Question

In this question are given four statements followed by five conclusions, one of which definitely does not logically follow (or is not a possibility of occurrence) from the given statements. That conclusion is your answer.

Note:- You have to take the four 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 does not follow from the given statements disregarding commonly known facts.

Statements:-
No toy is a doll.
All guns are toys.
All houses are dolls.
All dolls are baskets.

Conclusions:-
a. All baskets are toys.
b. No gun is a house.
c. All guns being baskets is a possibility.
d. All houses are baskets.
e. No doll is a gun.

• A. All baskets are toys
• B. No gun is a house
• C. All guns being baskets is a possibility
• D. All houses are baskets
• E. No doll is a gun

Answer 1

The correct option is A All baskets are toys

All houses are dolls (A) + All dolls are baskets (A) = A + A = A = All houses are baskets (A)
Hence, conclusion (d) follows.
Again, No toy is a doll (E) + All dolls are baskets (A) = E + A = $O^{\ast }$ = Some baskets are not toys. Hence, (a) does not follow.
Again, All guns are toys (A) + No toy is a doll (A) = A + E = E = No gun is a doll (E) $\to$ conversion $\to$ No doll is a gun (E). Hence, (e) follows. Now, All houses are dolls (A) + No doll is a gun (E) = A + E = E = No house is a gun (E) $\to$ conversion $\to$ No gun is a house (E). Hence, (b) follows. The possibility in (c) exists on combining statements second, third and fourth. Hence, conclusion (c) follows.

So, only conclusion (a) does not follows.