Mensuration Quantitative Aptitude Questions




Q1. A cylindrical jar, whose base has a radius of 15 cm, is filled with water upto a height of 20 cm. A solid iron spherical ball of radius 10 cm is dropped in the jar to submerge completely in water. Find the increase in the level of water (in cm).
(a) 5 (17/27)
(b) 5(5/7)
(c) 5(8/9)
(d) 5(25/27)

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Q2. A sphere of radius r has the same volume as that of a cone with a circular base of radius r. Find the height of the cone.
(a) 2r
(b) r/3
(c) 4r
(d) (2/3)r

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Q3. If the slant height of a right pyramid with square base is 4 metre and the total slant surface area of the pyramid is 12 square metre, then the ratio of total slant surface area and area of the base is:
(a) 16 : 3
(b) 24 : 5
(c) 32 : 9
(d) 12 : 3

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Q4. The length of each edge of a regular tetrahedron is 12 cm. The area (in sq. cm) of the total surface of the tetrahedron is 
(a) 288√3
(b) 144√2
(c) 108√3
(d) 144√3

Answer :

5.

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Q6. Base of a right pyramid is a square of side 10 cm. If the height of the pyramid is 12 cm, then its total surface area is:
(a) 360 cm2
(b) 400 cm2
(c) 460 cm2
(d) 260 cm2

Answer :
Q7. The base of a right prism is an equilateral triangle of side 8 cm and height of the prism is 10 cm. Then the volume of the prism is 
(a) 320 √3 cubic cm
(b) 160 √3 cubic cm
(c) 150 √3 cubic cm
(d) 300 √3 cubic cm

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Q8. A prism has the base a right angled triangle whose sides adjacent to the right angle are 10 cm and 12 cm long. The height of the prism is 20 cm long. The density of the material of the prism is 6 g/cu cm. The weight of the prism is 
(a) 3.4 kg
(b) 4.8 kg
(c) 6.4 kg
(d) 7.2 kg

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Q9. A conical cap has the base diameter 24 cm and height 16 cm. What is the cost of painting the surface of the cap at the rate of 70 paise per sq cm?
(a) Rs. 520
(b) Rs. 524
(c) Rs. 528
(d) Rs. 532

Answer :

 

Q10. The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2. If the total surface area of the right cylinder is 616 cm^2, then its volume is 
(a) 1632 cm^3
(b) 1078 cm^3
(c) 1232 cm^3
(d) 1848 cm^3

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Q11. The diameter of base of a right circular cone is 7 cm and slant height is 10 cm, then what is its lateral surface area?
(a) 110 sq cm
(b) 100 sq cm
(c) 70 sq cm
(d) 49 sq cm
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Q12. The volume of a right circular cone is 100 π cm^3 and its height is 12 cm. Find its slant height.
(a) 13 cm
(b) 16 cm
(c) 9 cm
(d) 26 cm

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Q13. If the volume of a right circular cone of height 9 cm is 48 π cm^3, then find the diameter of its base.
(a) 8 cm
(b) 4 cm
(c) 7 cm
(d) 11 cm

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Q14. In a temple a cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the piller at the rate of Rs. 10 per sq m.
(a) Rs. 50
(b) Rs. 68
(c) Rs. 98
(d) Rs. 55

 

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15.

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