JIPMAT 2025 (LR) - If a cube is painted yellow on all faces and cut into 27 small cubes of equal size, then which of the following are correct? A. Six cubes are painted on one face only. B. There is only one cube which is not painted on any face. C. There are six cubes which have two faces painted. D. There are eight cubes which have three faces painted. | PYQs + Solutions

JIPMAT 2025

Logical Reasoning

Cubes & Dice

Medium

If a cube is painted yellow on all faces and cut into 27 small cubes of equal size, then which of the following are correct?
A. Six cubes are painted on one face only. $\newline$ B. There is only one cube which is not painted on any face. $\newline$ C. There are six cubes which have two faces painted. $\newline$ D. There are eight cubes which have three faces painted.

A and B only

A, B and C only

A, B and D only

C and D only

✅ Correct Option: 3

A cube with 27 small cubes will be equivalent to a rubik's cube (

3\times3\times 3)

A. Six cubes are painted on one face only.

\newline

True, since the only central cube on each face will have one side painted.

\newline

6 faces

\rightarrow

6 cubes with one face painted only

B. There is only one cube which is not painted on any face.

\newline

True, it will a small cube located in the interior centre of the bigger cube.

C. There are six cubes which have two faces painted.

\newline

False, each edge will have a cube in the middle which will be painted exactly on two sides.

\newline

12 edges

\rightarrow

12 cubes with exactly two faces painted.

D. There are eight cubes which have three faces painted.

\newline

True The corner cubes of the bigger cube will have exactly three faces painted.

Hence, the correct option is Option 3.

Related questions:

JIPMAT 2025

If four different positions of a dice are shown below
then what number is opposite 3?