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:

1. No potatoes is sweet.

2. All potatoes are avocadoes.

3. Some potatoes are dragon fruits.

Conclusions:

I. Some avocadoes are not sweets.

II. Some dragon fruits are not sweets.

III. Some avocadoes are sweets.​​

Statements:

1. No potatoes is sweet.

2. All potatoes are avocadoes.

3. Some potatoes are dragon fruits.

From the given statements possible Venn diagram will be.

Conclusions: 

I. Some avocadoes are not sweets. (Ture, there is no direct or indirect relation between avocadoes and sweets).

II. Some dragon fruits are not sweets. (True, there is no direct or indirect relation between dragon fruits and sweets).

III. Some avocadoes are sweets. (False, ewdon’t have any information confirming that any avocado is a sweet).

So, ​Both conclusion I and II follows.

Thus, correct option is (a).