Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is

To determine the piece of paper that can be folded to make the dice shown in the images, we need to understand the relationship between the numbers on each face of the dice.
Let's analyze the different views of the dice:
Now, we apply the rule: Two opposite faces of a dice cannot be adjacent in the views shown.
From the above views, we can conclude:
Based on these observations, we identify the correct paper cutout for the dice from the given options. The cutout should have opposite faces not adjacent to each other:
Let's view the options given (please see images provided in the original question for visual reference):
This option shows arrangement where:
This arrangement matches the conditions deduced from the views of the dice. Thus, the correct answer is:
Therefore, the piece of paper that can be folded to make this dice is the one indicated in the correct answer image above.
An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?
How many triangles are present in the given figure?


A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above.
Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by an arrow in the above figure?
An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B. 
If viewed from direction Y, the planar image of the assembly (Figure A) will appear as