DSSSB 6 September 2024
Reasoning
Medium
If 'A' means '+', 'B' means 'x', 'C' means '÷' and 'D' means '-', then what will come in place of question mark (?) in the following equation?
17 D 22 C 11 B 8 A 15 = ?
Appeared in: DSSSB 6 September 2024
Explanation
- The first step is to replace each letter in the equation with its assigned mathematical operator: D becomes '-', C becomes '÷', B becomes 'x', and A becomes '+'.
- The resulting equation is 17 - 22 ÷ 11 x 8 + 15.
- According to the BODMAS rule, division and multiplication must be performed before addition and subtraction.
- First, 22 ÷ 11 is calculated, which equals 2.
- Next, 2 x 8 is calculated, which equals 16.
- The equation simplifies to 17 - 16 + 15. Performing the operations from left to right gives 1 + 15, which equals 16.
Why Other Options Were Wrong
- Option A: The result 128 is incorrect. It arises from a significant miscalculation and failure to apply the BODMAS rule correctly.
- Option B: The result 135 is incorrect. This value is the result of a calculation error, likely by not following the strict order of operations defined by BODMAS.
- Option D: The result 139 is mathematically incorrect for this equation. It does not follow from any logical application of the operators, even if the BODMAS rule is ignored.
Related Visual
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Mathematical Reasoning: Order of Operations (BODMAS) as background academic context rather than a clinical decision trigger.
- While not a clinical question, this type of logical reasoning assesses foundational mathematical skills and attention to detail.
- These skills are critical for nurses in clinical practice for tasks such as calculating medication dosages, drip rates, and interpreting patient data, where accuracy is paramount for patient safety.
- What if? If the order of operations was ignored and calculated strictly from left to right, the answer would be approximately 11.36 (17-22 = -5; -5/11 = -0.45; -0.45*8 = -3.6; -3.6+15 = 11.4), which is not among the options and highlights the importance of following the established rule.
How to Approach the Question
- First, carefully read the question to identify the mapping between each letter and its corresponding mathematical operator.
- Substitute the letters in the given equation with the correct symbols to form a standard mathematical expression.
- Recall the BODMAS rule to determine the correct order of operations: Brackets, Orders, Division, Multiplication, Addition, Subtraction.
- Systematically solve the equation by performing division first, then multiplication.
- Finally, perform the remaining addition and subtraction operations from left to right to find the final answer.
- Compare your result with the given options to select the correct one.
Concept Tested & Keywords
- Concept Tested: Mathematical Reasoning: Order of Operations (BODMAS)
- Stem keywords: mathematical operations, BODMAS, equation substitution
- Lead-in keywords: what will come in place of
Question ID
Q1GVTGXFD2WVmRiWPb3ts7
Practise the full DSSSB 6 September 2024
Attempt every question from this paper in a timed mock, then review the full solution for each one.
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