# The angle of depression of two ship from the top of a light house are 45 degrees and 30 degrees towards east. If the ships are 200 metres apart, find the height of the light house.

1.  200 m

2.  200/√3 m

3.  200/ √3+1 m

4.  200/√3-1 m

4

200/√3-1 m

Explanation :
No Explanation available for this question

# A can beat B by 40 metres in a kilometre race; B can beat C by 50 metres in a kilometre race; if A and C run a kilometre, by how much distance will A win

1.  88 metres

2.  86 metres

3.  92 metres

4.  94 metres

4

88 metres

Explanation :
No Explanation available for this question

# In a 1 -kilometre race, A can beat B by 30 metres, while in a 500-metre race B can beat C by 25 metres. By how many metres will A beat C in a 100-metre race

1.   7.85

2.  7.25

3.  7.15

4.  7.03

4

7.85

Explanation :
No Explanation available for this question

# The volumes of a sphere and a right circular cylinder having the same radius are equal, The ratio of the diameter of the sphere to the height of the cylinder is

1.  3:2

2.  2:3

3.  1 : 2

4.  2 : 1

4

3:2

Explanation :
No Explanation available for this question

# A path of uniform width runs round the inside of a rectangular field 38 m long and 32 m wide. If the path occupies 600m2, then the width of the path is

1.  30 m

2.  5 m

3.  18.75 m

4.  10 m

4

5 m

Explanation :
No Explanation available for this question

# The area of the largest circle, that can be drawn inside a rectangle with sides 18 cm. by 14 cm, is

1.  49 cm2

2.  154 cm2

3.  378 cm2

4.  1078 cm2

4

154 cm2

Explanation :
No Explanation available for this question

# [x-1/x][x+1/x] [x2+1/x2][x4+ 1/x4]=

1.  [x2- 1/x2]

2.  [X4+ 1/x4]

3.  [x8- 1/x8]

4.  None of these

4

[x8- 1/x8]

Explanation :
No Explanation available for this question

# The area of a circle is increased by 22 cm its radius is increased by 1 cm. The original radius of the circle is

1.  6 cm

2.  3.2 cm

3.  3 cm

4.  3.5 cm

4

3 cm

Explanation :
No Explanation available for this question

# What part of a ditch, 48 metres long 16.5 metres broad and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 metres and length 56 metres

1.  1/9

2.  2/9

3.  7/9

4.  8/9

4

2/9

Explanation :
No Explanation available for this question

1.  4400 cm3

2.  15400 cm3

3.  35000 cm3

4.  144 cm3

4