Page 249 - Services Selection Board (SSB) Interviews

Cubes 245
38. How many cubes are painted with red or blue but (a) only (i) & (ii) (b) Only (ii) & (iii)
not green? (c) all three (d) None of these
(a) 55or 65 (b) 72 or 66 44. If number of cubes painted on exactly one face with
(c) 55 or 60 (d) None of these colour 1 and colour 2 is 150, then how many cubes
39. Which of the following statement is correct are painted with only colour 4?
(i) At least 1 cube is painted with red, green and (a) 45 (b) 72
blue. (c) 18 (d) 75
(ii) At most 1 cube is painted with red, green and 45. Of all the removed cubes which one of the following
blue. could be the number of cubes with exactly 2face
(iii) At most 6 cubes are painted with red and green. painted after 3 steps?
(iv) At least 6 cubes are painted with red and green. (a) 112 (b) 114
(a) Only (i) & (iii) (b) Only (ii) & (iii) (c) 116 (d) 118
(c) Only (ii) & (iv) (d) None of these Direction (Qs. 46-50) : A big cube is painted with three
40. How many cubes are painted with red, blue, green colours red, green and blue such that each of the colour
and black? is on two faces. Now this cube is cut into 105 identical
(a) 8 (b) 2 cuboids.
(c) 1 (d) None of these 46. If number of cuboids with exactly 2 faces painted is
Direction (Qs. 41-45) : N^3 number of cubes of 44 then how many cubes are painted on exactly 1
similar size are arranged in the form of a bigger cube (N face.
cubes on each side, i. e. , N × N× N) and kept at the (a) 51 (b) 57
corner of a room, all the exposed surfaces are painted
with colour 1, then all the coloured smaller cubes are (c) 48 (d) None of these
removed and all the exposed surfaces are painted with 47. If number of cuboids with exactly 3 faces painted is 4
colour 2, then all the coloured smaller cubes are removed then how many cubes are painted on exactly 1 face.
and all the exposed surfaces are painted with colour 3, (a) 51 or 65 (b) 57 or 66
this process is repeated ‘K’ number of times. (c) 33 or 65 (d) None of these
41. If number of cubes painted with colour 3 is 217 then 48. If number of cuboids with exactly 2 faces painted is
how many cubes are painted with colour5 36 then how many cubes are painted on exactly 1
(a) 125 (b) 127 face.
(c) 64 (d) None of these (a) 46 or 65 (b) 57 or 66
th
42. If after 7 step number of cubes painted in exactly 2 (c) 33 or 65 (d) None of these
faces with colour 7 is 21, then what is the number of 49. If number of cuboids with exactly 1 face painted is 57
rd
cubes removed in 3 step. then how many cubes are painted on exactly 2faces.
(a) 469 (b) 455 (a) 46 (b) 57
(c) 433 (d) None of these (c) 44 (d) None of these
43. Which of the following can be the number of cubes 50. If number of cuboids with exactly 1 face painted is 44
3
removed from the original N number of cubes. then how many cubes are painted on exactly 2 faces.
(i) 37 (ii) 61 (a) 46 (b) 57
(iii) 98
(c) 44 (d) None of these