Non Verbal Reasoning Questions and Answers
A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces. Now the cube is cut into 216 smaller cubes of equal size.
Q. How many smaller cubes will have no surface painted?
ANSWER: 64
A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces. Now the cube is cut into 216 smaller cubes of equal size.
Q. How many smaller cubes have less than three surfaces painted?
ANSWER: 144
The figure given on the left hand side, in each problem, is folded to form a cube. Choose from amongst the alternatives (a), (b), (c), (d), and the cubes that are similar to the cube formed.
ANSWER: (b)
Which number is opposite to number 3?
ANSWER: 1
A solid cube of each side 8 cm, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm.
How many cubes have no face painted?
Cubes have no face painted = Inner Cubes (No Colour): We can find out the total number of cubes without any colour on any side (inner cube) with this formula: (X-2)^3
Implementation of formula: X = 4
(4-2)^3 = 2^3 = 8
A solid cube of each side 8 cm, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm.
How many cubes have only one face painted?
Cubes have only one face painted = Central cubes : In middle of faces & has only one coloured side.
We can find out the total number of cubes with singe colour on any side with this formula: 6(X-2)^2
Implementation of formula: X = 4
6(4-2)^2 = 6(2)^2 = 24
A solid cube of each side 8 cm, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm.
How many cubes have only two faces painted?
Cubes have only two faces painted = Middle Cubes: In middle of edges and have two coloured sides.
We can find out the total number of cubes with singe colour on any side with this formula: 12(X-2)
Implementation of formula: X = 4
12(4-2) = 12(2) = 24
A solid cube of each side 8 cm, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm.
How many cubes have only three faces painted?
Cubes have only three faces painted = Corner cubes : Cubes on corners and have three coloured sides.
A cube can have only 8 cut-corner cubes with colours on three sides. Hence answer will be always the same = 8.
A solid cube of each side 8 cm, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm.
How many cubes have three faces painted with different colours?
Cubes have three faces painted = Corner cubes : Cubes on corners and have three coloured sides.
A cube can have only 8 cut-corner cubes with colours on three sides. Hence answer will be always the same = 8.
A solid cube of each side 8 cm, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm.
How many cubes have two faces painted red and black and all other faces unpainted?
Cubes have two faces painted red and black and all other faces unpainted = 2+2 = 4
