Three statements are given followed by four conclusions I, II, III and IV. You…
2020
Three statements are given followed by four conclusions I, II, III and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follows from the given statement.
Statements:
All beetroots are carrots.
All carrots are radishes.
All radishes are white.
Conclusions:
I. All beetroots are white.
II. All white are carrots.
III. All radishes are beetroots.
IV. All carrots are white.
- A.
Only conclusions I and II follow.
- B.
Only conclusions I and IV follow.
- C.
Only conclusions II and III follow.
- D.
All the conclusions follow.
Attempted by 141 students.
Show answer & explanation
Correct answer: B
- The Logic: The statements describe nested relationships (concentric circles): Beetroots inside Carrots, Carrots inside Radishes, and Radishes inside White.
- Checking Conclusion I: Since all beetroots are inside carrots, all carrots are inside radishes, and all radishes are inside white, all beetroots are automatically inside white. (Follows)
- Checking Conclusion II: "All white are carrots" moves from the outermost circle to an inner circle, which is incorrect. Only "some white are carrots" is true. (Does not follow)
- Checking Conclusion III: "All radishes are beetroots" moves from an outer circle to an inner circle, which is incorrect. Only "some radishes are beetroots" is true. (Does not follow)
- Checking Conclusion IV: Since all carrots are inside radishes, and all radishes are inside white, all carrots are automatically inside white. (Follows)
- Therefore, only conclusions I and IV follow.