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Home Non Verbal Reasoning Cubes and Dice See What Others Are Saying!
  • Question
  • How many of the cubes have 2 faces painted?


  • Options
  • A. 23
  • B. 29
  • C. 44
  • D. None of these

  • Correct Answer
  • 44 

    Explanation

    Out of 6 faces of 5 faces are exposed and those were painted.
    Number of vertices with three faces exposed (Painted) is 4
    Number of vertices with 2 faces exposed (Painted) is 4
    Number of vertices with 1 faces exposed (Painted) is 0
    Number of vertices with 0 faces exposed (Painted) is 0
    Number of sides with 2 sides exposed (Painted) is 8
    Number of sides with 1 sides exposed (Painted) is 4
    Number of sides with no sides exposed (Painted) is 0
    From the above observation:
    Number of cubes with 3 faces Painted is 4
    Number of cubes with 2 faces Painted is given by sides which is exposed from two sides, out of 8 such edges 4 vertical edges will give us 6 cubes per edge and 4 edges from top surface will give us 5 such cubes from each edge and required number of cubes is 6 x 4 + 4 x 5 = 44.
    Number of cubes with 1 face Painted is given by faces which is exposed from one sides four vertical faces will give us 6 x 5 = 30 cubes per face and top face will give us 5 x 5 = 25 and required number of cubes is 30 x 4 + 25 x 1 = 145
    Number of cubes with 0 face Painted is given by difference between total number of cubes - number of cubes with at least 1 face painted = 343 - 4 - 44 - 145 = 150
    In other words number of cubes with 0 painted is 6 x 5 x 5 = 150
    From the above explanation number of the cubes with 0 faces painted is 150.
    From the above explanation number of the cubes with 2 faces painted is 44.


  • More questions

    • 1. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

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


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • E. 5
    • Discuss
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. 
      Choose the alternatives which is closely resembles the water image of the given combination.

    • Options
    • A. (a)
    • B. (b)
    • C. (c)
    • D. (d)
    • Discuss
    • 6. 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
    • 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. Identify the figure that completes the pattern.

           (X)                 (1)             (2)              (3)             (4)


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

      If 1 is opposite to 2 and adjacent to 3 and 4, then which of the following statements is necessarily true?


    • Options
    • A. 2 is adjacent to 6
    • B. 3 is adjacent to 4
    • C. 4 is opposite to 6
    • D. 3 is opposite to 5
    • Discuss


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