Question

The question is followed by two statements numbered I and II. Mark answer as:
In a class, 150 students took the examination of Physics and Chemistry. 90 students passed in Chemistry and 50 passed in Physics. How many students passed in both ?
I.Overall 30 students failed in both the papers.
II. Physics paper was tougher than Chemistry paper.

• A. statement I alone is sufficient to provide the answer.
• B. statement II alone is sufficient to provide the answer.
• C. both statements are required to provide the answer.
• D. neither statement I nor II is sufficient to provide the answer

Answer 1

Answer: (A)

statement I alone is sufficient to provide the answer.

Answer 2

From statement I we find 150−30=120 students who pass either one subject or both subjects.
Hence using this statement we find the students who pass in both subjects (90+50−120).
Statement II gives irrelevant information.
So the correct option is (A)