SGPGI Nursing Officer-2023
Reasoning
Hard
Which two signs in the following equation need to be interchanged so that the equation will be mathematically correct? 4 + 3 × 4 = 48
Appeared in: SGPGI Nursing Officer-2023
Explanation
- The original equation
4 + 3 × 4evaluates to4 + 12 = 16according to the standard order of operations (BODMAS). - The target result is 48. To achieve this, the operations need to be modified.
- By replacing the addition sign (+) with a multiplication sign (×), the expression becomes
4 × 3 × 4. - This new expression evaluates to
12 × 4 = 48, which makes the equation mathematically correct.
Why Other Options Were Wrong
- Option A: Replacing '+' with '-' would give
4 - 3 × 4, which equals4 - 12 = -8. This is not the required result of 48. - Option B: The original equation does not contain a minus sign (-), so it cannot be interchanged with the plus sign (+).
- Option D: Interchanging '×' with '×' results in no change to the equation. The expression remains
4 + 3 × 4, which equals 16, not 48.
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 logical and mathematical reasoning, specifically the application of the order of operations (BODMAS/PEMDAS) to solve equations as background academic context rather than a clinical decision trigger.
- While not a clinical question, this type of logical reasoning problem is a component of the General Intelligence section in nursing entrance exams.
- Strong reasoning and problem-solving skills are essential for nurses in clinical practice for tasks like dosage calculation, interpreting lab results, and making critical decisions under pressure.
- What if the equation was
24 ÷ 4 + 2 = 8? Here, no interchange is needed as(24 ÷ 4) + 2 = 6 + 2 = 8. It's crucial to always check the original equation first.
How to Approach the Question
- First, carefully read the equation and the target result.
- Apply the BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) rule to calculate the result of the given equation as it is.
- Compare your calculated result with the target result to confirm the equation is incorrect.
- Systematically test each option provided. For each option, make the suggested change to the signs in the equation.
- Recalculate the value of the modified equation using the BODMAS rule.
- The correct option is the one that makes the equation's result match the target value.
Concept Tested & Keywords
- Concept Tested: This question tests logical and mathematical reasoning, specifically the application of the order of operations (BODMAS/PEMDAS) to solve equations.
- Stem keywords: equation, interchanged, mathematically correct
- Lead-in keywords: Which two signs
Question ID
Q-WQnamreBnojqPUXhpAtN
Practise the full SGPGI Nursing Officer-2023
Attempt every question from this paper in a timed mock, then review the full solution for each one.
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