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Directions to Solve
In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.
Question -
Statements:
- All the locks are keys.
- All the keys are bats.
- Some watches are bats.
Conclusions:
- Some bats are locks.
- Some watches are keys.
- All the keys are locks.
- a)Only (1) and (2)
- b)Only (1)
- c)Only (2)
- d)Only (1) and (3)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions to SolveIn each of the following questions there are three ...
Upon examining the statements and conclusions provided, it is clear that the conclusion "(1) Some bats are locks" logically follows from the given statements because if all locks are keys and all keys are bats, then some bats must indeed be locks.
Conclusion "(2) Some watches are keys" does not follow because there is no direct link between watches and keys in the statements.
Conclusion "(3) All the keys are locks" is incorrect because it contradicts the given statement that "All locks are keys."
Therefore, the correct conclusion is indeed "(1) Some bats are locks," making the correct option "Only (1)."
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Community Answer
Directions to SolveIn each of the following questions there are three ...
Understanding the Statements
To analyze the given statements, let’s break them down:
- Statement 1: All the locks are keys.
- Statement 2: All the keys are bats.
- Statement 3: Some watches are bats.
From these statements, we can deduce the following relationships:
1. Locks → Keys → Bats: Since all locks are keys and all keys are bats, it follows that all locks are also bats.
2. Watches and Bats: The third statement indicates that there is an overlap between watches and bats, meaning some watches are indeed bats.
Evaluating the Conclusions
Now let's evaluate each conclusion based on the established relationships:
1. Conclusion 1: Some bats are locks.
- This conclusion is true because all locks are keys, and all keys are bats. Thus, it follows that some bats must be locks.
2. Conclusion 2: Some watches are keys.
- This conclusion cannot be definitively concluded. While we know some watches are bats, we do not have enough information to assert that any of those bats are keys.
3. Conclusion 3: All the keys are locks.
- This conclusion is false. While all locks are keys, not all keys can be assumed to be locks because we know there are keys that are not locks.
Final Answer
Based on the above evaluations, the conclusions that logically follow are:
- Only Conclusion (1) is valid.
Therefore, the correct answer is option B: Only (1).
To analyze the given statements, let’s break them down:
- Statement 1: All the locks are keys.
- Statement 2: All the keys are bats.
- Statement 3: Some watches are bats.
From these statements, we can deduce the following relationships:
1. Locks → Keys → Bats: Since all locks are keys and all keys are bats, it follows that all locks are also bats.
2. Watches and Bats: The third statement indicates that there is an overlap between watches and bats, meaning some watches are indeed bats.
Evaluating the Conclusions
Now let's evaluate each conclusion based on the established relationships:
1. Conclusion 1: Some bats are locks.
- This conclusion is true because all locks are keys, and all keys are bats. Thus, it follows that some bats must be locks.
2. Conclusion 2: Some watches are keys.
- This conclusion cannot be definitively concluded. While we know some watches are bats, we do not have enough information to assert that any of those bats are keys.
3. Conclusion 3: All the keys are locks.
- This conclusion is false. While all locks are keys, not all keys can be assumed to be locks because we know there are keys that are not locks.
Final Answer
Based on the above evaluations, the conclusions that logically follow are:
- Only Conclusion (1) is valid.
Therefore, the correct answer is option B: Only (1).
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