Question

In each of the questions below are given three statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All lions are ducks.
No duck is a horse.
All horses are fruits.

Conclusions
I. No lion is a horse.
II. Some fruits are horses.
III. Some ducks are lions.
IV. Some lions are horses.

• A. All follow
• B. Only either I or II and both III and IV follow
• C. Ony either I or IV and both II and III follow
• D. Only either I or IV and II follow
• E. None of the above

Answer 1

The correct option is E None of the above

Mediate term of the following statement is
All lions are ducks (A-type)
No duck is horse (E-type)
$A+E\to Etype$
No lions is horse
(Conclusion I follows)
Another mediate term
No duck is a horse (E-type)
All horses are fruits (A-type)
$E+A\to O_{R}type$
Some fruits are not ducks
In the statements,
All horses are fruits
Conversion
Some fruits are horses
(Conclusion II follows)
All lions are ducks
Conversion
Some ducks are lions
(Conclusion III follows)
Conclusion I or IV are a complementary pair.

None of the given options is correct.