Advanced Quantitative Aptitude For SSC CHSL and SSC CGL Exams

4. The curved surface of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. The ratio of its diameter to its height is [use π=22/7]

(1) 7∶6

(2) 6∶7

(3) 3∶7

(4) None of these

5. The area of a square and a rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 5 cm and the breadth is less than the length of the side of the square by 3 cm. The perimeter of the rectangle is:

(1) 17 cm

(2) 26 cm

(3) 30 cm

(4) 34 cm

6. The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:

(1) 27 : 20

(2) 20 : 27

(3) 9 : 4

(4) 4 : 9

7. A cuboidal water tank contains 216 litres of water. Its depth is 1/3 of its length and breadth is 1/2 of 1/3 of the difference between length and depth. The length of the tank is:

(1) 72 dm

(2) 18 dm

(3) 6 dm

(4) 2 dm

8. If the area of triangle with base 12 cm is equal to the area of a square with side 12 cm, then the altitude of the triangle is:

(1) 12 cm

(2) 24 cm

(3) 18 cm

(4) 36 cm

9. 12 spheres of the same size are made by melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is:

(1) 3 cm

(2) 4 cm

(3) 3 cm

(4) √3 cm

10. If the radius of a circle is increased by 50%. Its area is increased by:

(1) 125%

(2) 100%

(3) 75%

(4) 50%

Answer Key

1. (1)

2. (1)

3. (4)

4. (4)

5. (4)

6. (2)

7. (2)

8. (2)

9. (2)

10.(1)