PE 2 - Cubes | LR - Cubes
Join our Telegram Group for CAT/MBA Preparation.
Answer the following questions based on the information given below.
A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then colored blue on the two larger faces and pink on the remaining, while the other is colored pink on two smaller adjacent faces and blue on the remaining. Each is then cut into 32 cubes of same size and mixed up.
How many cubes have only one colored face each?
- (a)
32
- (b)
8
- (c)
16
- (d)
0
Solution
Discuss
ReportWhat is the number of cubes with at least one pink face each?
- (a)
36
- (b)
32
- (c)
38
- (d)
48
How many cubes have two blue and one pink face on each?
- (a)
0
- (b)
8
- (c)
16
- (d)
4
How many cubes have no colored face at all?
How many cubes have each exactly one blue and exactly one pink colored face?
- (a)
0
- (b)
8
- (c)
16
- (d)
24
Answer the following questions based on the information given below.
125 small but identical cubes are labelled 1 to 125 and a larger cube is built by placing the cubes in an ascending order. In each horizontal layer the front row is laid first from left to right and then the cubes are laid in a similar pattern in the second row and so on. The bottom most layer is laid first and then the layer just above that and so on.
What is the sum of numbers that form the diagonal connecting the left bottom corner cube of front face to the right bottom cube of the rear face?
The sum of the numbers of the cubes forming diagonal from the bottom right of the front face of the larger cube to the top left corner of the rear face of the larger cube is:
What is the sum of the numbers of the cube in the vertical column which has its base as the fourth cube from the left in the row just behind the front row?