IPMAT Rohtak 2019 (LR) PYQs

This question is based on the information given below: The six faces of cube are painted in a manner that no two adjacent faces have the same colour. The three colours used in painting are red, blue and green. The cube is then cut into 36 smaller cubes in a manner that 32 cubes are of one size and the rest of a bigger size and each of the bigger cube has no red side. How many cubes only have one side coloured?

A cube is coloured red on all of its faces. It is then cut into 64 smaller cubes of equal size. Which of the following statements are correct?

(A) The number of smaller cubes with two surfaces painted is 36.

(B) The number of smaller cubes with one surface painted is 24.

(C) The number of smaller cubes with no surface painted is 8.

(D) The number of smaller cubes with at least two surfaces painted is 30.

The sum of the numbers of dots on the opposite face is 7.

If the odd numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?