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


  • Options
  • A. 341
  • B. 244
  • C. 342
  • D. None of these

  • Correct Answer
  • 341 

    Explanation

    Out of 6 faces of 4 faces are exposed and those were painted.
    Number of vertices with three faces exposed (Painted) is 2
    Number of vertices with 2 faces exposed (Painted) is 4
    Number of vertices with 1 faces exposed (Painted) is 2
    Number of vertices with 0 faces exposed (Painted) is 0
    Number of sides with 2 sides exposed (Painted) is 5
    Number of sides with 1 sides exposed (Painted) is 6
    Number of sides with no sides exposed (Painted) is 1
    From the above observation:
    Number of cubes with 3 faces Painted is 2
    Number of cubes with 2 faces Painted is given by sides which is exposed from two sides and required number of cubes is 6 x 4 + 1 x 5 = 29 since there are 4 edges will give us 6 cubes from 1 edge and 1 edge (between two vertices which are painted or exposed from 3 sides) will give us only 5 cubes.
    Number of cubes with 1 face Painted is given by faces which is exposed from one sides and required number of cubes is 36 x 2 + 30 x 2 = 132
    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 - 2 - 29 - 132 = 180
    In other words number of cubes with 0 painted is 6 x 6 x 5 =180
    From the above explanation number of the cubes with at most 2 faces painted is
    180 + 132 + 29 = 341.
    Or else 343 - 2 = 341


  • More questions

    • 1. Complete the series of question figures, by selecting correct answer figure from the given answer figures:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. Find the question mark ? figure from answer figure:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 3. Find out the answer for the question mark that completes the series from the Answer Figures:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 4. 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
    • 5. Find the missing of the series from the given answer figures:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 6. Find out the next series from the answer figures (1, 2, 3, 4, 5) that follows the sequence of the questions figures:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. Find the missing figure of the series from the given responses:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. Find the missing of the series from the given answer figures :

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. Find out the answer for the question mark that completes the series from the Answer Figures:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 10. Which figure will come next in the series from the given alternatives?:

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


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