Maths Practice Question and Answer

Q:

An earthing wire connected to the top of an electricity pole has its other end inside the ground. The foot of the wire is 1.5 m away from the pole and the wire is making an angle of 60° with the level of the ground. Determine the height of pole. 

1304 0

  • 1
    √3
    Correct
    Wrong
  • 2
    $${√3\over2}m$$
    Correct
    Wrong
  • 3
    $${3√3\over2}m$$
    Correct
    Wrong
  • 4
    3 m
    Correct
    Wrong
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Answer : 3. "$${3√3\over2}m$$"

Q:

A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall and the ladder is making an angle of 60 ° with the ground. When a man starts climbing on it, it slips and now ladder makes an angle of 30° with ground. How much did the ladder slip? 

1398 0

  • 1
    30 (√3-1) ft
    Correct
    Wrong
  • 2
    18 (√3-1) ft
    Correct
    Wrong
  • 3
    10 (√3-1) ft
    Correct
    Wrong
  • 4
    20 (√3-1) ft
    Correct
    Wrong
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Answer : 3. "10 (√3-1) ft "

Q:

The angle of elevation of the top of a tower from a point A on the ground is 30o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60o.The height of the tower is-

1160 0

  • 1
    5√3
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    10√3
    Correct
    Wrong
  • 4
    20√3
    Correct
    Wrong
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Answer : 3. "10√3"

Q:

In a triangle, if three altitudes are equal, then the triangle is 

809 0

  • 1
    Obtuse
    Correct
    Wrong
  • 2
    Equilateral
    Correct
    Wrong
  • 3
    Right
    Correct
    Wrong
  • 4
    Isosceles
    Correct
    Wrong
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Answer : 2. "Equilateral "

Q:

If ABC is an equilateral triangle and D is a point on BC such that AD⊥BC, then 

730 0

  • 1
    AB : BD = 1 : 1
    Correct
    Wrong
  • 2
    AB : BD = 1 : 2
    Correct
    Wrong
  • 3
    AB : BD = 2 : 1
    Correct
    Wrong
  • 4
    AB : BD = 3 : 2
    Correct
    Wrong
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Answer : 3. "AB : BD = 2 : 1 "

Q:

If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is

904 0

  • 1
    5 cm.
    Correct
    Wrong
  • 2
    10 cm.
    Correct
    Wrong
  • 3
    20 cm.
    Correct
    Wrong
  • 4
    15 cm.
    Correct
    Wrong
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Answer : 1. "5 cm. "

Q:

The perimeter of five squares are 24 cm, 32 cm, 40 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to sum of the areas of these squares is: 

790 0

  • 1
    31 cm
    Correct
    Wrong
  • 2
    62 cm
    Correct
    Wrong
  • 3
    124 cm
    Correct
    Wrong
  • 4
    961 cm
    Correct
    Wrong
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Answer : 3. "124 cm "

Q:

From four corners of a square sheet of side 4 cm, four pieces, each in the shape of arc of a circle with radius 2 cm, are cut out. The area of the remaining portion is:

935 0

  • 1
    (8– π) sq.cm.
    Correct
    Wrong
  • 2
    (16–4 π) sq.cm.
    Correct
    Wrong
  • 3
    16–8 π) sq.cm.
    Correct
    Wrong
  • 4
    (4–2 π) sq.cm.
    Correct
    Wrong
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Answer : 2. "(16–4 π) sq.cm. "

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