Direction: In the question below are given two statements followed by two…
2025
Direction: In the question below are given two statements followed by two conclusions i.e. I and II. Taking the given statements to be true even if they seem to be variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
At least some balls are bats
All bats are caps
Conclusions:
I. All caps are balls
II. Some balls are not bats
- A.
Only conclusion I follows
- B.
Both conclusions I and II follow
- C.
Neither conclusion I nor II follows
- D.
Only conclusions II follows
Attempted by 1122 students.
Show answer & explanation
Correct answer: C
Given statements: At least some balls are bats; all bats are caps.
From "At least some balls are bats": there is a non-empty overlap between balls and bats (some items are both).
From "All bats are caps": every bat is also a cap, so the items that are both balls and bats are also caps.
Evaluate the conclusions:
Conclusion I — "All caps are balls": does not follow. The premises only place bats inside caps and guarantee some overlap of balls with bats; they do not require that every cap must be a ball. Caps may include items that are not balls.
Conclusion II — "Some balls are not bats": does not follow. The premises state that some balls are bats, but they give no information about whether there are balls that are not bats. It is possible that all balls are bats, so we cannot deduce that some balls are not bats.
Final answer: Neither conclusion I nor II follows.