Question Details

Statements:
All circuits are wires
Only wires are power
Some circuits are voltage

Conclusions:
I. Some wires are voltage.
II. All circuits being power is a possibility
III. Some voltage being power is a possibility.

In each question below, some statements are given followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows.

Options

A

Both II and III

B

Only II

C

Only I

D

Both I and III

E

None follows

Show Answer

Correct Answer :

Option C

Only I

Solution :

To determine which of the conclusions logically follow from the given statements, we can analyze each statement step-by-step using set theory and syllogistic logic:

1. Analyze the Statements:
- "All circuits are wires": This means the set of "circuits" is a subset of "wires" (CircuitsWires).
- "Only wires are power": The phrasing "Only A are B" is logically equivalent to "All B are A". Therefore, "All power is wires" (PowerWires). Additionally, in modern syllogism, the "only" constraint implies that "power" cannot overlap with any other class except "wires". Thus, "power" belongs exclusively to "wires" and cannot intersect with "circuits" or "voltage".
- "Some circuits are voltage": This means there is an intersection between the set of "circuits" and "voltage" (CircuitsVoltage).

2. Evaluate Conclusion I: "Some wires are voltage."
Since all circuits are wires, and some of those circuits are also voltage, the elements that are both circuits and voltage must also be wires. Therefore, there is a guaranteed intersection between "wires" and "voltage". Hence, Conclusion I logically and definitely follows.

3. Evaluate Conclusion II: "All circuits being power is a possibility."
From the statement "Only wires are power", we know that "power" is exclusive to "wires" and cannot belong to any other category (like "circuits" or "voltage"). Therefore, no circuit can ever be power. Thus, it is impossible for all circuits to be power. Conclusion II does not follow.

4. Evaluate Conclusion III: "Some voltage being power is a possibility."
Similar to Conclusion II, due to the exclusive nature of "Only wires are power", the set of "power" cannot overlap with "voltage". Therefore, it is impossible for any voltage to be power. Conclusion III does not follow.

Conclusion:
Only conclusion I logically follows from the statements.

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