Page 246 - Services Selection Board (SSB) Interviews

242 Cubes

1. ConCept AppliCAtor

1. If total number of cuts is 10 then find the minimum Direction (Qs. 11-15) : 343 cubes of similar size are
number of pieces that can be obtained. arranged in the form of a bigger cube (7 cubes on each
(a) 10 (b) 11 side, i. e. , 7 × 7 × 7) and kept at the corner of a room,
(c) 25 (d) None of these all the exposed surfaces are painted then:
2. If total number of cuts is 10 then find the maximum 11. How many of the cubes have 0 faces painted?
number of pieces that can be obtained. (a) 64 (b) 125
(a) 80 (b) 48 (c) 240 (d) None of these
(c) 120 (d) None of these 12. How many of the cubes have 2 faces painted?
(a) 14 (b) 18
3. If total number of cuts is 20 then find the ratio of
maximum and minimum number of pieces that can (c) 16 (d) None of these
be obtained. 13. How many of the cubes have at most faces painted?
(a) 448: 63 (b) 446:21 (a) 208 (b) 244
(c) 122:21 (d) None of these (c) 342 (d) None of these
4. If total number of pieces (Smaller cubes/cuboids) is 14. How many of the cubes have at least 2 faces painted?
45 then find the possible number of cuts. (a) 19 (b) 144
(a) 18 or 16 (b) 8 or 12 (c) 120 (d) None of these
(c) 12 or 18 (d) None of these 15. How many of the cubes have 3 faces painted?
(a) 0 (b) 3
5. Find the maximum number of cuts required to get
50 pieces. (c) 5 (d) None of these
(a) 50 (b) 51 Direction (Qs. 16-20) : 343 cubes of similar size are
(c) 49 (d) None of these arranged in the form of a bigger cube (7 cubes on each
side, i. e. , 7 × 7 × 7) and kept alongside an edge (or
6. Find the minimum number of cuts required to get side) of a room, all the exposed surfaces (in this case there
50 pieces. are 4) are painted.
(a) 10 (b) 11 16. How many of the cubes have 0 faces painted?
(c) 9 (d) None of these (a) 64 (b) 125

Direction (Qs. 7-10) : 216 cubes of similar size are (c) 240 (d) None of these
arranged in the form of a bigger cube (6 cubes on each 17. How many of the cubes have 2 faces painted?
side, i. e. , 6 × 6 × 6) all the exposed surfaces are painted. (a) 23 (b) 29
7. How many of the cubes have 0 faces painted? (c) 31 (d) None of these
(a) 64 (b) 125 18. How many of the cubes have at most faces painted?
(c) 27 (d) None of these (a) 341 (b) 244
8. How many of the cubes have 2 faces painted? (c) 342 (d) None of these
(a) 144 (b) 125 19. How many of the cubes have at least 2 faces painted?
(c) 96 (d) None of these (a) 31 (b) 44

9. How many of the cubes have at most faces painted? (c) 12 (d) None of these
(a) 208 (b) 144 20. How many of the cubes have 3 faces painted?
(c) 210 (d) None of these (a) 0
10. How many of the cubes have at least 2 faces painted? (b) 3
(a) 104 (b) 144 (c) 5
(c) 120 (d) None of these (d) None of these