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Dice Based Reasoning

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  1. Question 1 of 20
    1. Question

    Directions (Qs 1 – 4) : Read the information given below to answer the questions that follow.

    1. A cube has six sides, each of which has a different colour : black, blue, brown, green, red and white.
    2. The red side is opposite the black.
    3. The green side is between the red and the black.
    4. The blue side is adjacent to the white.
    5. The brown side is adjacent to the blue.
    6. The red side is the bottom face.

    The four colours adjacent to green are :

    Hint

    When the cube is unfolded, it will look like as
    16497.png
    The four colours adjacent to green are black, brown, red and white.

  2. Question 2 of 20
    2. Question

    Directions (Qs 1 – 4) : Read the information given below to answer the questions that follow.

    1. A cube has six sides, each of which has a different colour : black, blue, brown, green, red and white.
    2. The red side is opposite the black.
    3. The green side is between the red and the black.
    4. The blue side is adjacent to the white.
    5. The brown side is adjacent to the blue.
    6. The red side is the bottom face.

    Which of the following can be deduced from the statements 1, 2 and 6 ?

    Hint

    The red side is opposite to the black. Therefore, if red is at the bottom, black will be at the top.

  3. Question 3 of 20
    3. Question

    Directions (Qs 1 – 4) : Read the information given below to answer the questions that follow.

    1. A cube has six sides, each of which has a different colour : black, blue, brown, green, red and white.
    2. The red side is opposite the black.
    3. The green side is between the red and the black.
    4. The blue side is adjacent to the white.
    5. The brown side is adjacent to the blue.
    6. The red side is the bottom face.

    Which of the following statements given above adds no information?

    Hint

    6 does not add to the information provided by 1 – 5.

  4. Question 4 of 20
    4. Question

    Directions (Qs 1 – 4) : Read the information given below to answer the questions that follow.

    1. A cube has six sides, each of which has a different colour : black, blue, brown, green, red and white.
    2. The red side is opposite the black.
    3. The green side is between the red and the black.
    4. The blue side is adjacent to the white.
    5. The brown side is adjacent to the blue.
    6. The red side is the bottom face.

    If the red side is exchanged for the green side and the blue is swapped for black, then which of the following is false ?

    Hint

    Adjacent to white, we have brown.

  5. Question 5 of 20
    5. Question

    Directions (Qs. 5 – 9) : Following questions are based on the figures given below which represent different positions of the same dice.
    16851.png
    Which number lies at the bottom face of the dice (i)?

    Hint

    Since 1, 3, 5 and 6 are adjacent to 2. Therefore, 4 lies opposite 2 i.e. at the bottom face of dice (i).

  6. Question 6 of 20
    6. Question

    Directions (Qs. 5 – 9) : Following questions are based on the figures given below which represent different positions of the same dice.
    16851.png
    Which number lies at the bottom face of the dice (iii)?

    Hint

    Since 2, 3, 6 and 4 are adjacent to 1. Therefore, 5 lies opposite 1. Hence, 1 lies at the bottom face of dice (iii).

  7. Question 7 of 20
    7. Question

    Directions (Qs. 5 – 9) : Following questions are based on the figures given below which represent different positions of the same dice.
    16851.png
    Which number lies opposite 6?

    Hint

    Since 1, 4, 2 and 5 are adjacent to 6. Therefore, 3 lies opposite 6.

  8. Question 8 of 20
    8. Question

    Directions (Qs. 5 – 9) : Following questions are based on the figures given below which represent different positions of the same dice.
    16851.png
    Which of the following combinations shows the numbers at the adjacent surfaces of the number 4?

    Hint

    16550.png
    Hence, 1, 5, 3 and 6 are adjacent to 4.

  9. Question 9 of 20
    9. Question

    Directions (Qs. 5 – 9) : Following questions are based on the figures given below which represent different positions of the same dice.
    16851.png
    Which of the following numbers does not appear on any one of the adjacent surfaces of the number 3?

    Hint

    From the figure in previous solution, 6 is not adjacent to 3.

  10. Question 10 of 20
    10. Question

    Two positions of a dice are shown, when 4 is at the bottom, what number will be on the top?
    16386.png

    Hint

    From the two figures it is clear that the numbers 2, 3, 5 and 6 cannot appear opposite 1. So, 4 appears opposite 1. Therefore, when 4 is at the bottom, 1 will be on the top.

  11. Question 11 of 20
    11. Question

    What should be the number opposite 3?
    16380.png

    Hint

    From the three given figures, it is clear that the 1, 2, 5 and 4 appear adjacent to 3, so none of these can appear opposite 3. Therefore, 6 appears opposite 3.

  12. Question 12 of 20
    12. Question

    On the basis of two positions of dice, find what number will be on the opposite face of number 5 ?
    16368.png

    Hint

    Common number i.e. 3 to both the dice is placed on the central position of the figure. Now place the numbers in the anti-clock wise direction in block I, II, III and IV respectively. Remaining number i.e. 2 will come in the block V. Hence number 4 is opposite to number 5.
    16167.png

  13. Question 13 of 20
    13. Question

    Directions (Qs.13–14): Three positions of the same dice are given below. Find which number will come in place of the Question mark ‘?’.
    16362.png

    Hint

    16161.png
    Hence, the numbers that are adjacent to 1 are 5, 2, 6 and 3.
    ∴ 3 will come in place of ‘?’.

  14. Question 14 of 20
    14. Question

    Directions (Qs.13–14): Three positions of the same dice are given below. Which number lies at the bottom face of the dice (iii)?
    16362.png

    Hint

    16161.png
    From (i) and (ii): 3, 4, 5 and 1 are adjacent to 2.
    From (ii) and (iii): 2, 5, 6, and 3 are adjacent to 1
    Hence, number 4 lies at the bottom face of number 1.

  15. Question 15 of 20
    15. Question

    Select from the alternative, the box that can be formed by folding the sheet shown in figure given below:
    16350.png(A) 16344.png (B) 16338.png (C) 16331.png (D) 16325.png

    Hint

    When the sheet shown in fig. is folded to from a cube, then the face bearing the dot lies opposite to the shaded face, the face bearing a circle (With ‘+’ sign inside it) lies opposite to a blank face and the remaining two blank faces lie opposite to each other. Clearly, the cubes shown in figures (B) and (D) cannot be formed since they have the shaded face adjacent to the face bearing a dot and the cube shown in fig. (C) cannot be formed since it shown all the three blank face adjacent to each other. Hence, only the cube shown in fig.(A) can be formed.

  16. Question 16 of 20
    16. Question

    Select from the alternative, the box that can be formed by folding the sheet shown in figure given below:
    16319.png(A) 16313.png (B) 16307.png (C) 16301.png (D) 16295.png

    Hint

    When the sheet shown in fig. is folded to form a cube , then ‘F’ appears opposite ‘C’ and ‘A’ appears opposite ‘D’. Therefore, the cube in fig. (A) which shows ‘F’ adjacent to ‘B’, the cube in fig.(C) which shows ‘E’ adjacent to ‘C’ and the cube in fig. (D) which shows ‘A’ adjacent to ‘D’ cannot be formed.

  17. Question 17 of 20
    17. Question

    How many dots are their on the dice face opposite the one with three dots ?
    16289.png16283.png 16276.png16269.png

    Hint

    From figure (i) (ii) and (iv), we conclude that 6, 4, 1 and 2 dots appear adjacent to 3 dots. Clearly, there will be 5 dots on the face opposite the face with 3 dots.

  18. Question 18 of 20
    18. Question

    When the following figure is folded form a cube, how many dots would lie opposite the face bearing five dots ?
    16263.png

    Hint

    When this figure is folded to form a cube then the face bearing three dots will lie opposite the face bearing five dots.

  19. Question 19 of 20
    19. Question

    Which number is on the opposite face of 4, if the four different positions of a dice are as shown in the figures given below.
    16257.png 16250.png 16244.png 16238.png

    Hint

    From figure (i) (ii) and (iv), we conclude that 6, 5, 2 and 3 appear adjacent to 4. Clearly, 1 will be opposite the face of 4.

  20. Question 20 of 20
    20. Question

    Count the number of cubes in the given figure
    16570.png

    Hint

    Clearly, in the figure there are –1 column containing
    3 cubes, 2 columns containing 2 cubes each and 3 columns containing 1 cube each.
    Number of cubes in columns of 3 cubes = 1 × 3 = 3;
    Number of cubes in columns of 2 cubes = 2 × 2 = 4;
    Number of cubes in columns of 1 cubes = 3 × 1 = 3;
    Therefore, total number of cubes = 3 + 4 + 3 = 10.

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