Advanced Quant Quiz For SSC And FCI Exam

1. The altitude 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:

(a) 2/3      

(b) 1/2

(c) 3/2     

(d) 2

2. 2 cubic dm. of lead is to be drawn into a cylindrical wire 0.50 cm in diameter. The length of the wire is :

(a) 110 m      

(b) 124 m

(c) 112 m       

(d) 98 m

3. Two rectangular sheets of paper each 30 cm * 18 cm are made into two right circular cylinders, one by rolling the paper along its length and the other along the breadth. The ratio of the volumes of the two cylinders, thus formed, is:

(a) 2 : 1  

(b) 3 : 2

(c) 4 : 3   

(d) 5 : 3

4. Two cylindrical vessel with radii 15 cm & 10 cm and heights 35 cm & 15 cm respectively are filled with water. If this water is poured into a cylindrical vessel 15 cm in height, then the radius of the vessel is:

(a) 25 cm       

(b) 20 cm

(c) 17.5 cm      

(d) 18 cm

5. A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of the iron used is:

(a) 56372 cm^3    

(b) 58752 cm^3

(c) 54982 cm^3    

(d) 57636 cm^3

6. If 1 cubic cm of cast iron weighs 21 gms, then the weight of a cast iron pipe of length 1 m with a bore of 3 cm and in which the thickness of the metal is 1 cm, is:

(a) 21 kg        

(b) 24.2 Kg

(c) 26.4 kg     

(d) 18.6 kg

7. A circular pipe is to be designed in such a way that water flowing through it at a velocity of 7 m 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:

(a)  (2)^1/2 m 

(b)  2 m

(c)  1/2^1/2 m      

(d)  1/2 m

8. Given a solid cylinder of radius 10 cm and length 1000 cm, a cylindrical hole is made into it to obtain a cylindrical shell of uniform thickness and having volume equal to one-fourth of the original cylinder. The thickness of the cylindrical shell is :

(a)  5(5^1/2 - 2)cm   

(b) 10(2 - 3^1/2)  cm

(c) 5 cm      

(d) 5(2)^1/2 cm

9. The radius and height of a right circular cone are in the ratio of 5 : 12 and its volume is 2512 cm3. The slant height of the cone is: (take pie = 3.14)

(a) 14 cm       

(b) 16 cm

(c) 24 cm       

(d) 26 cm

10. How many metres of cloth 2.5 m wide will be required to make a conical tent whose base radius is 7 m and height is 24m?    

(a) 120 m      

(b) 180 m

(c) 220 m       

(d) 550 m