# Quantitative Aptitude: Mensuration Set 2

- The parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 20 cm. Find the circumference of a semicircle (approx.) whose diameter is equal to the side of the square.

A) 32 cm

B) 22 cm

C) 30 cm

D) 27 cm

E) 19 cm

- There are two circles of different radius such that radius of the smaller circle is three – sevens that of the larger circle. A square whose area equals 3969 sq cm has its side as thrice the radius of the larger circle. What is the circumference of the smaller circle?

A) 59 cm

B) 56.5 cm

C) 49.5 cm

D) 65.5 cm

E) 62 cm

- A Birthday cap is in the form of a right circular cone which has base of radius as 9 cm and height equal to 12 cm. Find the approximate area of the sheet required to make 8 such caps.

A) 3225 cm^{2}

B) 3278 cm^{2}

C) 3132 cm^{2}

D) 3392 cm^{2}

E) 3045 cm^{2}

- The barrel of a fountain pen is cylindrical in shape which radius of base as 0.7 cm and is 5 cm long. One such barrel in the pen can be used to write 300 words. A barrel full of ink which has a capacity of 14 cu cm can be used to write how many words approximately?

A) 598

B) 656

C) 508

D) 545

E) 687

- A vessel is in the form of a hemi-spherical bowl on which is mounted a hollow cylinder. The diameter of the sphere is 14 cm and the total height of vessel is 15 cm, find the capacity of the vessel.

A) 1977.23 cm^{3}

B) 1999.45 cm^{3}

C) 1840.67 cm^{3}

D) 1950.67 cm^{3}

E) 1833.27 cm^{3}

- A car has wheels of diameter 70 m. How many revolutions can the wheel complete in 20 minutes if the car is travelling at a speed of 110 m/s?

A) 550

B) 580

C) 630

D) 640

E) 600

- A clock has its minute hand of length 7 cm. What area will it swept in covering 10 minutes?

A) 32.17 cm^{2}

B) 35.67 cm^{2}

C) 45.45 cm^{2}

D) 41.23 cm^{2}

E) None of these

- Find the area of shaded region (approximately) in the given figure if AB = 12 cm and BC = 9 cm with O being the centre of circle.

A) 40 cm cm

^{2}

B) 27 cm cm^{2}

C) 23 cm^{2}

D) 39 cm^{2}

E) 34 cm^{2}

- The diameters of the internal and external surfaces of a hollow spherical shell are 10cm and 6 cm respectively. If it is melted and recasted into a solid cylinder of length 8/3 cm, find the diameter of the cylinder.

A) 28√2 cm

B) 14√2 cm

C) 26√2 cm

D) 18√2 cm

E) 22√2 cm

- The radii of two cylinders are in the ratio 4 : 5 and their curved surface areas are in the ratio 3 : 5. What is the ratio of their volumes?

A) 11 : 24

B) 13 : 21

C) 7 : 19

D) 11 : 15

E) 12 : 25