Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All gloves are bats.

All stumps are bats.

All bats are balls.

Conclusions:

I. All stumps are balls.

II. Some balls are gloves.

III. Some gloves are stumps.

I. All stumps are balls. ⇒ This conclusion follows logically from the statements. [ All stumps are bats, All bats are balls. Therefore, if all stumps are bats and all bats are balls, it follows that all stumps are balls.]

II. Some balls are gloves. ⇒ This conclusion also follows logically from the statements. [All gloves are bats and All bats are balls. Therefore, if all gloves are bats and all bats are balls, it follows that some balls are gloves.]

III. Some gloves are stumps. ⇒  This conclusion does not follow from the statements. [While both gloves and stumps are bats (from the first and second statements), there is no direct relationship established between gloves and stumps. Therefore, this conclusion does not logically follow from the given statements.]

So, based on the principles of syllogism, only conclusions I and II logically follow from the given statements.

Hence, the correct answer is "Only conclusions I and II follow"