Two 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 women are engineers.
Some singers are engineers.
Conclusions:
I. All women are singers not follows because some singers are engineers given in statement.
II. All singers are women not follows because some singers are engineers given in statement.
III. Some engineers are women follows because all women are engineers and some singers are engineers.