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Read the given statement (s) and conclus...

Read the given statement (s) and conclusions carefully and select which of the conclusions logically follow (s) from the statement (s).
Statement :
All cars are Jeeps
All Jeeps are four-wheelers.
Conclusions :
1. All four wheelers are cars.
2. Some four-wheelers are Jeeps.

A

Neither conclusion follows

B

All the conclusions follows

C

Only conclusion 1 follows

D

Only conclusion 2 follows

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the statements and conclusions logically using a step-by-step approach. ### Step 1: Understand the Statements We have two statements: 1. All cars are Jeeps. 2. All Jeeps are four-wheelers. ### Step 2: Visualize with Venn Diagrams Let's represent the statements using Venn diagrams: - Draw a circle for "Jeeps" and place another circle for "Cars" inside the "Jeeps" circle because all cars are jeeps. - Now, draw a larger circle that encompasses the "Jeeps" circle for "Four-wheelers" because all jeeps are four-wheelers. ### Step 3: Analyze the Conclusions Now, we will analyze the conclusions based on the Venn diagram. **Conclusion 1:** All four-wheelers are cars. - This conclusion is incorrect. In the Venn diagram, we can see that while all cars are inside the "Jeeps" circle, not all four-wheelers are cars. There are four-wheelers that are not cars. Thus, this conclusion does not logically follow. **Conclusion 2:** Some four-wheelers are Jeeps. - This conclusion is correct. From the Venn diagram, we can see that the "Jeeps" circle is within the "Four-wheelers" circle, meaning there are indeed some four-wheelers that are also Jeeps. Thus, this conclusion logically follows. ### Step 4: Final Decision Based on the analysis: - Conclusion 1 is false. - Conclusion 2 is true. Therefore, the answer is that only Conclusion 2 follows from the statements. ### Final Answer: The correct option is that only Conclusion 2 follows. ---
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