**Dear Readers,**

**We have started the 56 days Study Plan for IBPS PO Prelims. This study plan is to efficiently utilise time and hard work to channelise it towards smart work. From now quizzes on Bankersadda will be according to the given study plan and this will help you prepare important topics in limited time.**

**Today is DAY 24 of the study plan and in Quantitative Aptitude today’s chapter is Mensuration - Volume**

**Q1. A 3.3 m high room is half as long again as it is wide and its volume is 123 (3/4) m^3. Find out its length and breadth.**

(a) 7.5 m, 6 m

(b) 8 m, 5 m

(c) 7.5 m, 5 m

(d) 8.5 m, 5 m

(e) None of these

**Q2. 2 cubes have volumes in the ratio 1:27. The ratio of the area of the face of one to that of the other is:**

(a) 1 : 2

(b) 1 : 3

(c) 1 : 6

(d) 1 : 9

(e) None of these

**Q3. A cube of edge 3 cm of iron weighs 12 gm. What is the weight of a similar cube of iron whose edge is 12 cm?**

(a) 768 gm

(b) 678 gm

(c) 964 gm

(d) 864 gm

(e) None of these

**Q4. A cylindrical jar of diameter 24 cm contains water to a height of 30 cm. A spherical steel ball is dropped into the jar and the level of the water rises by 67.5 mm. The diameter of the ball is:**

(a) 16 cm

(b) 15 cm

(c) 20 cm

(d) 18 cm

(e) None of these

**Q5. If the radius of a sphere is doubled, then its volume is increased by:**

(a) 100%

(b) 200%

(c) 700%

(d) 800%

(e) None of these

**Q6. A ball of lead, 4 cm in diameter, is covered with gold. If the volume of the gold and lead are equal, then the thickness of gold is approximately [given∛2=1.259]**

(a) 5.038 cm

(b) 5.190 cm

(c) 1.038 cm

(d) 0.518 cm

(e) None of these

**Q7. A conical cup is filled with ice cream. The ice cream forms a hemispherical shape on its open top. The height of the hemispherical part is 7 cm. The radius of the hemispherical part equals the height of the cone. Then the volume of the ice cream is [π=22/7]**

(a) 1078 m^3

(b) 1708 m^3

(c) 7108 m^3

(d) 7180 m^3

(e) None of these

**Q8. Assume that a drop of water is spherical and its diameter is 1/10 of a centimeter. A conical glass has a height equal to the diameter of its rim. If 32,000 drops of water fill the glass completely, then the height of the glass (in cm) is:**

(a) 1

(b) 2

(c) 3

(d) 4

(e) None of these

**Q9. A rectangular block of metal has dimensions 21 cm, 77 cm and 24 cm. The block has been melted into a sphere. The radius of the sphere is (Take π=22/7)**

(a) 21 cm

(b) 7 cm

(c) 14 cm

(d) 28 cm

(e) None of these

**Q10. A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is evenly spread over the remaining area of the field. The level of the field raised is:**

(a) 12 cm

(b) 14 cm

(c) 16 cm

(d) 18 cm

(e) None of these

**Q11. A cylindrical can whose base horizontal and is of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put is:**

(a) 35/3 cm

(b) 17/3 cm

(c) 7/3 cm

(d) 14/3 cm

(e) None of these

**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 cm^2, its volume is:**

(a) 910 cm^2

(b) 920 cm^2

(c) 960 cm^2

(d) 980 cm^2

(e) None of these

**Q13. The height of a right circular cone and the radius of its circular base are 9 cm and 3 cm respectively. 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 cm^3. The radius of the upper circular surface of the frustum (taking π=22/7) is:**

(a) ∛12 cm

(b) ∛13 cm

(c) ∛6 cm

(d) ∛20 cm

(e) None of these

**Q14. The number of coins, each of radius 0.75 cm and thickness 0.2 cm, to be melted to make a right circular cylinder of height 8 cm and radius 3 cm, is:**

(a) 640

(b) 600

(c) 500

(d) 480

(e) None of these

**Q15. 3 spherical balls of radii 1 cm, 2 cm and 3 cm are melted to form a single spherical ball. In the process, the loss of material is 25%. The radius of the new ball is:**

(a) 6 cm

(b) 5 cm

(c) 3 cm

(d) 2 cm

(e) None of these

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