Read the given statements and conclusions carefully. Assuming that the information given in the statements is true even if it seems to be at variance from commonly known facts, decide which of the given conclusions logically follows from the given statements.
Statements:
Some bulbs are tube lights.
Some tube lights are switches.
No switch is wire.
Conclusions:
I. Some tube lights are bulbs.
II. No switch is bulb.
III. No wire is tube light.
- AOnly conclusion I follows
- BOnly conclusions I and III follow
- COnly conclusions II and III follow
- DOnly conclusions I and II follow
Solution & Step-by-step Explanation
Let's evaluate each conclusion based on the statements:
Statement 1: Some bulbs are tube lights. This directly implies that Some tube lights are bulbs (Conclusion I is true).
Statement 2: Some tube lights are switches.
Statement 3: No switch is wire.
Now check the remaining conclusions:
Conclusion II: No switch is bulb. There is no direct negative relationship defined between switches and bulbs, so this is not definitely true.
Conclusion III: No wire is tube light. We know no switch is a wire, and some tube lights are switches, so the part of tube lights that are switches cannot be wires. However, the remaining tube lights can potentially be wires, so "No wire is tube light" is not definitely true.
Hence, only conclusion I follows.
Statement 1: Some bulbs are tube lights. This directly implies that Some tube lights are bulbs (Conclusion I is true).
Statement 2: Some tube lights are switches.
Statement 3: No switch is wire.
Now check the remaining conclusions:
Conclusion II: No switch is bulb. There is no direct negative relationship defined between switches and bulbs, so this is not definitely true.
Conclusion III: No wire is tube light. We know no switch is a wire, and some tube lights are switches, so the part of tube lights that are switches cannot be wires. However, the remaining tube lights can potentially be wires, so "No wire is tube light" is not definitely true.
Hence, only conclusion I follows.