# IBPS PO Quantitative Aptitude 2- D Mensuration For Prelims: 14th 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.

**WATCH VIDEO SOLUTION HERE**

**Q1. The perimeter of a square is equal to twice the perimeter of a rectangle of length of 8 cm and breadth 7 cm. What is the circumference of a semicircle whose diameter is equal to the side of the square? (Rounded off to the two decimal places) (take π = 3.14 or 22/7)**

38.57 cms.

23.57 cms.

42.46 cms.

47.47 cms.

35.87 cms.

**Q2. The length of a rectangle is three fifth of the side of a square. The radius of a circle is equal to side of the square. The circumference of the circle is 132 cm. What is the area of the rectangle if the breadth of the rectangle is 8 cm?**

112.4 sq. cm

104.2 sq. cm

100.8 sq. cm

Cannot be determined

None of these

**Q3. The radius of a circle is three fifth of that of a sphere. The volume of the sphere is 4000π/3 m³. If ratio between area of a square and that of the circle is 14: 11, then what is the perimeter of the square (Use π = 22/7)**

64 m

52 m

48 m

32 m

40 m

**Q4. The radius of a circular field is equal to the side of a square field. If the difference between the perimeter of the circular field and that of the square field is 32m, what is the perimeter of the square field? (in meter)**

84

95

56

28

112

**Q5. A well with 21 meter diameter is dug 10m deep. Earth taken out of it, has been evenly spread all around it to a width of 14 m to form an embankment. The height (in meters) of the embankment is :**

**Q6. Each dimension in meters of a rectangular solid is an integer less than 17, the volume of the solid is 3120 cubic meter. If the height of the solid is 16m and length of the solid is 15 meter, what is the surface area (in sq. meter) of the solid?**

1826

1268

1395

1286

643

Solution:

Let dimensions of rectangular solid are ℓ, b & h metres respectively.

∴ 15 × 16 b = 3120

⇒ b = 13 m

∴ Surface area = 2 × (ℓb + bh + ℓh)

= 2 × (195 + 13 × 16 + 15 × 16)

= 1286 m²

∴ 15 × 16 b = 3120

⇒ b = 13 m

∴ Surface area = 2 × (ℓb + bh + ℓh)

= 2 × (195 + 13 × 16 + 15 × 16)

= 1286 m²

**Q7. The areas of three consecutive faces of a cuboid are 12 cm²,20cm² and 15 cm², then the volume (in cm³) of the cuboid is**

3600

100

80

60

120

**Q8. 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 [given ∛2 = 1.259] is approximately**

5.038 cm

5.190 cm

1.038 cm

0.518 cm

5.18 cm

**Q9. If the area of the base of a cone is 770 cm² and the area of the curved surface is 814 cm², then its volume (in cm³) is**

213√5

392√5

550√5

616√5

616√3

**Q10. The outer circumference of a 1 cm thick pipe is 44 cm. How much water will 7 cm of the pipe hold? (take π=22/7)**

1078 cm³

1792 cm³

303 cm³

792 cm³

972 cm³

**Q11. Two solid cylinders of radii 4 cm and 5 cm and lengths 6 cm and 4 cm, respectively are recast into cylindrical disc of thickness 1 cm. The radius of the disc is**

7 cm

14 cm

21 cm

28 cm

32 cm

**Q12. The diameter of the base of a cylindrical drum is 35 dm and the height is 24 dm. It is full of kerosene. How many rectangular tins each of size 25 cm × 22 cm × 35 cm can be filled with kerosene from the drum? (use π = 22/7)**

1200

1020

600

120

160

**Q13. A path of uniform width surrounds a circular park. The difference of internal and external circumferences of this circular path is 132 m. Its width is (take π = 22/7)**

22 m

20 m

21 m

24 m

26 m

**Q14. A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30 m/min, then the radius of the circular ground is (take π=22/7).**

10.5 m

3.5 m

5.5 m

7.5 m

8.5 m

**Q15. The area of a triangle is 216 cm² and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is**

6 cm

12 cm

36 cm

72 cm

24 cm

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