Set Theory

[niksdoon]

In a school, 70% teach Science, 64% Economics, and 60% teach English. Atleast 40% of those who teach English also teach either science or Economics. How many of the teachers teach atleast 2 or 3 of the subject.
1. 50% of the teachers teach all the 3 subjects.
2. atleast 20% of the teachers who teach Science also teach Economics.

IMO it should be A but would like to have your opinion.

[parthatayi]

In a school, 70% teach Science, 64% Economics, and 60% teach English. Atleast 40% of those who teach English also teach either science or Economics. How many of the teachers teach atleast 2 or 3 of the subject.
1. 50% of the teachers teach all the 3 subjects.
2. atleast 20% of the teachers who teach Science also teach Economics.

IMO it should be A but would like to have your opinion.

What is OA.I think the OA is E.
As such questions consume time,I feel we shall make a guess.The absolute answer cannot be obtained.But I think 60% of the teachers teach atleast 2 or 3 subjects.
Please let us know the OA.

Thanks and Regards,
Partha.

[akhp77]

What is the source of the problem?
Is anything missing in this problem?

[jnelson0612]

Please provide the original answer and the source of this problem.