# 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.

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**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

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**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.

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