SSC CGL Quant Quiz For HEIGHT AND DISTANCE – 5 July 2016

 

1. A man is climbing a ladder which is inclined to the wall at an angle of 30°. If he ascends at a rate of 2 m/s, then he approaches the wall at the rate of

1.5 m/s
1 m/s
2 m/s
2.5 m/s
Solution:


2. P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is

25 m
45 m
30 m
40 m
Solution:

3. A tree is broken by the wind. If the top of the tree struck the ground at an angle of 30° and at a distance of 30 m from the root, then the height of the tree is

25√3 m
30√3 m
15√3 m
20√3 m
Solution:

4. A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is

72 m
60 m
65 m
70 m
Solution:

5. The tops of two poles of height 24 m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is

6 m
8√3 m
8 m
6√3 m
Solution:

6. If I is the in-centre of ∆ ABC and ∠A=60° , then the value of ∠BIC is

100°
120°
150°
110°
Solution:∠BIC=90°+A/2=90°+30°=120°

7. In an obtuse-angled triangle ABC, ∠A is the obtuse angle and O is orthocenter. If ∠BOC=54° then ∠BAC is

108°
126°
136°
116°
Solution:∠BAC=180°-∠BOC=180°-54°=126°

8. If the sides of a triangle are in the ratio 3:1 1/4 ∶3 1/4 , then the triangle is

obtuse triangle
Acute triangle
Right triangle
Equiangular triangle
Solution:

9. If the length of each of two equal sides of an isosceles triangle is 10 cm. and the adjacent angle is 45°, then the area of the triangle is

12√2 square cm
15√2 square cm
20√2 square cm
25√2 square cm
Solution:

 

10. For an equilateral triangle, the ratio of the in radius and the outer-radius is

1∶√2
1∶√3
1∶2
1∶3
Solution:


 

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