Question
Download Solution PDFThree 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:
Some teachers are scientists.
All scientists are doctors.
All doctors are engineers.
Conclusions:
I. Some doctors are teachers.
II. Some engineers are teachers.
III. Some doctors are scientists.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Statements:
Some teachers are scientists.
All scientists are doctors.
All doctors are engineers.
The least possible Venn diagram for the statement is:
Conclusions:
I. Some doctors are teachers. → True. (Some teachers are Scientist and All Scientist are doctors, then the part of scientist who are doctors are also teachers.)
II. Some engineers are teachers. → True. (Some engineers are scientist and some scientist are teachers, then the part of engineers which are scientist are also teachers.)
III. Some doctors are scientists. → True. (All Scientist are Doctors, it gives some doctors are scientist.)
So, All Conclusions Follow.
Hence, the correct answer is 'Option 2'.
Last updated on Jun 13, 2025
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