Three Statements are given followed by two conclusions numbered I and II. 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.
Statement I: Some engineers are doctors.
Statement II: All doctors are lawyers.
Statement III: Some lawyers are not teachers.
Conclusion I: Some lawyers are teachers.
Conclusion II: Some engineers are lawyers
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusion II follows.
The least possible Venn diagram is:
Conclusions:
I. Some lawyers are teachers → Does not follow (As, Some lawyers are not teachers. So, it is possible but not definite.)
II. Some engineers are lawyers → Follow (As, Some engineers are doctors and all doctors are lawyers. So, some part of engineers is common with doctors which whole comes in lawyers, therefore it is definitely true.)
Thus, Only conclusion II follows.