Question

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

Some carrots are radishes.

Some cucumbers are radishes.

Conclusions:

I. All cucumbers are carrots.

Il. Some cucumbers are carrots.

• A. Neither conclusion I nor Il follows
• B. Only conclusion I follows
• C. Both conclusions I and Il follow
• D. Only conclusion II follows

Answer 1

Answer:

A. Neither conclusion I nor Il follows

Let’s analyze the statements:

Statements:

1. Some carrots are radishes → (Carrots ∩ Radishes ≠ ∅)

2. Some cucumbers are radishes → (Cucumbers ∩ Radishes ≠ ∅)

So, both carrots and cucumbers individually overlap with radishes, but there is no direct link between carrots and cucumbers.

Conclusion I: All cucumbers are carrots

No information supports that cucumbers are fully contained in carrots.

Does not follow.

Conclusion II: Some cucumbers are carrots

We only know:

• Cucumbers overlap with radishes

• Carrots overlap with radishes

But overlap with a common third group does not guarantee overlap between cucumbers and carrots.

Does not follow.

Final Answer:

Neither Conclusion I nor Conclusion II follows.