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Dice Test - 8

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Dice Test - 8
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  • Question 1
    1 / -0
    Directions: In the following question, four orientations of the same dice have been shown. You have to see these figures and answer the question that follows.



    Which of the following numbers is opposite to number 3?
    Solution
    From figures (i), (ii) and (iii), it is clear that numbers 5, 6, 1 and 2 are on the adjacent surfaces of number 3. Hence, number 4 is opposite to number 3.
  • Question 2
    1 / -0
    Directions: In the following question, four orientations of the same die have been shown. You have to see these figures and select the number opposite to the number given in the question.



    Which number is opposite to number 1?
    Solution
    The original orientation of the cube is as given.



    Now, the circle is rotated along the axis as shown through an angle of 90°.



    We get the orientation as shown.



    Now, the cube is rotated through an angle of 180° along the axis as shown.



    We get the cube in the orientation as shown below.



    This is the same as shown in fig (ii)
    Thus, 4 is opposite to 1.
    Hence, answer option 1 is correct.
  • Question 3
    1 / -0
    Directions: Four orientations of the same dice have been shown below. You have to see these figures and select the number opposite to the number asked in the question.



    Which number is opposite to number 5?
    Solution
    From figures (i), (iii) and (iv), it is clear that the numbers adjacent to 5 are 3, 4, 2 and 6. Hence, number 1 will be opposite to number 5.
  • Question 4
    1 / -0
    Directions: Four orientations of the same dice have been shown below. Analyse these figures and answer the question that follows.



    Which number is opposite to number 2?
    Solution
    Figures (i), (ii) and (iii) show that numbers 6, 3, 4 and 5 appear on the adjacent surfaces of number 2.
    Hence, number 1 will be opposite to number 2.
  • Question 5
    1 / -0
    Directions: In the following question, four positions of the same dice have been shown.



    Which of the following numbers is opposite to number 5?
    Solution
    Figures (i), (ii) and (iv) show that number 2, 3, 4 and 6 appear on the adjacent surfaces of number 1. Hence, number 1 will be opposite to number 5.
  • Question 6
    1 / -0
    How many dots are there on the dice-face opposite to the one with three dots?

    Solution
    From figure (i) and (iii) by rotation it is clear that five dots are there on the dice-face opposite to the one with three dots
    From figure (i) and (iii) as top face of both the figures have four dots and in figure (i) face having three dots is just right to the face having six dots and in figure (iii) face having five dots is just left to the face having six dots.
    So five dots are there on the dice-face opposite to the one with three dots.
  • Question 7
    1 / -0
    Two different orientations of a die are shown



    How many dots are there on the face which is at the top when the face with 1 dot is touching the bottom.?
    Solution
    By visualisation and imagination, it can be deduced that the face with 1 dot is opposite the face with 6 dots. Hence, answer option 3 is correct.
  • Question 8
    1 / -0
    Directions: Two orientations of a die are shown below:



    Which digit will be at the bottom if 5 is at the top?
    Solution
    Both the orientations of the die suggest that the digit 4, 1, 3, or 6 cannot be opposite to 2 as they lie on the adjacent faces. Hence, the digit 5 will lie opposite to the digit 2.

  • Question 9
    1 / -0
    Four usual dice are thrown on the ground. The total of the numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5. What is the total of the numbers on the faces touching the ground?
    Solution
    In a usual dice, the sum of the numbers on any two opposite faces is always 7. Thus, 1 is opposite 6, 2 is opposite 5 and 3 is opposite 4.
    Consequently, when 4, 3, 1 and 5 are the numbers on the top faces, then 3, 4, 6 and 2 respectively are the numbers on the faces touching the ground.
    The total of these numbers = 3 + 4 + 6 + 2 = 15
  • Question 10
    1 / -0
    Two orientations of a dice are shown below. What is the number of dots on the face opposite to the face that contains 2 dots?

    Solution
    From the unfolded figure of the dice, we see that number 1 will appear on the surface opposite to the surface bearing number 2.

  • Question 11
    1 / -0
    If the total number of dots on opposite faces of a dice is always 7, then which of the following figures is/are correct?

    Solution
    Given that the total number of dots on opposite faces of a dice is always 7. Therefore, 1 dot appears opposite 6 dots, 2 dots appear opposite 5 dots and 3 dots appear opposite 4 dots.
    Figures (c) and (d) are incorrect as 3 dots cannot appear adjacent to 4 dots [as in figure (c)] and 2 dots cannot appear adjacent to 5 dots [as in figure (d)].
    Hence, figures (a) and (b) are correct.
  • Question 12
    1 / -0
    When number 1 is at the top, which number will be at the bottom?

    Solution
    Using the method as mentioned in the previous question, the number occupy the positions as shown in the figure. Hence, number 6 will be opposite to number 1.

  • Question 13
    1 / -0
    Two positions of the same dice, whose each surface bears a number among 1, 2, 3, 4, 5 and 6, are given below:



    Which number is opposite to 3?
    Solution
    From figure (i) and (ii), we conclude that 2, 6, 1 and 4 appear adjacent to 5. Therefore, 3 must appear opposite 5. Conversely, the number opposite 3 is 5.
  • Question 14
    1 / -0
    Two orientations of a die are shown below. Which symbol will appear on the face opposite to symbol '×'?

    Solution
    Symbols appearing on different faces of the die are shown below. From the net, it is clear that O will appear on the face opposite to ×.

  • Question 15
    1 / -0
    Two different positions of a dice are shown below. How many dots are there on the face opposite to that containing four dots?

    Solution
    From figures (i) and (ii), we conclude that 2, 5 and 4 dots appear adjacent to 1 dot. Clearly, there will be 2 dots on the face opposite to the face with 4 dots.
  • Question 16
    1 / -0
    Three positions of the same dice are given below. Observe the figures carefully and tell which number will come in place of (?)?

    Solution
    From the figure, we see that number 4 has number 5, 3, 1 and 2 on the adjacent surfaces and number 6 opposite to it. Comparing the position of dice number (iii) with this figure, we observe that number 1 will replace (?).

  • Question 17
    1 / -0
    Two positions of a dice are shown below. Identify the number at the bottom, when number at the top is `3`.

    Solution
    The number 6 is common to both the positions of the dice. We assume the dice in figure (ii) to be rotated so that 6 remains on the FR-LH face (i.e. on face IV as per activity I) and the numbers 1 and 3 move to the faces hidden behind 4 and 5 respectively [in figure (i)]. Then, 5 lies on FR-RH face (i.e. face I), lies on Top face (i.e. face V), 3 lies on RR-LH face (i.e. face III) and 1 lies on Bottom face (i.e. face VI). Thus, 3 lies opposite 5. Hence, when the top is 3, then the number at the bottom is 5.
  • Question 18
    1 / -0
    Which letter will come on the blank surface of the third cube?

    Solution
    From the figure, we observe that letters B and D are adjacent to the letter A and comparing the figure (iii) of the dice with this figure we see that letter D will come on the blank surface.

  • Question 19
    1 / -0
    Two orientations of a dice are shown below. When number 1 is on the top, what number will be at the bottom?

    Solution
    Number 6 is common to both the positions of the dice. We assume the dice in figure (ii) to be rotated so that 6 remains on the top face and the number 4 in figure (ii) moves to the FR-RH face as in figure (i), then 5 will move to the RR-RH face. Clearly 5 and I will be opposite to each other. So, when 1 is on the top, then 5 will be at the bottom.
  • Question 20
    1 / -0
    Two positions of a dice are shown below. When the number 4 will be at the bottom, which number will be at the top?

  • Question 21
    1 / -0
    Two orientations of a dice are given below. What will be the number at the bottom if 5 is at the top?

    Solution
    If 5 is at the top, then 2 must be at the bottom.
  • Question 22
    1 / -0
    Two positions of a dice are shown below. If there are two dots at the bottom, what will be the number of dots at the top?


    Solution
    Dot 1 is comman in both dice. Then we can write the position of number of dots as given below:
    1 - 3 - 5
    1 - 2 - 4
    From given above pattern two dot is at bottom, then there will be three dot at the top.
  • Question 23
    1 / -0
    Two different orientations of a dice are shown below. When 3 dots are on the top, how many number of dots will be at the bottom?

    Solution
    From figures (i) and (ii), 2 dots are common in both the orientations.
    Hence, we can write the pattern of dots taking 2 dots common in anti-clockwise as given below:
    2 - 5 - 1
    2 - 3 - 6
    Therefore, it is clear that 1 dot is opposite to 6 dots, 3 dots are opposite to 5 dots.
  • Question 24
    1 / -0
    Two orientations of a dice are shown below. Which number will be at the top when 2 is at the bottom?

    Solution
    Number 3 is common to the two orientations of the dice. We assume that the dice in figure (ii) rotates so that 3 appears at the same position as in figure (i), i.e. on the RHS face and the numbers 5 and 2 move to the faces hidden behind the numbers 4 and 6, respectively [in figure (i)]. Thus, the combined figure will have 3 on the RHS face, 4 on the front face, 6 on the top face, 5 on the rear face, and 2 on the bottom face. Clearly, when 2 is at the bottom, 6 will be at the top. Hence, answer option 3 is correct.
  • Question 25
    1 / -0
    In the dice as shown in the figure, b is adjacent to a and e, and c is adjacent to e and d. f is adjacent to b and c. When c is at the top, what will be at the bottom?

    Solution
    a, b, c and d are on adjacent faces in clockwise order. Hence, 'c' will be opposite to 'a'.
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