2 solved Dices & Cubes previous year questions (PYQs) from past year papers — attempt each and check the answer.
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Q1:jipmat 2025LRDI › Dices & CubesEasyLR · MCQ
If four different positions of a dice are shown below, then what number is opposite 3?
A6
B4
C3
D2
Pick an option to attempt
Read off every face that shares a view with 3. The first die shows 3 with 2 and 6, the third shows it with 6 and 1, and the fourth shows it with 5 and 1 - so 2,6,1 and 5 are all adjacent to 3.
That leaves only one number unaccounted for, and a face can only be adjacent or opposite. Hence 4 is opposite 3, which is Option 2.
Q2:jipmat 2025LRDI › Dices & CubesMediumLR · MCQ
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.
AA and B only
BA, B and C only
CA, B and D only
DC and D only
Pick an option to attempt
The Setup: We are dealing with a standard n×n×n painted cube problem. The total number of cubes is 27, which means n3=27, so n=3. We can dox the exact counts using the standard formulas.
Step 1: Stat-check the formulas
* 3 faces painted (Corners): Always exactly 8. (Statement D is True)
* 2 faces painted (Edges):12×(n−2)=12×(3−2)=12. (Statement C says six, so C is False)
* 1 face painted (Face centers):6×(n−2)2=6×(1)2=6. (Statement A is True)
* 0 faces painted (Inner core):(n−2)3=(1)3=1. (Statement B is True)
Step 2: Secure the final bag
Statements A, B, and D are perfectly accurate.
Final Answer: A, B and D only
