In the given question, a statement is given followed by some conclusions. Choose the conclusion(s) which logically follow(s) the given statement.
Statement:
Few shops on this road have neon lights, but they all have signboards.
Conclusions:
I. Some shops have either signboards or neon lights.
II. Some shops have no signboards.
III. Some shops have no neon lights.
IV. Some shops have both signboards and neon lights.
The conclusion(s) correctly drawn is/are:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → III and IV
In reasoning questions, “few” means “some, but not many”: a few shops have neon lights and the rest do not. “They all have signboards” refers to those few shops with neon lights; nothing is said about the signboards of the other shops.
I. Some shops have either signboards or neon lights. Incorrect. “Either … or” means one of the two and not both. The only shops we know about, those with neon lights, have both; whether any shop has only one of them is not stated.
II. Some shops have no signboards. Incorrect. The statement says nothing about the signboards of the shops without neon lights, so this cannot be concluded.
III. Some shops have no neon lights. Correct. Only a few shops have neon lights, so the rest have none.
IV. Some shops have both signboards and neon lights. Correct. The few shops with neon lights all have signboards too.