AIIMS Raipur NO - 2019 (Shift-2)
Reasoning
Hard
Direction:-If+is x, x is / and /is-, then answer the following question based on this information: 21/8+2-12×3=?
Appeared in: AIIMS Raipur NO - 2019 (Shift-2)
Explanation
- The core of this problem is to first substitute the mathematical operators as per the given directions and then solve the resulting expression using the BODMAS rule.
- The given expression is
21 / 8 + 2 - 12 x 3. - After replacing
/with-,+withx,xwith/, and assuming-is replaced with+, the new expression becomes21 - 8 x 2 + 12 / 3. - Following BODMAS, we first perform division (12 / 3 = 4) and multiplication (8 x 2 = 16).
- The expression simplifies to
21 - 16 + 4. - Finally, performing subtraction and addition from left to right gives
5 + 4 = 9.
Why Other Options Were Wrong
- Option A: This is an incorrect result, likely obtained by not following the BODMAS rule for the order of operations or making a calculation error after substituting the symbols.
- Option C: This result is incorrect. It may arise from performing operations from left to right without adhering to the BODMAS hierarchy, leading to an erroneous calculation.
- Option D: This is an incorrect answer. Such a result typically stems from a mistake in calculation or an incorrect application of the BODMAS rule after the operators have been substituted.
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 Operator Substitution as background academic context rather than a clinical decision trigger.
- Logical and mathematical reasoning skills are tested in nursing entrance exams to assess a candidate's general aptitude and problem-solving abilities.
- These skills are transferable to clinical practice for tasks like calculating drug dosages, interpreting lab results, and making quick, logical decisions under pressure.
- What if the rule for '-' was not specified and not assumed to be '+'? The problem would be unsolvable as stated, highlighting the importance of identifying all parameters in a problem before attempting a solution.
How to Approach the Question
- First, carefully read the directions and identify all the operator substitutions. Note if any substitutions are missing and make a logical assumption if necessary (e.g., completing a cycle).
- Write down the original mathematical expression given in the question.
- Systematically replace each operator in the original expression with its new counterpart according to the rules.
- Once you have the new expression, apply the BODMAS/PEMDAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction) to solve it correctly.
- Perform the calculations in the correct order: first division and multiplication (from left to right), then addition and subtraction (from left to right).
- Compare your final result with the given options to find the correct answer.
Concept Tested & Keywords
- Concept Tested: Mathematical Reasoning with Operator Substitution
- Stem keywords: mathematical reasoning, operator substitution, BODMAS
- Lead-in keywords: answer the following question
- Negative lead-in flag: false
Question ID
Q2ccj30ySwBzeVBEgqLq4R
Practise the full AIIMS Raipur NO - 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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