Quant Quiz (Mensuration Based on study notes) SSC CGL Tier-II 2016

Q1. 1496 cm^3 of a metal is used to cast a pipe of length 28 cm. if the internal radius of the pipe is 8 cm, then the outer radius of the pipe is:
(a) 7 cm

(b) 9 cm
(c) 10 cm
(d) 12 cm

Q2. 2 cans have the same height equal to 21 m. One can is cylindrical, the diameter of whose base is 10 cm. The other can has square base of side 10 cm. What is the difference in between their capacities?  
(a) 350 cm^2
(b) 450 cm^2
(c) 250 cm^2
(d) None of these

Q3. A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be:  
(a) 1:√2
(b) √(2 ):1
(c) 1 : 2
(d) 2 : 1



Q4. The curved surface of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. The ratio of its diameter to its height is [use π=22/7]  
(a) 7 : 6
(b) 6 : 7
(c) 3 : 7
(d) 7 : 3

Q5. 12 spheres of the same size are made by melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is: 
(a) 2 cm
(b) 4 cm
(c) 3 cm
(d) √3 cm

Q6. A rectangular paper 11 cm by 8 cm can be exactly wrapped to cover the curved surface of a cylinder of height 8 cm. The volume of the cylinder is: 
(a) 6 cm^3
(b) 77 cm^3
(c) 88 cm^3
(d) 121 cm^3

Q7. The volumes of two spheres are in the ratio 8 : 27. The ratio of their surface areas is:  
(a) 4 : 9
(b) 2 : 3
(c) 4 : 5
(d) 5 : 6

Q8. The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:
(a) 27 : 20
(b) 20 : 27
(c) 9 : 4
(d) 4 : 9

Q9. The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km^2. Find out the height.  
(a) 2.2 km
(b) 2.4 km
(c) 3 km
(d) 3.11 km


Q10. The base of a conical tent is 19.2 m in diameter and the height of its vertex is 2.8 m. The area of the canvas required to put up such a tent (in m^2) (taking π=22/7)  is nearly: 
(a) 3017.1
(b) 3170
(c) 301.7
(d) 30.17

Q11. A room is 6 m long, 5 m broad and 4 m high. The maximum length of the rod that can be kept in the room is:  
(a) √61 m
(b) √16 m
(c) √36 m
(d) √77 m

Q12. Marbles of diameter 1.4 cm (spherical shape) are dropped into a cylindrical beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm. 
(a) 50
(b) 150
(c) 250
(d) 350

Q13. The height of the right pyramid whose area of the base is 30 m^2 and volume is 500 m^3, is: 
(a) 50 m
(b) 60 m
(c) 40 m
(d) 20 m

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