Five statements are given below followed by options consisting of three statements put together in a specific order. Choose the option which indicates a conclusion drawn from the preceding two statements.
(A) All models are pretty
(B) Some models are popular
(C) Ruby is pretty
(D) Ruby is a popular heroine
(E) Some popular girls are pretty
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A), (B), (E)
In each option the first two statements are the premises and the third is the conclusion. The conclusion is valid only if it must be true whenever both premises are true, with no fact added.
(A) All models are pretty: the circle of models lies wholly inside the circle of pretty people.
(B) Some models are popular: the circle of popular people overlaps the circle of models.
The popular models are inside the models’ circle, so they are pretty as well. Hence some popular girls are pretty, which is (E).
Why the other options are incorrect
Option (2) (A), (C), (D) — Incorrect. Ruby being pretty does not make her a model, and neither premise says anything about being popular or a heroine.
Option (3) (D), (C), (A) — Incorrect. Two facts about one person, Ruby, cannot prove a statement about all models.
Option (4) (E), (D), (C) — Incorrect. Ruby is popular, but only some popular girls are pretty, so Ruby may be one of those who are not.