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:
Some snakes are lizards.
All roosters are lizards.
Conclusions:
(I) All lizards are roosters.
(II) No roosters are snakes.

​Statements:
Some snakes are lizards.
All roosters are lizards.​

​Conclusions:
(I) All lizards are roosters - does not follow (Because, The second statement says all roosters are lizards, but it does not mean that $$\text{all lizards are roosters}$$).​
(II) No roosters are snakes - does not follow (Because, There is no statement that explicitly states or implies that roosters and snakes do not overlap).

So, neither conclusion follows

Thus, the correct option is: (c) Neither conclusion (I) nor (II) follows.