Cubes And Dice MCQs with Explanations

The correct answer is C: 3 . Here's why: Imagine a cube in your hand. You can paint the top face one color (let's say color 1). Then, you can paint the bottom face the same color (color 1), because it's not adjacent to the top. Now, all the faces around the sides are adjacent to both the top and bottom. So, you need a different color (color 2) for one of the side faces. The face opposite to that side face can also be painted with color 2. The last two faces will require a third color (color 3) because they are adjacent to both the faces painted with color 1 and color 2. Therefore, you need a minimum of 3 colors to make sure no two adjacent faces have the same color.

140 is the correct answer to “Count the number of cubes in the given figure.”. This question is standard in competitive examination syllabi for Cubes And Dice.

7 is the correct answer to “Count the number of blocks in the given figure.”. This question is standard in competitive examination syllabi for Cubes And Dice.

24 is the correct answer to “All surfaces of a cube are coloured. If a number of smaller cubes are taken out from it, each side 1 / 4 the size of the original cube's side, indicate the number of cubes with only one side painted.”. This question is standard in competitive examination syllabi for Cubes And Dice.

6 is the correct answer to “A cube, painted yellow on all faces is cut into 2, small cubes of equal size. How many small cubes are painted on one face only”. This question is standard in competitive examination syllabi for Cubes And Dice.

Pink is the correct answer to “The six faces of a solid cube have been painted in different colours. The top of the cube is painted Red and the bottom is painted White. The rest of the four faces have been painted Yellow, Blue, Green and Pink, respectively in clockwise direction. The cube is now turned in such a manner that Blue face is at the top. What will be the colour of the bottom face”. This question is standard in competitive examination syllabi for Cubes And Dice.

3 and 4 only is the correct answer to “Choose from amongst the alternatives 1, 2, 3 and 4, the box/boxes that is/are similar to the box that will be formed by the sheet of paper when it is folded.”. This question is standard in competitive examination syllabi for Cubes And Dice.