QUANTITATIVE APTITUDE - MENSURATION SET 08

MENSURATION SET 08

1. A rectangle garden having length and breadth as 110 m and 65 m respectively has 2.5 m wide path around the sides inside the garden. Find the cost of gravelling the path at 50 paise per sq. metre.
A) Rs 420    B) Rs 325    C) Rs 425    D) Rs 405    E) Rs 375
 

2.    The cost of painting a triangular board at Rs 24.68 per m2 is Rs 33318. If the base of this board is thrice its height, find the height of the board.
A) 66 m        B) 75 m        C) 30 m        D) 90 m        E) 45 m
 

3.    The radius of a wheel of car is 70 cm. How many revolutions per minute the wheel will make in order to keep a speed of 66 km/hr?
A) 234        B) 272        C) 225        D) 300        E) 250
 

4.    The length and breadth of a rectangle are in the ratio 3 : 2. If the length is increased by 5 m keeping the breadth same, the new area of rectangle is 2600 m2. What is the breadth of the rectangle?
A) 30 m        B) 20 m        C) 32 m        D) Cannot be determined    E) None of these
 

5.    What will be the percentage increase in the surface area of the cube whose side is increased by 50%
A) 75%        B) 125%    C) 150%    D) 100%    E) 92%
 

6.    The radius of base and height of a cylinder are in the ratio 2 : 3. Find the total surface area of the cylinder if its volume is 12936 cm3.
A) 3080 cm^2        B) 2680 cm^2        C) 4940 cm^2   
D) 3280 cm^2        E) None of these
 

7.    The diameter and the height of a right circular cylinder are 11.2 cm and 21 cm respectively. The metal around its outer body is 0.4 cm thick. What is the volume of the metal?
A) 186.34 cm^3        B) 306.24 cm^3        C) 156.56 cm^3
D) 336.24 cm^3        E) None of these
 

8.    What is the volume of a right circular cone whose radius of base is 70 cm and curved surface area is 40040 cm2?
A) 839500 cm^3            B) 713400 cm^3            C) 862400 cm^3
D) 462320 cm^3            E) None of these
 

9.    Find the radius of each of the 8 spherical balls which are made from a solid sphere of radius 10 cm by melting it.
A) 12 cm            B) 8 cm                C) 20 cm
D) 5 cm                E) 15 cm
 

10.    The metal used in the cylinder having external radius 6 cm, height 15 cm and thickness 0.25 cm is to be cast from a cylinder of radius 1 cm. What is the approximate height of the cylinder from which casting is to be done?
A) 8 1/4 days            B) 8 3/4 days                C) 9 days
D) 10 3/4 days            E) 11 1/3 days

 

Answer Keys:
1. C
2. D
3. E
4. B
5. B
6. A
7. B
8. C
9. D
10. B