Consider the following sentences: All benches are beds. No bed is a bulb. Some bulbs are lamps. Which of the following can be inferred? i. Some beds are lamps ii. Some lamps are beds.

Consider the following sentences: All benches are beds. No bed is a bulb. Some bulbs are lamps. Which of the following can be inferred? i. Some beds are lamps ii. Some lamps are beds. Correct Answer Neither i nor ii

For given condition ⇒ All benches are beds. No bed is a bulb. Some bulbs are lamps, the following Venn diagrams is possible.

[ alt="GATE CE 2017 1 6Q Nitesh (1) images deepak Q1" src="//storage.googleapis.com/tb-img/production/19/07/GATE_CE_2017_1_6Q_Nitesh%20%281%29_images_deepak_Q1.PNG" style="width: 260px; height: 91px;">

According to statement ⇒ Some beds are lamps

[ alt="GATE CE 2017 1 6Q Nitesh (1) images deepak Q1a" src="//storage.googleapis.com/tb-img/production/19/07/GATE_CE_2017_1_6Q_Nitesh%20%281%29_images_deepak_Q1a.PNG" style="width: 246px; height: 93px;">

According to statement ⇒ Some lamps are beds.

[ alt="GATE CE 2017 1 6Q Nitesh (1) images deepak Q1b" src="//storage.googleapis.com/tb-img/production/19/07/GATE_CE_2017_1_6Q_Nitesh%20%281%29_images_deepak_Q1b.PNG" style="width: 268px; height: 101px;">

∴ None of the statement can be logically inferred from the given condition.

Related Questions

Statements : All benches are desks. Some desks are roads. All roads are pillars.

Conclusions :
I. Some pillars are benches.
II. Some pillars are desks.
III. Some roads are benches.
IV. No pillar is bench.