What is the number of cubes with no face painted? 24 36 48 None of these For lea

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Home ‣ Non Verbal Reasoning ‣ Cubes and Dice See What Others Are Saying!

Question
What is the number of cubes with no face painted?
Options
A. 24
B. 36
C. 48
D. None of these

Correct Answer

24

Explanation

For least number of cuts 120 = 4 x 5 x 6 i.e number of cuts must be 3, 4 and 5 in three planes in this case number of cubes on a face is either 6 x 5 = 30 or 6 x 4 = 24 or 4 x 5 = 20 cubes . And number of cuboids on an edge is 4 or 5 or 6
Number of cuboids with no face painted is (4 - 2)(5 - 2)(6 - 2) = 2 x 3 x 4 = 24