Quantitative Aptitude Test 28

Quantitative Aptitude

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1. The ratio between the volume of a sphere and the volume of the circumscribing right cylinder is :

 
 
 
 
 

2. The diameter of a wheel is 63 cm. Distance travelled by the wheel in 100 revolutions is :

 
 
 
 
 

3. A cone of height 7 cm and base radius 3cm is carved from a rectangular block of wood 10 cm ´ 5 cm ´ 2 cm. The percentage of wood wasted is :

 
 
 
 

4. A hemispherical bowl of internal radius 9 cm contains water. This water is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bowl ?

 
 
 
 

5. From a solid sphere of radius 5 cm, a right circular cylindrical hole of radius 3 cm and its axis passing through the centre is removed. The total surface area of the remaining solid (in cm2) is

 
 
 
 
 

6. A garden of dimension 1.50m x 120m has two cross roads 2m wide. one parallel to the length and the other parallel to its breadth. What would be the cost of sweeping the roads at.Rs. 2 per square metre ?

 
 
 
 

7. If all the edges of a rectangular prism are doubled and its shape is left unchanged, then its volume becomes

 
 
 
 

8. A circular pipe is to be designed in such a way that water flowing through it at a velocity of 7m per min. is collected at its open end at the rate of 11 cubic metre per min. What should be the inner radius of the pipe ?

 
 
 
 

9. If the radii of the ends of a bucket 45cm high are 28cm and 7cm, determine its capacity.

 
 
 
 

10. A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% and on the other, he gained 10%. His gain or loss percent in the entire transaction was :

 
 
 
 

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