दिए गए कथन (नों) और निष्कर्षों को ध्यान से पढ़ें और चुनें किसे कौनसा निष्कर्ष, तार्किक रूप से कथन का पालन करता है।

कथनः

1. सभी नींबू आम हैं।

2. सभी संतरे आम हैं।

निष्कर्ष :

1. सभी नींबू संतरे हैं।

2. कुछ संतरे नींबू हैं।

Appeared in: ESIC Nursing Officer - 2019 (Shift-2)

Explanation

The first statement establishes that the set of 'Lemons' is a complete subset of 'Mangoes'.
The second statement establishes that the set of 'Oranges' is also a complete subset of 'Mangoes'.
However, no direct or indirect relationship between 'Lemons' and 'Oranges' is defined by the statements.
The two subsets ('Lemons' and 'Oranges') could be separate, overlapping, or one could contain the other, all within the larger 'Mangoes' set.
Since a definite relationship cannot be established, any conclusion about the relationship between lemons and oranges is invalid as it is not a logical certainty.

Option A: This option claims that only conclusion 1 ('All lemons are oranges') follows. This is incorrect because the statements do not necessitate that the set of lemons is a subset of oranges. They could be two separate, non-overlapping sets within the larger set of mangoes.
Option B: This option claims that both conclusions follow. This is incorrect because neither conclusion is logically certain. 'Some oranges are lemons' is only a possibility, not a definite outcome. The sets could be completely disjoint.
Option C: This option claims that only conclusion 2 ('Some oranges are lemons') follows. This is incorrect because the statements do not guarantee any overlap between the sets of lemons and oranges. It's possible that no orange is a lemon.

Visual 1: Venn Diagram. A large circle labeled 'Mangoes' containing two smaller, non-overlapping circles labeled 'Lemons' and 'Oranges'. This illustrates the possibility that no lemon is an orange and vice-versa, disproving both conclusions.
Visual 2: Flowchart. A chart showing the premises 'All A are C' and 'All B are C' and demonstrating that no conclusion can be drawn about the relationship between A and B.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Syllogism and Logical Deduction as background academic context rather than a clinical decision trigger.
This question tests logical reasoning, a critical skill for nurses in making sound clinical judgments based on available patient data (premises).
Nurses must avoid making assumptions (invalid conclusions) about a patient's condition without sufficient evidence.
For example, if 'All patients with Condition X have Symptom A' and 'All patients with Condition Y have Symptom A', a nurse cannot conclude that a patient with Condition X also has Condition Y.

How to Approach the Question

Identify the categories in the statements: Lemons, Mangoes, and Oranges.
Translate the statements into set relationships. 'All A are B' means A is a subset of B.
Draw a Venn diagram to represent these relationships. Start with the largest category ('Mangoes') as a big circle.
Place the other categories ('Lemons', 'Oranges') as smaller circles inside the 'Mangoes' circle, according to the statements.
Critically observe that the relationship between 'Lemons' and 'Oranges' is not defined. They can be drawn as separate, overlapping, or one inside the other.
Test each conclusion against all possible valid diagrams. A conclusion is only valid if it is true in EVERY possible scenario. Since both conclusions fail in the 'separate circles' scenario, neither is logically necessary.

Concept Tested & Keywords

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Practise the full ESIC Nursing Officer - 2019 (Shift-2)

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