# LR - Cubes - Previous Year CAT/MBA Questions

The best way to prepare for LR - Cubes is by going through the previous year **LR - Cubes CAT questions**.
Here we bring you all previous year LR - Cubes CAT questions along with detailed solutions.

Click here for previous year questions of other topics.

It would be best if you clear your concepts before you practice previous year LR - Cubes CAT questions.

Join our Telegram Channel for CAT/MBA Preparation.

**CAT 1996 LRDI | LR - Cubes CAT Question**

A cube of side 12 cm is painted red on all the faces and then cut into smaller cubes, each of side 3 cm. What is the total number of smaller cubes having none of their faces painted?

- (a)
16

- (b)
8

- (c)
12

- (d)
24

Answer: Option B

Join our Telegram Channel for CAT/MBA Preparation.

**Text Explanation** :

Since each side of the smaller cube is 3 cm, it can be figured out that each face of the original cube is divided into 4 parts, or in other words, the original cube is divided into 64 smaller cubes. For a smaller cube to have none of its sides painted, it should not be a part of the face of the original cube (i.e. none of its faces should be exposed).

We can find at the centre of the original cube there are (2 × 2 × 2) = 8 such cubes.

**Hint:**

****Students please note that the answer can only be a cube of some integer. The only cube among the answer choices is (2)^{3} = 8.

Workspace:

## Feedback

Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.