Page 248 - Services Selection Board (SSB) Interviews

244 Cubes
20. How many cubes with 3 facefacecoloured? 28. How many cubes are with two faces painted?
(a) 10 (b) 11 (a) 20 (b) 24
(c) 16 (d) 12 (c) 18 (d) 16
Direction (Qs. 21-25) : 343 Small unpainted cubes are 29. How many cubes are with one face painted?
arranged to form a large cube. All the six faces of the large (a) 34 (b) 24
cube are painted white. Now, a 3 × 3 cube, comprising (c) 28 (d) 16
27 small cubes, is removed out from one of the corners 30. How many cubes are with no face painted?
of the large cube. The 3 × 3 cube is now painted blue on (a) 34 (b) 24
all six faces, while all the three surfaces (each of which a (c) 28 (d) 27
is a 3 × 3 square) of the large cube exposed due to the
removal of the 3 × 3 cube are painted black. Then, the Directions (Qs. 31-35) : 343 cubes of similar size are
3 × 3 cube is put back in its original position in the large arranged in the form of a bigger cube (7 cubes on each
side, i. e. , 7 × 7 × 7). Its all the 6 faces are painted with
cube and the large cube is finally painted yellow on all the Green, Red and blue colour such that each colour is used
six faces.
on exactly 2 faces.
21. What is the number of small cubes which have 31. If ‘K’ represents the number of cubes painted with red
exactly three faces painted ? and blue but not green then which of the following
(a) 8 (b) 16 set represents the value of ‘K’ most appropriately?
(c) 18 (d) 19 (a) {10, 17, 20, 22} (b) {10, 20, 22}

22. What is the number of small cubes with exactly one (c) {10, 18, 22} (d) None of these
face painted ? 32. If ‘K’ represents the number of cubes painted with 3
(a) 36 (b) 66 different colours then what could be the value of ‘K’?
(c) 42 (d) 45 (a) 8 or 5 (b) 4 or 5
23. What is the number of small cube with no face (c) 2 or 8 (d) None of these
painted 33. If ‘K’ represents the number of cubes painted with red
(a) 40 (b) 18 and blue then which of the following set represents
(c) 20 (d) 14 the value of ‘K’ most appropriately?
24. How many cubes are painted with yellow and blue? (a) {112, 13, 24, 26} (b) {18, 14, 26, 28}
(a) 12 (b) 18 (c) {12, 14, 24, 28} (d) None of these
(c) 15 (d) 14 34. If ‘K’ represents the number of cubes painted with
25. How many cubes are painted two faces only one only red colour then what could be the value of ‘K’?
with yellow and one with blue? (a) 50 or55 (b) 45 or 50
(a) 12 (b) 11 (c) 45 or 55 (d) None of these
(c) 5 (d) 8 35. How many cubes are with only one colour on it?

Directions (Qs. 26-30) : 125 cubes of similar size are (a) 150 or155 (b) 150 or 175
arranged in the form of a bigger cube (5 cubes on each (c) 150 or 165 (d) None of these
side, i. e. , 5 × 5 × 5). All the small cubes lying on the Directions (Qs. 36-40) : 216 cubes of similar size are
edge of the top layer of the bigger cube are removed and arranged in the form of a bigger cube (6 cubes on each
also cubes lyingat the four corners of the bottom face side, i. e. , 6 × 6 × 6). Its all the 6 faces are painted with
are removed. All exposed faces of the block thus left are Green, Red, blue, black, white, orangecolours.
coloured red. 36. How many cubes are painted with red or blue?
26. How many small cubes are left in the block? (a) 60 or 72 (b) 66 or 72
(a) 20 (b) 93 (c) 62 or 72 (d) None of these
(c) 96 (d) 105 37. How many cubes are painted with red or blue or
27. How many cubes have three red faces each? green?
(a) 20 (b) 12 (a) 90 or 96 (b) 90 or 84
(c) 8 (d) 16 (c) 96 or 108 (d) None of these