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. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:

(I) All crows are bananas.

(II) Some bananas are pink.

(III) All pink are white.
Conclusion

I: Some crows are bananas.
II: All bananas are pink.​​

Given: 

(I) All crows are bananas.

(II) Some bananas are pink.

(III) All pink are white.

From the given statement following Venn diagram will be - 

Conclusion I: "Some crows are bananas." (True, From the first statement, "All crows are bananas," we know that every crow is a banana. Therefore, it is true that some crows are bananas, as all crows are included in the category of bananas.)
Conclusion II: "All bananas are pink." (False, From the second statement, "Some bananas are pink," we only know that some bananas are pink, not that all bananas are pink.)
Thus, the correct answer is (C) Only conclusion (I) is follow.