Question

All Engineers are Mathematicians. Some Mathematicians are Authors. No Author
is a Scientist. Some Engineers are Scientists. Examine the following statements:
I. No Author is an Engineer.
II. Some Scientists are Engineers.
III. Some Mathematicians are not Scientists.
Select the correct option :

• A. Only II follows
• B. Both I & III follows
• C. Both II & III follows
• D. Only I follows

Answer 1

Answer: (C)

Both II & III follows

Answer 2

I. No Author is an Engineer: This does not follow as the relationship between Engineers and Authors is not specified.
II. Some Scientists are Engineers: This follows because some Engineers are Scientists.
III. Some Mathematicians are not Scientists: This follows because not all Mathematicians are Scientists (due to the ’Some Engineers are Scientists’ statement).
Thus, the correct answer is Option (C).