# IBPS PO Quantitative Aptitude 3- D Mensuration For Prelims: 15th February

Numerical Ability or Quantitative Aptitude Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Quantitative Aptitude quiz to help you practice with the best of latest pattern questions.

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**Q1. If the height of a cylinder is 4 times its base circumference, the volume of the cylinder in terms of its base circumference, c is**

**Q2. If the height of a given cone be doubled and radius of the base remains the same, the ratio of the volume of the given cone to that of the second cone will be**

2 : 1

1 : 8

1 : 2

8 : 1

1 : 4

**Q3. The numerical values of the volume and the area of the lateral surface of a right circular cone are equal. If the height of the cone be h and radius be r, the value of**

**is**

9/1

3/1

1/3

1/9

2/7

**Q4. A sphere of radius r is cut by a plane at a distance of h from its center, thereby breaking this sphere into two different pieces. The cumulative surface area of these two pieces is 25% more than that of the sphere. Find h.**

**Q5. Two right circular cylinders of equal volume have their heights in the ratio 1 : 2. The ratio of their radii is:**

**Q6. The radius of base and curved surface area of a right cylinder ‘r’ units and 4Ï€rh square units respectively. The height of the cylinder is:**

4h units

h/2 units

h units

2h units

3h units

**Q7.**

**Q8. The base of a right prism is a quadrilateral ABCD, given that AB = 9 cm, BC = 14 cm, CD = 13 cm, DA = 12 cm and ∠ DAB = 90°, If the volume of the prism be 2070 cm³, then the area of the lateral surface is**

720 cm³

810 cm²

1260 cm²

2070 cm²

1296 cm²

**Q9. If the slant height of a right pyramid with square base is 4 metre and the total slant surface of the pyramid is 12 square metre, then the ratio of total slant surface and area of the base is :**

16 : 3

24 : 5

32 : 9

12 : 3

9: 7

**Q10. The perimeter of the triangular base of a right prism is 15 cm and radius of the incircle of the triangular base is 3 cm. If the volume of the prism be 270 cm³ then the height of the prism is**

6 cm

7.5 cm

10 cm

12 cm

16 cm

**Q11. If the radii of the circular ends of a truncated conical bucket which is 45 cm high be 28 cm and 7 cm then the capacity of the bucket in cubic centimeter is (use Ï€=22/7)**

48510

45810

48150

48051

48015

**Q12. The radii of the base of two cylinders A and B are in the ratio 3 : 2 and their height in the ratio x : 1. If the volume of cylinder A is 3 times that of cylinder B, the value of x is**

4/3

2/3

3/4

3/2

3/4

**Q13. If the length of each side of a regular tetrahedron is 12 cm, then the volume of the tetrahedron is**

**Q14. The height of a circular cylinder is increased six times and the base area is decreased to one ninth of its value. The factor by which the lateral surface of the cylinder increases is**

2

1/2

2/3

3/2

4

**Q15.If the radius of a cylinder is decreased by 50% and the height is increased by 50% to form new cylinder, the volume will be decreased by**

0%

25%

62.5%

75%

45%

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