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Question

Which cube given in the options CANNOT be made using the following sheet?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is

To determine which cube cannot be formed from the given sheet, we need to understand the arrangement of faces in the sheet and how they will appear when folded into a cube.

From the unfolded cube (net), we can observe the following face arrangements:

  • The opposite faces on a cube from this net are:
    • Black square is opposite Black square.
    • Triangles are opposite each other.

Let's examine each option to see if they can be formed from the given net:

This cube is possible because it does not place opposite faces next to each other.

This arrangement is not possible. The net shows that two black squares are opposite each other; hence, they cannot be adjacent as shown in this figure.

This cube is possible because it respects the opposite face placement from the net.

This cube is also possible as it does not place opposite faces next to each other.

Therefore, the correct answer is:

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Similar Questions

  1. Four different positions of the same dice are shown. Select the letter that will be on the face opposite to the one having the letter F. 

  2. Two different positions of the same dice are shown. Select the number of dots that will be on the face opposite to the one with 2 dots.

  3. Four different positions of the same dice are shown. Select the number that will be on the face opposite to the one having 5.


     

  4. Two positions of a cubical block with faces A, B, C, D, E and F are shown below. When F is at the top which face will be at the bottom?

  5. If a cube of $3^{''} \times 3^{''} \times 3^{''}$ is painted on all sides and then cut into 27 smaller cubes of $1^{''} \times 1^{''} \times 1^{''}$, then how many such smaller cubes will be there that are painted only on two sides?
  6. A cube is made by folding the given sheet. In the cube so formed, what would be the letter on the opposite side of the letter A?

  7. Three different positions of the same dice are shown. Select the pattern that will be on the face opposite to the one with the triangle.

  8. Three different positions of the same dice (figures 1, 2, and 3) are shown. Which digit is on the face opposite to the one having 5?

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    2)

     

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  9. The following are different views of the same wooden block. 

    What would be the number opposite 5? (Ignore the orientation of the numbers.)

  10. The following paper cutting is folded along the lines to make a cubical box. Select the correct image of the resulting box from among the options. 


Important Questions from Cube and Dice

  1. Pairs of adjacent sides of a big cube are coloured with red, yellow and brown colour. Now this big cube is divided into 64 small equal cubes. How many small cubes will have 3 faces painted with different colours?

  2. A cube of side 4 cm is painted green on all its faces and then divided into smaller cubes of side 2 cm each. How many small cubes have been obtained?

  3. Two adjacent faces of a solid cube are painted with black colour. The faces opposite to the black faces is painted with blue colour while the remaining faces are painted with yellow colour. After painting, this cube has been divided into 125 equal cubes. How many cubes have no faces painted?

  4. A cube, whose two adjacent faces are coloured, is cut into 64 identical small cubes. How many of these small cubes are not coloured at all?

  5. Three different positions of the same dice are shown. Select the number that will be on the face opposite to the face having the number '3'?

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