Question : Direction: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements
1. All goats are cows.
2. All cows are animals.
Conclusions
I. All goats are animals.
II. All animals are goats.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusion I and conclusion II follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Only conclusion I follows
Solution : Let's evaluate the conclusions based on the given statements:
Statements
- All goats are cows.
- All cows are animals.
Venn diagram
Now, let's consider each conclusion:
I. All goats are animals.
- This conclusion is true based on the given statements. Statement 1 indicates that all goats are cows, and Statement 2 states that all cows are animals. Therefore, it logically follows that all goats are animals.
II. All animals are goats.
- This conclusion is not true based on the given statements. While Statement 1 indicates that all goats are cows, it does not establish a relationship in the reverse direction, i.e., that all cows are goats. Statement 2 simply states that all cows are animals, which doesn't necessarily mean all animals are goats.
In summary, conclusion I ("All goats are animals") is true based on the given statements, but conclusion II ("All animals are goats") is not true.
Hence, the first option is correct.
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