In this question, relationship between different is shown in the statement. This statement is followed by three conclusion. Assume the given statement to be true and choose the answer from the given options?

Statement:
B = R < E ≥ A > K

Conclusion:
(i) B ≤ A
(ii) E > K
(iii) R < A

Appeared in: RRB Nsg. Superintendent-20 July 2019 (Shift-2)

Explanation

The question asks to identify the valid conclusion from the given statement.
The statement is B = R < E ≥ A > K.
Conclusion (ii) states E > K. From the statement, we have E ≥ A and A > K.
Combining these, we get E ≥ A > K. This definitively means that E must be greater than K.
Therefore, conclusion (ii) is the only one that logically and necessarily follows from the statement.

Option A: This option claims only conclusion (iii) follows. Conclusion (iii) is R < A. The path is R < E ≥ A. Since the inequality signs (< and ≥) are opposing, no definite relationship can be established between R and A. Therefore, this conclusion is not certain.
Option B: This option claims conclusions (i) and (ii) follow. While (ii) is correct, conclusion (i) (B ≤ A) is not. The path is B = R < E ≥ A. The opposing signs (< and ≥) mean no definite relationship can be determined between B and A.
Option C: This option claims all conclusions follow. As established, conclusions (i) and (iii) do not follow because they are based on paths with opposing inequality symbols, which prevents a definite conclusion.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Inequality as background academic context rather than a clinical decision trigger.
This question is not directly related to clinical nursing practice.
It tests logical and analytical reasoning skills, which are crucial for nurses in clinical decision-making, prioritizing patient care, and interpreting complex information.
Strong reasoning skills help nurses to quickly assess situations, connect different pieces of patient data (like vital signs and lab results), and determine the correct course of action.

How to Approach the Question

First, carefully read the main statement and break it down into individual relationships between the variables (e.g., B = R, R < E, etc.).
Next, take each conclusion one by one and trace the path between the two variables mentioned in the conclusion using the main statement.
Check the inequality symbols along the path. A definite conclusion can only be drawn if all the symbols point in the same direction (e.g., A > B > C or A < B < C).
If you encounter opposing symbols (e.g., A > B < C or A < B > C), you cannot establish a definite relationship. Mark that conclusion as 'does not follow'.
After evaluating all conclusions, select the option that correctly identifies which conclusion(s) are valid.
In this case, only the path for E > K (which is E ≥ A > K) has consistent direction, making it the only valid conclusion.

Concept Tested & Keywords

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Practise the full RRB Nsg. Superintendent-20 July 2019 (Shift-2)

Attempt every question from this paper in a timed mock, then review the full solution for each one.