critical thinking, helping nurses make sound judgments in complex clinical scenarios.
How to Approach the Question
- First, carefully read the problem and identify the given substitutions for each mathematical operator.
- Attempt to solve the problem by rewriting the expression with the new operators:
9 / (3 - 4) * (8 + 2). - Calculate the result using the order of operations (BODMAS). This gives -90.
- Compare your result with the given options. Notice that -90 is not an option.
- Recognize that this indicates a likely flaw in the question. The intended solution is probably to ignore the substitution rules.
- Solve the original expression
9 + (3 × 4) − (8 ÷ 2)using standard BODMAS rules.
Concept Tested & Keywords
- Concept Tested: Mathematical Reasoning with Symbol Substitution
- Stem keywords: mathematical reasoning, symbol substitution, BODMAS, order of operations
- Lead-in keywords: find the value
Question ID
QXWbQjSwafx8J6PGF_M5T6
Practise the full SGPGI Nursing Officer-2024
Attempt every question from this paper in a timed mock, then review the full solution for each one.
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