UPSC Prelims 2023 · CSAT (Paper 2) · Q79

General Mental Ability

Hard · Spatial / painted cubes

A cuboid of dimensions 6 cm x 4 cm x 3 cm is painted red, green and blue colour on each pair of opposite faces of dimensions 6 cm x 4 cm, 4 cm x 3 cm, 6 cm x 3 cm respectively. Then the cuboid is cut and separated into various cubes each of side length 1 cm. Which of the following statements is/are correct?

1. There are exactly 8 small cubes with no paint on any face.

2. There are exactly 8 small cubes with exactly two faces painted, one painted with red and the other with blue.

Select the correct answer using the code given below: