Advanced Quantitative Aptitude Questions and Answers for SSC Exams - Quiz

1. If the sides of an equilateral triangle are increased by 20%, 30% and 50% respectively to form a new triangle, the increase in the perimeter of the equilateral triangle is 

(1) 25% 

(2) 33 1/3%

(3) 75%

(4) 100%

2. If the radius of a sphere is doubled, its volume becomes 

(1) double

(2) four times

(3) six times

(4) eight times

3. If each side of a rectangle is increased by 50%. Its area will be increased by 

(1)  50%

(2) 125%

(3) 100%

(4) 250%

4. The area of three adjacent faces of a cuboid are x, y, z square units respectively. If the volume of the cuboid be y cubic units, then the correct relation between v, x, y, z is 

(1) v^2 = xyz

(2) v^3 = xyz 

(3) v^2 = x^3 y^3 z^3

(4) v^3 = x^2 y^2 z^2

5. A right circular cylinder is formed by rolling a rectangular paper 12 cm long and 3 cm wide along its length. The radius of the base of the cylinder will be 

(1) 3/2π cm

(2) 6/π cm

(3) 9/2π cm

(4) 2π cm

6. The area of a triangular field, the lengths of whose sides are 50 m, 78 m and 112 m, is 

(1) 1600 m^2

(2) 1480 m^2

(3) 1680 m^2

(4) 3360〖 m〗^2

7. A cone of height 7 cm and base-radius 1 cm is carved out from a cuboidal block of wood of size 10 cm×5 cm×2 cm. In the process, the wood wasted will be (use π=22/7) 

(1) 92 2/3%

(2) 46 1/3%

(3) 53 2/3%

(4) 7 1/3%

8. A rectangular tank of length 10 m, breadth 5 m and depth 6 m is full of water. How much water must be taken out of the tank to reduce the level of water in the tank by one metre?

(1) 30 m^3

(2) 60 m^3

(3) 50 m^3

(4) 100 m^3

9. Some oil is filled in a right circular cylindrical vessel. The radius of the base of the vessel is 6 cm. Some iron balls, each of diameter 3 cm, are completely dipped into the oil. If the level of oil in the vessel rises by 2 cm, the number of iron balls dipped into the oil is 

(1) 16

(2) 8

(3) 32

(4) 4

10. The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. If they are increased by 100%, 200% and 200% respectively, then, compared to the original volume the increase in the volume of the cuboid will be 

(1) 5 times

(2) 18 times

(3) 12 times

(4) 17 times

Answers Key

1.(2)

2.(4)

3.(2)

4.(1)

5.(2)

6.(3)

7.(1)

8.(3)

9.(1)

10.(2)