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

    Two positions of a dice are shown below. When number 1 is on the top, what number will be at the bot


  • Options
  • A. 2
  • B. 3
  • C. 5
  • D. Cannot be determined

  • Correct Answer


  • Explanation
    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 top face (i.e. face V as per activity 1) and the number 4 in fig. (ii) moves to the FR-RH face (i.e. face I) as in fig. (i), then 5 will move to the RR-RH face (i.e. face II). Clearly, 5 (which lies on face II) and 1 (which lies on face IV) will be opposite to each other. So, when 1 is on the top, then 5 will be at the bottom.

  • Cubes and Dice problems


    Search Results


    • 1. A dice is numbered from 1 to 6 in different ways.

      If 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?


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

      If 1 is opposite to 5 and 2 is opposite to 3, then


    • Options
    • A. 4 is adjacent to 3 and 6
    • B. 2 is adjacent to 4 and 6
    • C. 4 is adjacent to 5 and 6
    • D. 6 is adjacent to 3 and 4
    • Discuss
    • 3. Two positions of a cube are shown below. When the number 4 will be at the bottom, then which number will be at the top?


    • Options
    • A. 3
    • B. 5
    • C. 6
    • D. Cannot be determined
    • Discuss
    • 4. Observe the dots on a dice (one to six dots) in the following figures. How many dots are contained on the face opposite to that containing four dots?


    • Options
    • A. 2
    • B. 3
    • C. 6
    • D. Cannot be determined
    • Discuss
    • 5. A dice is rolled twice and the two positions are shown in the figure below. What is the number of dots at the bottom face when the dice is in position (i)?


    • Options
    • A. 1
    • B. 5
    • C. 6
    • D. Cannot be determined
    • Discuss
    • 6. 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 arrow?


    • Options
    • A. Circle
    • B. Triangle
    • C. Dot
    • D. Cross
    • Discuss
    • 7. Select a suitable figure from the Answer Figures that would replace the question mark (?).

      Problem Figures:                            Answer Figures:
          (A)     (B)      (C)     (D)                  (1)      (2)      (3)      (4)      (5)


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • E. 5
    • Discuss
    • 8. Select a suitable figure from the Answer Figures that would replace the question mark (?).

      Problem Figures:                            Answer Figures:
          (A)     (B)      (C)     (D)                  (1)      (2)      (3)      (4)      (5)


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • E. 5
    • Discuss
    • 9. Select a suitable figure from the Answer Figures that would replace the question mark (?).

      Problem Figures:                            Answer Figures:
          (A)     (B)      (C)     (D)                  (1)      (2)      (3)      (4)      (5)


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • E. 5
    • Discuss
    • 10. Select a suitable figure from the Answer Figures that would replace the question mark (?).

      Problem Figures:                            Answer Figures:
          (A)     (B)      (C)     (D)                  (1)      (2)      (3)      (4)      (5)


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • E. 5
    • Discuss


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