# Important Mensuration Questions For SSC CGL 2018 : 16th November 2018(Solutions)

Dear aspirants,

With the passing months, exam preparation for govt. exams viz. SSC CGL, SSC CHSL, SSC CPO, SSC JE, SSC MTS and other prominent competitive exams is required to ace your performance in these sought after govt job. based exams. And to make you provide with an extraordinary experience of learning via the best study content of ADDA247 Publication Books, we will be providing daily quizzes of all the four mandatory subjects let it be Quantitative Aptitude, English Language, Reasoning and General Awareness right away from ADDA247 Publication Best Books For all SSC Exams to facilitate you with our Publication Books’ efficiency encompassed with comprehensive study material subsumed with holistic notes, Practice Sets and Exercises.
Starting from today, the quizzes on SSCADDA for all SSC Exams will be based on ADDA247 Publication Books to make you experience a beneficial journey which drums up your efforts, preparation strategy and time managing skills. Quantitative aptitude holds its own importance in all SSC Exams and quantitative aptitude is its one significant part, considering the same, Arithmetic Quiz is all set to catalyze your preparation.

Q1. The height of a right circular cone and the radius of its circular base are respectively 9 cm and 3 cm. The cone is cut by a plane parallel to its base so as to divide it into two parts. The volume of the frustum (i.e., the lower part) of the cone is 44 cubic cm. The radius of the upper circular surface of the frustum (take π = 22/7) is:
(a) ∛12 cm
(b) ∛13 cm
(c) √13 cm
(d) ∛20 cm

Q2. A solid cylinder has total surface area of 462 sq. cm. Curved surface area is 1/3rd of its total surface area. The volume of the cylinder is:
(a) 530 cm³
(b) 536 cm³
(c) 539 cm³
(d) 545 cm³

Q3. A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of radius and height of its conical part is:
(a) 1 : 3
(b) 1 : 1
(c) √3 : 1
(d) 1 : √3

Q4. From a right circular cylinder of radius 10 cm and height 21 cm, a right circular cone of same base–radius is removed. If the volume of the remaining portion is 4400 cm³ then the height of the removed cone is: (take π = 22/7)
(a) 15 cm
(b) 18 cm
(c) 21 cm
(d) 24 cm

Q5. A right circular cylinder and a cone have equal base radius and equal heights. If their curved surfaces are in the ratio 8 : 5, then the radius of the base to the height are in the ratio:
(a) 2 : 3
(b) 4 : 3
(c) 3 : 4
(d) 3 : 2

Q6. The curved surface area of a cylindrical pillar is 264 sq.m. and its volume is 924 cu.m. The ratio of its diameter to height is:
(a) 3 : 7
(b) 7 : 3
(c) 6 : 7
(d) 7 : 6

Q7. There is a pyramid on a base which is a regular hexagon of side 2a cm. If every slant edge of this pyramid is of length 5a/2 cm, then the volume of this pyramid is:
(a) 3a³cm³
(b) 3√2a³cm³
(c) 3√3a³cm³
(d) 6a³cm³

Q8. The base of a right prism is an equilateral triangle of area 173 cm² and the volume of the prism is 10380 cm³. The area of the lateral surface of the prism is use (√3 = 1.73)
(a) 1200 cm²
(b) 2400 cm²
(c) 3600 cm²
(d) 4380 cm²

Q9. The height of a cone is 40 cm. The cone is cut parallel to its base such that the volume of the small cone is 1/64 of the cone. Find at which height from base the cone is cut?
(a) 20 cm
(b) 30 cm
(c) 25 cm
(d) 22.5 cm

Q10. A cube of side 8 metre is reduced 3 times in the ratio 2 : 1. The area of one face fo the reduced cube to that of the original cube is in the ratio:
(a) 1 : 4
(b) 1 : 8
(c) 1 : 16
(d) 1 : 64

Q11. The volume of the largest cylinder formed, when a rectangular sheet of paper of size 22 cm × 15 cm is rolled along its larger side, is (use π = 22/7):
(a) 288.75 cm³
(b) 577.50 cm³
(c) 866.25 cm³
(d) 1155.00 cm³

Q12. The height of a right prism with a square base is 15 cm. If the area of the total surfaces of the prism is 608 sq.cm, its volume is:
(a) 910 cm³
(b) 920 cm³
(c) 960 cm³
(d) 980 cm³

Q13. The internal radius and thickness of a hallow metallic pipe are 24 cm and 1 cm respectively. It is melted and recast into a solid-cylinder of equal length. The diameter of the solid cylinder will be:
(a) 7 cm
(b) 14 cm
(c) 16 cm
(d) 18 cm

Q14. The radius of the base of a right circular cone is doubled. To keep the volume fixed, the height of the cone will be
(a) One-fourth of the previous height
(b) 1/√2 times of the previous height
(c) half of the previous height
(d) one-third of the previous height

Q15. If a cube maximum possible volume is cut off from a solid sphere of diameter d, then the volume of the remaining (waste) material of the sphere would be equal to:
(a) d³/3 (π-d/2)
(b) d³/3 (π/2-1/√3)
(c) d²/4 (√2-π)
(d) None of these

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