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Home Non Verbal Reasoning Cubes and Dice See What Others Are Saying!
  • Question
  • What is the number of small cubes with exactly one face painted?


  • Options
  • A. 36
  • B. 66
  • C. 42
  • D. 45

  • Correct Answer
  • 66 

    Explanation

    Initial total number of cubes = 343,
    Number of cubes removed = 27
    Smaller 27 cubes painted blue
    Exposed faces of original big cube (3 faces with 9 cube on each face i.e total 27 cubes) painted with black
    In original big cube number of faces with one colour is 3(6 -2)2 = 48 (here we have considered only 3 untouched of big cube)
    But here we have removed a cubes of the form of 3 x 3 x 3 and again put it back so out of three new exposed faces of big cube we will have 4 cubes in each face that is painted with one colour hence number of cubes from these three surfaces is 3 x 4 = 12
    Now consider out of 3 x 3 x 3 cubes we will have 6 cubes (one in each face ) which are painted only one face.
    Hence total number of cubes = 48 + 12 + 6 = 66


  • More questions

    • 1. Choose the alternative which is closely resembles the water-image of the given combination.

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. 
      Identify the two figures from the given figures which are identical:

    • Options
    • A. 1 - 3
    • B. 4 - 6
    • C. 2 - 4
    • D. 3 - 5
    • Discuss
    • 3. 
      Which answer figure will complete the pattern in the question figure?

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • 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. Find the number of triangles in the given figure.


    • Options
    • A. 11
    • B. 13
    • C. 15
    • D. 17
    • 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. Find the missig figure of the series from the given responses:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

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


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. 
      Four corners of a rectangular shaded paper are folded as shown in the figure. Find out from the alternative answers how the folded figure would look.

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 10. 
      A square sheet of paper is folded and punched as shown below. How will it look when opened?

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


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