Advanced Quant Quiz For SSC Exams

1.The radius of a circle is 13 cm and the length of one of its chords is 10 cm. Find the distance of chord from the centre.
(a) 8 cm  
(b) 10 cm  
(c) 9 cm 
(d) 12 cm

2. The value of y in the solution of the equation 2^(x+y) = 2^(x-y) = √8 is:
(a) 0
(b) 1/4
(c) 1/2
(d) 3/4

3.A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
(a)720
(b)900
(c)1200
(d)1800

4.A cube of edge 5 cm is cut into cubes of each edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to
(a)1 : 5
(b)1 : 25
(c)1 : 125
(d)1 : 625

5.The cost of painting the whole surface area of a cube at the rate of 13 paise per Sq.cm is Rs. 343.98. Then the volume of the cube is
(a)8500 cm^3
(b)9000 cm^3
(c)9250 cm^3
(d)9261 cm^3

6.How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
(a)5600
(b)6000
(c)6400
(d)7200

7.A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
(a)720
(b)900
(c)1200
(d)1800

8.The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is
(a)3 cm
(b)4 cm
(c)6 cm
(d)8 cm

9.An iron cubes of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5 the sides are
(a)10 cm, 50 cm
(b)20 cm, 100 cm
(c)40 cm, 200 cm
(d)None of these

10. A hemispherical tank of inner radius 7 m is completely filled with water. A pipe attached at the bottom of the tank is opened and the water is made to  completely flow into a cylindrical tank of base radius 7 m. The height to which the water level in the cylindrical tank rises is .
(a) 2 2/3 m   
(b) 3 1/3 m   
(c) 4 2/3 m   
(d) 5 1/3 m

ANSWER KEYS:

1.(d)

2.(a)

3.(c)

4.(b)

5.(d)

6.(c)

7.(c)

8.(c)

9.(b)

10.(c)