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Statements: 1. All huts are banglows 2...

Statements: 1. All huts are banglows
2. All banglows are temples
Conclusions: 1. Some temples are huts
2. Some temples are banglows

A

only conclusion 1 follows,

B

only conclusion 2 follows,

C

either conclusion 1 or 2 follows,

D

both conclusion 1 nor 2 follows,

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the statements and conclusions step by step. ### Step 1: Understand the Statements 1. **Statement 1**: All huts are bungalows. - This means that every hut is included in the category of bungalows. 2. **Statement 2**: All bungalows are temples. - This means that every bungalow is included in the category of temples. ### Step 2: Visualize with Venn Diagrams - Draw a Venn diagram with three circles: - The first circle represents huts. - The second circle represents bungalows, which completely encompasses the huts circle. - The third circle represents temples, which completely encompasses the bungalows circle. ### Step 3: Analyze the Conclusions 1. **Conclusion 1**: Some temples are huts. - Since all huts are bungalows and all bungalows are temples, it follows that huts (which are part of bungalows) are also part of temples. Therefore, some temples must be huts. 2. **Conclusion 2**: Some temples are bungalows. - Since all bungalows are included in the temples category, it follows that some temples must also be bungalows. ### Step 4: Determine the Validity of Conclusions - Both conclusions can be derived from the statements: - **Conclusion 1** is true because all huts are part of bungalows, and since bungalows are part of temples, some temples must indeed be huts. - **Conclusion 2** is also true because all bungalows are included in temples, meaning some temples are bungalows. ### Final Answer Both conclusions are valid based on the statements provided. ### Summary - **Conclusion 1**: Some temples are huts - **True** - **Conclusion 2**: Some temples are bungalows - **True** Thus, the correct option is that both conclusions follow. ---
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MCGROW HILL PUBLICATION-ADDITIONAL TOPICS IN MENTAL MATH-EXERCISE 2
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