UP NHM CHO 7 Sept 2022 (Shift-2)
Reasoning
Hard
If '-' = ÷, '+' = ×, '×' = +, '÷' = -, Evaluate: 15 - 5 + 5 × 5 ÷ 5
Appeared in: UP NHM CHO 7 Sept 2022 (Shift-2)
Explanation
- The problem requires a two-step process: first, substitute the mathematical operators as per the given rules, and second, solve the resulting expression using the BODMAS rule.
- Original expression:
15 - 5 + 5 × 5 ÷ 5. - After substituting the symbols (
-becomes÷,+becomes×,×becomes+,÷becomes-), the new expression is:15 ÷ 5 × 5 + 5 - 5. - Applying BODMAS (Division, then Multiplication, then Addition, then Subtraction):
(15 ÷ 5) × 5 + 5 - 5becomes3 × 5 + 5 - 5. - Next,
15 + 5 - 5becomes20 - 5. - Finally,
20 - 5equals15.
Why Other Options Were Wrong
- Option A: This result is likely due to a significant miscalculation or incorrect application of the substitution rules and BODMAS.
- Option B: This result might occur if the order of operations is not followed correctly. For example, performing addition before multiplication after substitution.
- Option C: This result might be obtained by incorrectly cancelling out terms, for example,
(15 ÷ 5 × 5) + (5 - 5)and then miscalculating3 × 5as 0.
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 and Order of Operations (BODMAS) as background academic context rather than a clinical decision trigger.
- While this is not a direct clinical question, the skills tested—logical reasoning, attention to detail, and following a precise order of operations—are fundamental to safe nursing practice.
- These skills are directly transferable to critical tasks like medication dosage calculation, where applying formulas correctly (like using BODMAS) is essential to prevent life-threatening errors.
- Accurate interpretation of instructions and protocols, similar to the symbol substitution rules in this question, is a daily requirement for nurses.
How to Approach the Question
- First, carefully read the question and identify the specific rules for substituting the mathematical symbols.
- Rewrite the entire expression on your scratchpad, replacing each original operator (
-,+,×,÷) with its new, corresponding operator. - Once you have the new expression, recall the BODMAS/PEMDAS rule for the correct order of operations (Brackets, Orders, Division/Multiplication, Addition/Subtraction).
- Systematically solve the new expression. Perform all division and multiplication operations first, moving from left to right.
- After completing multiplication and division, perform all addition and subtraction operations, again moving from left to right.
- Compare your final calculated result with the given options to select the correct answer.
Concept Tested & Keywords
- Concept Tested: Mathematical Reasoning with Symbol Substitution and Order of Operations (BODMAS)
- Stem keywords: Evaluate, symbol substitution, mathematical expression
- Lead-in keywords: Evaluate
- Negative lead-in flag: false
Question ID
QKVzHPPyWk0pleA1tpQViX
Practise the full UP NHM CHO 7 Sept 2022 (Shift-2)
Attempt every question from this paper in a timed mock, then review the full solution for each one.
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