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Hello ! Welcome to your NTSE MAT - Cubes and Dices

Instructions:

Time: 20:00 min                                                                                                          Full Marks: 60

  1. There is negative marking of -1.00 for all incorrect answers chosen.
  2. There is no deduction for NOT attempted question.
  3. All questions carry equal marks and all 15 questions are of 4 marks each.
  4. All Questions are compulsory.

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1. Directions (1-3): Given below are three positions of the same cube having numbers 1 to 6 written on its six faces. Answer question 1 to 3 after a careful study of the three positions of the cube.

Dices and Cubes

The number on the face opposite to the face having number 4 is
2. Directions (1-3): Given below are three positions of the same cube having numbers 1 to 6 written on its six faces. Answer question 1 to 3 after a careful study of the three positions of the cube.

Dices and Cubes

The face on the bottom in the first figure has the number
3. Directions (1-3): Given below are three positions of the same cube having numbers 1 to 6 written on its six faces. Answer question 1 to 3 after a careful study of the three positions of the cube.

Dices and Cubes

What are the neighbours of 5 except 3 and 6?
4. Direction (4-6): In the figure below, the first figure is unfolded cube and there are four different positions of the same cube. You have to choose one of the choices given in (A), (B), (C), (D) that is similar to the box formed.

unfolded dice problem
5. Direction (4-6): In the figure below, the first figure is unfolded cube and there are four different positions of the same cube. You have to choose one of the choices given in (A), (B), (C), (D) that is similar to the box formed.

unfolded dice problem
6. Direction (4-6): In the figure below, the first figure is unfolded cube and there are four different positions of the same cube. You have to choose one of the choices given in (A), (B), (C), (D) that is similar to the box formed.

Unfolded cube problem
7. Direction (7-8): Three connections of Airtel, Hutch, Idea are free with three handsets of Sony, Nokia, Samsung. The connection which comes free with a particular handset is written on the face opposite to it on a cube. Two positions of the cube are shown below:

Dice and cube problem

Airtel is being offered free with
8. Direction (7-8): Three connections of Airtel, Hutch, Idea are free with three handsets of Sony, Nokia, Samsung. The connection which comes free with a particular handset is written on the face opposite to it on a cube. Two positions of the cube are shown below:

Dice and cube problem

Samsung gives a free connection of
9. Which number is on the face opposite to 3?

Dice problems
10. Which number is on the face opposite to 2?

Dice problem
11. Two positions of a dice are shown below:

Cube and dice problem

When three dots are at the top, how many will be at the bottom?
12. Directions: In this question, six dices with their top faces erased have been given. The opposite faces of the dices have dots which add up to 13. Work out the number of dots on the top faces and answer the question.

Cube and dice problem

If the even numbered dices have odd numbers of dots at their top focus, what would be the total number of dots?
13. A cubical block with designs in its faces is presented as viewed from different directions. Find the design on the blank face.

design problem
14. Directions: A toy cube has a pictures of different fruits on its six face. The top face has the picture of orange. Banana is adjacent to melon and orange. Apple is not at the bottom to the cube and melon is opposite to peach. Answer the question 14 based on the above assumptions.

Which fruit is opposite the face having the picture of apple?
15. A three-centimetre cube has been painted blue on all its sides. It is cut into one-centimetre cubes. How many cubes will be there with two rides painted blue?

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