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  • Question
  • Two positions of a dice are shown below. Identify the number at the bottom when the top is '3'?

    Two positions of a dice are shown below. Identify the number at the bottom when the top is '3'? 2 4


  • Options
  • A. 2
  • B. 4
  • C. 5
  • D. 6

  • Correct Answer


  • Explanation
    The number 6 is common to both the positions of the dice. We assume the dice in fig. (ii) to be rotated so that 6 remains on the FR-LH face (i. e. on face IV as per activity 1) and the numbers 1 and 3 move to the faces hidden behind 4 and 5 respectively [in fig. (i)]. Then, 5 lies on FR-RH face (i.e. face I), 4 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.

  • Cubes and Dice problems


    Search Results


    • 1. Which number is on the face opposite 4, if the four different positions of a dice are as shown in the figure given below.


    • Options
    • A. 5
    • B. 3
    • C. 2
    • D. 1
    • Discuss
    • 2. Three different positions X, Y and Z of a dice are shown in the figures given below. Which number lies opposite 6?


    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 5
    • Discuss
    • 3. Two positions of a dice with 1 to 6 dots on its sides are shown below. If the dice is resting on the side with three dots, what will be number of dots on the side at the top?


    • Options
    • A. 1 or 5
    • B. 2
    • C. 3
    • D. 5
    • Discuss
    • 4. A dice is numbered from 1 to 6 in different ways.

      If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?


    • Options
    • A. 2 is opposite to 6
    • B. 1 is adjacent to 3
    • C. 3 is adjacent to 5
    • D. 3 is opposite to 5
    • Discuss
    • 5. Amongst the following figures, find the correct one, if it is known that the total number of dots on opposite faces of the cube shown is always 7.


    • Options
    • A. Fig.1
    • B. Fig.2
    • C. Fig.3
    • D. Fig.4
    • Discuss
    • 6. Two positions of a block are given below. When 1 is at the top, which number will be at the bottom?


    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 6
    • Discuss
    • 7. A cube has six different symbols drawn over its six faces. The symbols are dot, circle, triangle, square, cross and arrow. Three different positions of the cube are shown in figures X, Y, and Z.

      Which symbol is opposite the dot?


    • Options
    • A. Circle
    • B. Triangle
    • C. Arrow
    • D. Cross
    • Discuss
    • 8. If the total number of dots on opposite faces of a cubical block is always 7, find the figure which is correct.


    • Options
    • A. Fig.1
    • B. Fig.2
    • C. Fig.3
    • D. Fig.4
    • Discuss
    • 9. 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
    • 10. 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


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