Question

In each group of questions below are two/three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two/three statements, disregarding commonly known facts. Give answer
Statements: Some exams are tests.
No exam is a question.
Conclusions: I. No question is a test.
II. Some tests are definitely not exams.

• A. if only conclusion I follows.
• B. if only conclusion II follows.
• C. if either conclusion I or conclusion II follows.
• D. if neither conclusion I nor conclusion II follows.
• E. if both conclusion I and conclusion II follow.

Answer 1

Answer: (D)

if neither conclusion I nor conclusion II follows.

As per the statement,

1. This statement tells us that there is some intersection between sets of exams,tests.But this does not tell us anything about individual sets of exams,tests.

2.this tells us clearly that there is no intersection between exams,questions

Possible cases:

1.Take a case in which tests set is a subset of exams,questions set is an separate non intersecting set. (as in the image-1 )

2.where there exists some other tests other than exams(as shown in image-2)

NOTE:one non-satisfying case is sufficient to prove a conclusion wrong.

Now checking the conclusions,

1. Question can be a test. Therefore conclusion I is false.(as per image 2)

2. There exists no test which is not an exam.(as per image 1)