Dear students, you know QUANT is a scoring portion and every chapter is important. So, we are providing 15 questions of Mensuration 3D for Quant. Solve all these quizzes every day so that you can improve your accuracy and speed. We also provide miscellaneous QUANT QUESTIONS .So you can practice the chapter that takes more time to solve the QUESTIONS.
Q1. The ratio of the volume of a cube and the volume of the sphere that exactly fits in the cube is
(a) 2 : π
(b) π : 6
(c) 6 : π
(d) 8 : π
Q2. The base and the height of a right circular cylinder are 3.5 cm and 7.5 cm respectively. The ratio of the total surface area to the curved surface area of the cylinder will be
(a) 22 : 5
(b) 22 : 15
(c) 22 : 7
(d) 22 : 17
Q3. A spherical ball is formed by melting three spherical balls of radii 1 cm, 2 cm and 3 cm. During this process 25% of material is wasted. The radius of the new ball be
(a) 6 cm
(b) 5 cm
(c) 3 cm
(d) 2 cm
Q4. An area of 121 cm² is fenced from all sides by bending a wire in the form of a square. If the same wire is bent in the form of a circle, the area of the circle will be [Take π=22/7]
(a) 150 cm²
(b) 152 cm²
(c) 154 cm²
(d) 159 cm²
Q5. The ratio of the area of a sector of a circle and the area of the circle is 1 : 4. If the area of circle is 154 cm², the perimeter of the sector of the circle will be
(a) 20 cm
(b) 11 cm
(c) 36 cm
(d) 40 cm
Q6. The diagonal of a cube is 6 cm long. Its volume in cm³ is
(a) 18√3
(b) 24√3
(c) 28√3
(d) 30√3
Q7. A right circular cylinder circumscribing a hemisphere has been made in such a way that they have a common base. The ratio of their volumes is
(a) 1 : 3
(b) 1 : 2
(c) 2 : 3
(d) 3 : 4
Q8. The total surface area of a solid cylinder is 462 cm². The area of curved surface is 1/3 of the total surface area. The volume of cylinder is
(a) 530 cm³
(b) 536 cm³
(c) 539 cm³
(d) 545 cm³
Q9. The radii of bases of a cylinder and a cone are equal. If their curved surfaces areas are in the ratio of 8:5, the ratio of their radii and heights is
(a) 1 : 2
(b) 1 : 3
(c) 2 : 3
(d) 3 : 4
Q10. A semi circular sheet of metal whose diameter is 28 cm has been bent in the shape of conical bowl. The depth of the bowl is
(a) 11 cm
(b) 12 cm
(c) 13 cm
(d) 14 cm
Q11. A cone of same base and height as that of a solid cylinder whose height and radius of base are 10 cm and 6 cm respectively has been curved out from this cylinder. Thus the volume of the remaining solid is
(a) 240 π cm³
(b) 5280 cm³
(c) 620 π cm³
(d) 360 π cm³
Q12. The base of a right prism is a trapezium whose parallel sides are 8 cm and 14 cm long and the distance between them is 8 cm. If the volume of the prism is 1056 cm³, its height is
(a) 44 cm
(b) 16.5 cm
(c) 12 cm
(d) 10.56 cm
Q13. A play ground is rectangular in shape. In order to make this ground fit for games, Rs 1000 was spent at the rate of 25 paise per m². The width of the field is 50 m. If the length of the ground is increased by 20 m, the cost of making it suitable for game at the same rate in rupee will be
(a) 1,250
(b) 1,000
(c) 1,500
(d) 2,250
Q14. It has rained 2 cm at the land measuring one square kilometer. Considering that by collecting 50% of rain drops in a pond of dimension 100 m × 10 m, water level in the pond would have risen by
(a) 1 km
(b) 10 m
(c) 10 cm
(d) 1 m
Q15. The medians of a triangle are 9 cm, 12 cm and 15 cm long. The area of the triangle in cm² is
(a) 24
(b) 72
(c) 48
(d) 144
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