Advanced Quant Quiz For SSC Mains And SSC CHSL Exam

Dear Readers,

Here we are providing advance math quiz based on Heights and Distances,which is very helpful upcoming SSC CHSL and SSC CGL TIER-II exam 2015.

1. The ratio of the length of a rod and its shadow is 1 : √3. The angle of elevation of the sun is :

(a) 30⁰

(b) 45⁰

(c) 60⁰

(d) 90⁰

2. The angle of elevation of a moon when the length of the shadow of a pole is equal to its height, is

(a) 30⁰

(b) 45⁰

(c) 60⁰

(d) 90⁰

3.If the length of shadow of a pole on a level ground is twice the length of that pole, the angle of elevation of the sun is :

(a) 30⁰

(b) 45⁰

(c) 60⁰

(d) None

4. The angle of elevation of a tower from a distance 100 m from its foot is 30⁰. Height of the tower is :

(a) 100√3 m

(b) 100/√3 m

(c) 50√3 m

(d) 200/√3 m

5. The altitude of the sun at any instant is 60⁰. The height of the vertical pole that will cast a shadow of 30 m is :

(a) 30√3 )m

(b) 15 m

(c) 30/√3 m

(d) 15√2 m

6. When the sun is 30⁰ above the horizontal, the length of shadow cast by a building 50 m high is :

(a) 50/√3 m

(b) 50√3 m

(c) 25 m 

(d) 25√3 m

7. If the elevation of the sun changed from 30⁰ to 60⁰, then the difference between the lengths of shadows of a pole 15 m high, made at these two positions, is : 

(a) 7.5 m

(b) 15 m

(c) 10√3 m

(d) 15/√3 m

8. In a rectangle, if the angle between a diagonal and a side is 30⁰ and the length of diagonal is 6 cm, the area of the rectangle is :

(a) 9 cm^2

(b) 9 √3 cm^2

(c) 27 cm^2

(d) 36 cm^2

9. The angles of elevation of an aeroplane flying vertically above the ground as observed from two consecutive stones 1 km apart are 45⁰ and 60⁰. The height of the aeroplane above the ground in km is : 

(a) (√3+1)/2

(b) (3+√3)/2

(c) 3+√3

(d) √3+1

10. On the level ground, the angle of elevation of a tower is 30⁰. On moving 20 m nearer, the angle of elevation is 60⁰. The height of the tower is :

(a) 10 m

(b) 10√3 m

(c) 15 m 

(d) 20 m

Note : Answers will be updated soon...............