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Read the given statements, and coachisio...

Read the given statements, and coachisions carefully. Assuming that the information in the statements) is true, even if they appear to be at variance with commonly known facts, select which of the conclusions logically follow(s) from the statement(s) beyond reasonable doubt.
Statements:
All crayons are pens
All pens are nibs
Conclusions:
(I) All crayons are nibs
(II) All nibs are crayons

A

Only II follows

B

Only I follows

C

Both I and II follow

D

Neither I nor II follows

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the statements and the conclusions step by step. ### Step 1: Analyze the Statements 1. **Statement 1**: All crayons are pens. - This means that every crayon is included in the category of pens. We can visualize this with a diagram where the circle representing crayons is entirely within the circle representing pens. 2. **Statement 2**: All pens are nibs. - This means that every pen is included in the category of nibs. We can visualize this with a diagram where the circle representing pens is entirely within the circle representing nibs. ### Step 2: Visual Representation - We can represent the relationships as follows: - Crayons (C) are inside Pens (P), which are inside Nibs (N). - Diagrammatically: - Nibs (N) - Pens (P) - Crayons (C) ### Step 3: Analyze the Conclusions 1. **Conclusion I**: All crayons are nibs. - Since all crayons are pens and all pens are nibs, it logically follows that all crayons must also be nibs. This conclusion is true. 2. **Conclusion II**: All nibs are crayons. - This conclusion states that the entire category of nibs falls within the category of crayons. However, from our statements, we only know that all crayons are pens and all pens are nibs. There are nibs that are not crayons (the part of the nibs that does not overlap with crayons). Therefore, this conclusion is false. ### Step 4: Final Conclusion - From our analysis, we can conclude that: - **Conclusion I** is true. - **Conclusion II** is false. Thus, the answer is that only Conclusion I logically follows from the statements. ### Summary of the Solution: - **Correct Answer**: Only Conclusion I follows.
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