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LOGICAL REASONING

DIRECTIONS FOR QUESTIONS 1 TO 4: A cube is coloured black on all its faces. It is then cut into 64 smaller cubes

of equal size. The smaller cubes so obtained are now separated.

1. How many smaller cubes have no surface coloured?

a) 24 b) 16 c) 8 d) 10 e) None of these

2. How many smaller cubes will have at least two surfaces painted with black colour?

a) 4 b) 32 c) 18 d) 24 e) None of these

3. How many smaller cubes have two surfaces painted with black colour?

a) 24 b) 8 c) 12 d) 20 e) None of these

4. How many smaller cubes have only three surfaces painted with red colour?

a) 0 b) 24 c) 12 d) 8 e) None of these

DIRECTIONS FOR QUESTIONS 5 TO 10: A Cuboid of dimensions (6 cm* 4 cm* 1cm) is painted red on both the

surfaces of dimensions (4 cm* 1 cm), blue on the surfaces of dimensions (6 cm* 4 cm) and yellow on the surfaces of

dimensions(6 cm* 1cm). Now, the block is divided into various smaller cubes of side 1cm each. The smaller cubes so

obtained are separated.

5. How many cubes will have all three colours red, blue, and yellow each at least on one side?

a) 16 b) 12 c) 10 d) 8 e) 146. How many cubes will be formed?

a) 6 b) 12 c) 16 d) 24 e) 42

7. If cubes having only red as well as blue colour are removed, then how many cubes will be left?

a) 4 b) 8 c) 16 d) 20 e) 24

8. How many cubes will have four coloured sides and two sides without any colour?

a) 8 b) 4 c) 16 d) 10 e) 14

9. How many cubes will have no two sides with blue colour and remaining sides without any colour?

a) 12 b) 10 c) 8 d) 4 e) None of these

10. A 6 cm cube is cut into 2 cm small cube. How many small cubes can be obtained from this?

a) 108 b) 156 c)27 d) 64 e) None of these

DIRECTIONS FOR QUESTIONS 11 TO 15: A cube of 4 cm has been painted on its surfaces in such a way that two

opposite surfaces have been painted orange and two adjacent surfaces have been painted pink. Two remaining

surfaces have been left unpainted. Now, the cube is cut into smaller cubes of side 1 cm each.

11. How many cubes will have none of the sides painted?

a) 18 b) 16 c) 22 d) 8 e) None of these

12. How many cubes will have at least pink colour on its surfaces?

a) 20 b) 28 c) 22 d) 32 e) None of these

13. How many cubes will have at least orange colour on its surfaces?

a) 20 b) 22 c) 28 d) 32 e) Cannot be determined

14. How many cubes will have only two surfaces painted with pink and orange colours, respectively?

a) 8 b) 12 c) 24 d) 30 e) None of these

15. How many cubes will have three surfaces coloured?

a) 3 b) 4 c) 2 d) 16 e) Cannot be determined

DIRECTIONS FOR QUESTIONS 16 TO 18: A cube is coloured red on two opposite faces, blue on two adjacent

faces and green on two remaining faces. It is then cut into two halves along the plane parallel to the red faces. One

piece is then cut into four equal cubes and the other one into 32 equal cubes.

16. How many cubes will not have any coloured faces?

a) 0 b) 4 c) 16 d) 8 e) Cannot be determined

17. How many cubes will not have any blue faces?

a) 8 b) 16 c) 20 d) 24 e) None of these

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18. How many cubes will have at least two coloured faces?

a) 20 b) 24 c) 28 d) 32 e) None of these