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Previous Year Mensuration Questions for SSC CGL/MTS/CPO Exams

Previous Year Mensuration Questions for SSC CGL/MTS/CPO Exams_40.1

Dear maths lovers, Let your practice begins in minuteness but ends in magnificence.It is impossible to study maths properly by just reading and listening. So, practise, practise & more practise. For that, we are providing here Quant Quiz of 15 Questions on Mensuration in accordance with the syllabus of SSC CGL.We have also provided Study Notes and quizzes on all the topics.

Q1. If the side of a cube is increased by 50%, find by what percentage the surface area of the cube is increased?
(a) 150%
(b) 200%
(c) 125%
(d) 350%

Q2. A banquet hall has the dimensions 30 m × 12 m × 5 m. Each person should get 8m³ of space. Find the number of persons who can be accommodated in this hall.
(a) 240
(b) 250
(c) 225
(d) 300

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Q5. A spherical metal ball of 6 cm radius is melted and recast into three spherical balls. The radii of two of these balls are 3 cm and 4 cm. What is the radius of the third ball?
(a) 4.5 cm
(b) 5 cm
(c) 6 cm
(d) 7 cm

Q6. If the diagonals of a rhombus are 10 cm and 24 cm respectively, then find its perimeter.
(a) 15 cm
(b) 60 cm
(c) 52 cm
(d) 68 cm

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Q8. A cylinder circumscribes a sphere. The ratio of their volume is
(a) 2: 1
(b) 3: 2
(c) 4: 3
(d) 6: 5

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Q12. A spherical ball was painted black. After getting painted, it was cut into 4 similar pieces. What is the ratio of the painted area to the non-painted area?
(a) 1: 1
(b) 1: 2
(c) 3: 1
(d) 3: 2

Q13. The volume of a sphere, a cube, a tetrahedron and an octahedron is same. Find for which of the following structures, it will have the maximum surface area?
(a) Sphere
(b) Cube
(c) Tetrahedron
(d) Octahedron

Q14. The ratio of diagonals of the two cubes is 3: 2. What is the ratio of the surface areas of these two cubes respectively?
(a) 27: 8
(b) 3: 2
(c) 9: 4
(d) 16: 9

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Solutions

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S13. Ans.(c)
Sol. If volumes are same, then which one of them has maximum side has maximum surface area. Therefore, the answer is Tetrahedron.

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