Aptitude Practice Question and Answer

Q:

A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30 ° with the ground. The distance from the foot of the tree to the point, where the top touches the ground is 10m. Find the total height of the tree 

1237 0

  • 1
    10(√3+1) m
    Correct
    Wrong
  • 2
    10(√3-1) m
    Correct
    Wrong
  • 3
    10 √3 m
    Correct
    Wrong
  • 4
    $${10√3 \over3}m$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "10 √3 m "

Q:

129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of cliff is 30 °. The height of this cliff is 

814 0

  • 1
    43√3 metre
    Correct
    Wrong
  • 2
    47 √3 metre
    Correct
    Wrong
  • 3
    50 √3 metre
    Correct
    Wrong
  • 4
    45 √3 metre
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "43√3 metre "

Q:

A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 ° to 60 °. After this the time required by the vehicle to reach the bottom of the hill is 

1099 0

  • 1
    13 min 40 sec
    Correct
    Wrong
  • 2
    14 min 24 sec
    Correct
    Wrong
  • 3
    12 min 20 sec
    Correct
    Wrong
  • 4
    13 min
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "13 min 40 sec "

Q:

The angles of elevation of top and bottom of flag kept on a flag post from 30 metres distance, are 45 ° and 30 ° respectively. Height of the flag is [ taking 13 = 1.732) 

1170 0

  • 1
    14.32 m
    Correct
    Wrong
  • 2
    12.68 m
    Correct
    Wrong
  • 3
    12 √3 m
    Correct
    Wrong
  • 4
    15 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "12.68 m "

Q:

The shadow of a tower when the angle of elevation of the sun is 45 °, is found to be 10 m longer that when it was 60 °. The height of the tower is 

1000 0

  • 1
    10(√3-1) m
    Correct
    Wrong
  • 2
    10(√3+1) m
    Correct
    Wrong
  • 3
    5(√3-1) m
    Correct
    Wrong
  • 4
    5(3+√3) m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "5(3+√3) m "

Q:

A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 m from its feet and makes an angle of 30 ° with the horizontal. The height (in metre) of the post is 

993 0

  • 1
    18
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "24"

Q:

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 ° and 60 °, then the width of the river is 

921 0

  • 1
    400√3m
    Correct
    Wrong
  • 2
    $${400\over√3}m $$
    Correct
    Wrong
  • 3
    $$200+{200\over√3}m $$
    Correct
    Wrong
  • 4
    $$200-{200\over√3}m $$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$200+{200\over√3}m $$"

Q:

From a point P on the ground the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 450. Find the length of the flagstaff (Take √3 = 1.732) 

984 1

  • 1
    10 √3 m
    Correct
    Wrong
  • 2
    7.32 m
    Correct
    Wrong
  • 3
    10 (√30+2) m
    Correct
    Wrong
  • 4
    10 (√30+1) m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "7.32 m"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully