Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements.

Statements:
I. Some games are boards.
II. No board is a dice.
III. No remote is a game.
Conclusions:
(I) No game is a dice.
(II) Some remotes are boards.

​Statements:

I. Some games are boards.
​II. No board is a dice.
​III. No remote is a game.​
​From the given information Venn diagram will be:

​​Conclusions:
(I) No game is a dice (Does not Follow, However, the statement does not rule out the possibility of other games being dice. Therefore, this conclusion is not necessarily true, because the possibility of some games being dice (which are not boards) still exists​).
(II) Some remotes are boards (Does not Follow, There is no direct link between remotes and boards given in the statements).

So, ​Neither conclusion (I) nor (II) follows.

Thus, the correct option is: (c)