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Statements: 1. No bat is ball 2. No ba...

Statements: 1. No bat is ball
2. No ball is wicket
Conclusions: 1. No bat is wicket
2. All wickets are bats

A

only conclusion 1 follows,

B

only conclusion 2 follows,

C

either conclusion 1 or 2 follows,

D

neither conclusion 1 nor 2 follows,

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the given statements and conclusions step by step. ### Step 1: Understand the Statements 1. **Statement 1**: No bat is a ball. 2. **Statement 2**: No ball is a wicket. ### Step 2: Visualize with a Venn Diagram - Draw three circles to represent bats, balls, and wickets. - According to Statement 1, the circle for bats does not overlap with the circle for balls. - According to Statement 2, the circle for balls does not overlap with the circle for wickets. ### Step 3: Analyze Conclusion 1 - **Conclusion 1**: No bat is a wicket. - From the Venn diagram, we see that there is no direct information about the relationship between bats and wickets. Therefore, we cannot definitively conclude that no bat is a wicket. This conclusion could be true or false, but since we have no evidence to support it, we consider it as not following from the statements. ### Step 4: Analyze Conclusion 2 - **Conclusion 2**: All wickets are bats. - Again, looking at the Venn diagram, there is no overlap between the circle for balls and the circle for wickets. Since there is no information provided that connects wickets to bats, we cannot conclude that all wickets are bats. This conclusion is also not supported by the statements. ### Step 5: Final Conclusion - Since both conclusions do not logically follow from the statements provided, we conclude that neither conclusion 1 nor conclusion 2 follows from the statements. ### Final Answer - The correct answer is: **Neither conclusion 1 nor 2 follows.** ---
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MCGROW HILL PUBLICATION-ADDITIONAL TOPICS IN MENTAL MATH-EXERCISE 2
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