Directions: In the following question below some statements are given followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: No phone are mobile. Some mobile are wire. Conclusions: I. Some wire are mobile. II. Some wire are not phone.
Directions: In the following question below some statements are given followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements: No phone are mobile. Some mobile are wire.
Conclusions:
I. Some wire are mobile.
II. Some wire are not phone.
correct answer is: option d : Both conclusions I and II follow
Explanation: Let's analyze each conclusion based on the given statements using Venn diagrams. The statement "No phone are mobile" means that the sets of phones and mobiles are disjoint (no overlap). The statement "Some mobile are wire" means that there is an overlap between the sets of mobiles and wires.
- Option I: Some wire are mobile: Since "Some mobile are wire," it directly implies that "Some wire are mobile." This conclusion is a direct consequence of the given statement, so it follows.
- Option II: Some wire are not phone: Since some wires are mobile, and no phones are mobile, it logically follows that these wires (which are mobile) cannot be phones. Hence, "Some wire are not phone" also follows.
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