28. In a blueprint of a room, an architect has shown the height of the room as 33 cm. If the actual height of the room is 330 cm, then the scale used by her is
- (A) 1 : 11
- (B) 1 : 10
- (C) 1 : 100
- (D) 1 : 3
27. The dimensions of the model of a multistory building are 1.2 m × 75 cm × 2 m. If the scale factor is 1 : 30; find the actual dimensions of the building.
- (A) 23 m × 22.5 m × 60 m
- (B) 12m × 22.5 m × 60 m
- (C) 17 m × 22.5 m × 60 m
- (D) 36 m × 22.5 m × 60 m
26. A model of a ship is made to a scale of 1 : 250. What is the length of the ship, if the length of model is 1.6 m?
- (A) 410 m
- (B) 400 m
- (C) 405 m
- (D) 420 m
25. If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is
- (A) 32
- (B) 30
- (C) 8
- (D) 10
24. A polyhedron has 7 faces and 10 vertices. How many edges does the polyhedron have?
- (A) 13
- (B) 14
- (C) 15
- (D) 16
23. What is the number of vertices in a polyhedron which has 30 edges and 12 faces?
- (A) 21
- (B) 20
- (C) 19
- (D) 23
22. The distance between City A and City B on a map is given as 6 cm. If the scale represents 1 cm = 200 km, what is the actual distance between City A and City B?
- (A) 1210 km
- (B) 1200 km
- (C) 1290 km
- (D) 1230 km
21. Height of a building is 9 m and this building is represented by 9 cm on a map. What is the scale used for the map?
- (A) 1 : 21
- (B) 1 : 10
- (C) 1 : 100
- (D) 1 : 110
20. The scale on a map is 1 mm : 4 m. What is the distance on the map for an actual distance of 52 m?
- (A) 12 mm
- (B) 13 mm
- (C) 14 mm
- (D) 15 mm
19. A polyhedron has 16 faces. The number of edges is 2¾ times the number of vertices. The number of edges of the polyhedron is
- (A) 18
- (B) 16
- (C) 24
- (D) None of these
18. A polyhedron has 32 vertices. The number of faces is 1/6 times the number of edges. The number of faces of the polyhedron is
- (A) 8
- (B) 6
- (C) 4
- (D) 5
17. A polyhedron has 20 edges. The number of vertices is 1¾ times the number of faces. The number of vertices of the polyhedron is
- (A) 18
- (B) 16
- (C) 14
- (D) 15
16. In the given map, the distance between the places is shown using the scale 1 cm : 0.5 km. Then the actual distance (in km) between school and the book shop is
- (A) 1.25
- (B) 2.5
- (C) 2
- (D) 1.1
15. In the following figure, the ratio of the number of general stores and that of the ground is
- (A) 1 : 2
- (B) 2 : 1
- (C) 2 : 3
- (D) 3 : 2