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Thursday, August 23, 2012

Maths Test PET, Bank Sample Paper


 UCO Bank PO Maths Sample Paper
Mathematics Practice Quiz
1. The total area of sheet required to make an open cone of height 24 cm and radius 7
        cm is
(a) 470 cm2
(b) 450 cm2
(c) 425 cm2
(d) 550 cm2
Ans. (d)
2. The enrolment in a school increases from 1200 to 1254. Then the percentage increase in the enrolment is.
(a) 4.5%
(b) 5%
(c) 5.5%
(d) 6.0%
Ans. (a)
3. If the area of the base of a cone is 770 cm2 and the curved surface area is 814 cm2,
       then its volume is
(a)
(b)
(c)
(d)
Ans. (a)
4. If the selling price of 20 articles is the same as the cost price of 23 articles, then the profit percentage is
(a) 10%
(b) 15%
(c) 17%
(d) 20%
Ans. (b)
5. If the surface area of a sphere is 324π cm2 then its volume is
(a) 950 π cm3
(b) 972 π cm3
(c) 975 π cm3
(d) 980 π cm3
Ans. (b)

6. Two right circular cones of dimensions h = 4.1 cm, r = 2.1 cm and h = 4.3 cm,
         r = 2.1 cm are melted to form a sphere of radius
(a) 2.5 cm
(b) 2.7 cm
(c) 2.1 cm
(d) 2cm
Ans. (c)

7. If the radius of a sphere is doubled, then the volume of a sphere becomes
(a) doubled
(b) six times
(c) four times
(d) eight times
Ans. (d)
8. The list price of a video is Rs 10,500. If the rate of sales tax is 10%, then the total amount for purchasing the video is
(a) Rs 12,500
(b) Rs 11,550
(c) Rs 11,000
(d) Rs 12,000
Ans. (b)
9. From a right circular cylinder of radius 6 cm and height 11 cm, one hemisphere of
        the same radius is removed, then the volume of the remaining part is
(a) 792 cm3
(b) 892 cm3
(c) 992 cm3
(d) none of these
Ans. (a)
10. The production of scooters rose to 48,400 from 40,000. If rate of growth is 10%, then the time required is
(a) 4 years
(b) 3 years
(c) 2 years
(d) 5 years
Ans. (c)
 11. The volume of a solid in the form of a cylinder with hemispherical ends, whose
         extreme length is 23 cm and radius 3 cm is
(a) 594 cm3
(b) 694 cm3
(c) 794 cm3
(d) 894 cm3
Ans. (a)

12. If the diameter of a circle is increased by 200%, then its area is increased by
(a) 100%
(b) 200%
(c) 300%
(d) 800%
Ans. (d) 
13. If the curved surface area and volume of a cylinder are 264 m2 and 924 m3
        respectively, then the  height of the cylinder is
(a) 6 m
(b) 6.5 m
(c) 6.7 m
(d) 6.8 m
Ans. (a) 
14. The slant height of a right circular cone is 10 m and its height is 8 m, then the area
        of its curved surface is
(a) 80 π m2
(b) 60 π m2
(c) 65 π m2
(d) 70 π m2
Ans. (b)
 15. The volume of the cone whose vertical height is 8 m and the area of base 156 m2 is
(a) 416 m3         
(b) 415 m3         
(c) 312 m3         
(d) 468 m3           
Ans. (a)
 16. The total surface area of the cylindrical iron pillar surmounted by a cone of radius
        and height equal to that of the cylinder (r = 6 cm, h = 8 cm) is
(a) 190 π cm2
(b) 192 π cm2
(c) 195 π cm2
(d) 198 π cm2
Ans. (b) 
17. A circus tent is cylindrical to a height of 5 m and conical above it. If its diameter is
       140 m and the slant height of the cone is 60 m, then the total surface area of the
       canvas required is
(a) 1540 m2
(b) 3080 m2
(c) 4620 m2
(d) none of these
Ans. (d) 
18. The total surface area of a hemisphere of radius r is given by
(a) 2 π r2
(b) π r2
(c) 3 π r2
(d) 4 π r2
Ans. (c)
 19. If the area of the base of a right circular cone is 51 m2 and volume is 68 m3, then its
       vertical height is
(a) 3.5 m
(b) 4 m
(c) 4.5 m
(d) 5 m
Ans. (b) 
20. A right circular cylinder and a right circular cone, both having the same radius and
         height, then the ratio of their volumes is
(a) 2 : 1
(b) 3 : 1
(c) 1 : 2
(d) 1 : 3

21. If the height and radius of a cone are doubled, then the volume of the cone becomes
(a) 2 times
(b) 4 times
(c) 8 times
(d) 10 times
Ans. (c)


22. If two cones have their heights in the ratio 1 : 3 and radii 3 : 1, then the ratio of their
        volumes is
(a) 1 : 3
(b) 3 : 1
(c) 2 : 3
(d) 3 : 2
Ans. (b)

23. If the radius and height of a cone are in the ratio 5 : 12 and its volume is 314 cm3,
        then its slant height is
(a) 12 cm
(b) 10 cm
(c) 13 cm
(d) 15 cm
Ans. (c)


24. The number of cubes of unit side obtained from a cube of edge 8 units is
(a) 480
(b) 512
(c) 624
(d) 714
Ans. (b)


25. Three spheres of radii 6 cm, 8 cm and 10 cm are melted to form a sphere of radius
(a) 11cm
(b) 13cm
(c) 24 cm
(d) none
Ans. (d)

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