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  • Question
  • Two positions of a block are shown below. When 2 is at the bottom, which number will be at the top?

    Two positions of a block are shown below. When 2 is at the bottom, which number will be at the top?


  • Options
  • A. 1
  • B. 4
  • C. 6
  • D. Cannot be determined

  • Correct Answer


  • Explanation
    Number 3 is common to the two positions of the block. We assume the block in fig. (ii) to be rotated so that 3 appears at the same position as in fig. (i) i.e. on RHS face (i.e. on face II as per activity 1) and the numbers 5 and 2 move to the faces hidden behind the numbers 4 and 6 respectively [in fig. (i)]. Thus, the combined figure will have 3 on RHS face (i.e. face II), 4 on the Front face (i.e. face I), 6 on the Top face (i.e. face V), 5 on the Rear face (i.e. face III) and 2 on the Bottom face (i.e. face VI). Clearly, when 2 is at the bottom; then 6 is at the top.

  • Cubes and Dice problems


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    • 1. Two positions of a dice are shown. When 4 is at the bottom, what number will be on the top?


    • Options
    • A. 1
    • B. 2
    • C. 5
    • D. 6
    • Discuss
    • 2. What is the opposite 3, if four different positions of dice are as shown below?


    • Options
    • A. 6
    • B. 4
    • C. 3
    • D. 2
    • Discuss
    • 3. Three different positions X, Y and Z of a dice are shown in the figures given below. Which number lies at the bottom face in position X?


    • Options
    • A. 2
    • B. 3
    • C. 6
    • D. Cannot be determined
    • Discuss
    • 4. The four different positions of dice are given below: Which number is on the face opposite 6?


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 5. Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?


    • Options
    • A. 12
    • B. 13
    • C. 15
    • D. Cannot be determined
    • Discuss
    • 6. Three different positions X, Y and Z of a dice are shown in the figures given below. Which number lies at the bottom face in position Y?


    • Options
    • A. 1
    • B. 2
    • C. 5
    • D. Cannot be determined
    • Discuss
    • 7. A dice is thrown four times and its four different positions are shown below. Find the number on the face opposite the face showing 2.


    • Options
    • A. 3
    • B. 4
    • C. 5
    • D. 6
    • Discuss
    • 8. Below are depicted the three different positions of a dice. Find the number of dots on the face opposite to the face with one dot.


    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 6
    • Discuss
    • 9. The six faces of a dice have been marked with alphabets A, B, C, D, E and F respectively. This dice is rolled down three times. The three positions are shown as:

      Find the alphabet opposite A.


    • Options
    • A. C
    • B. D
    • C. E
    • D. F
    • Discuss
    • 10. Two positions of a dice are shown below: When 2 is at the bottom, what number will be at the top?


    • Options
    • A. 6
    • B. 4
    • C. 1
    • D. 5
    • Discuss


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