Mensuration Questions Practice Question and Answer

Q:

The height and the radius of the base of a right circular cone are 12 cm and 6 cm respectively. The radius of the circular cross-section of the cone cut by a plane parallel to its base at a distance of 3 cm from the base is

205 0

  • 1
    4 cm
    Correct
    Wrong
  • 2
    5.5 cm
    Correct
    Wrong
  • 3
    4.5 cm
    Correct
    Wrong
  • 4
    3.5 cm
    Correct
    Wrong
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Answer : 3. "4.5 cm"

Q:

If S denotes the area of the curved surface of a right circular cone of height h and semi vertical angle ∝ then S equals

191 0

  • 1
    $$πh^2 tan^2∝ $$
    Correct
    Wrong
  • 2
    $${1\over 3}πh^2tan^2∝$$
    Correct
    Wrong
  • 3
    $$πh^2sec∝tan∝$$
    Correct
    Wrong
  • 4
    $${1\over 3}πh^2sec∝tan∝$$
    Correct
    Wrong
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Answer : 3. "$$πh^2sec∝tan∝$$"

Q:

The perimeter of a square and a circular field are same. If the area of circular field is 3850 sq meter. What is the area in meter of the square?

1269 0

  • 1
    4225
    Correct
    Wrong
  • 2
    3025
    Correct
    Wrong
  • 3
    2500
    Correct
    Wrong
  • 4
    2025
    Correct
    Wrong
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Answer : 2. "3025"

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: 

233 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:

The length of diagonal of a square is $${15\sqrt { 2}}$$cm. Its area is

253 0

  • 1
    $$112.5 cm^2$$
    Correct
    Wrong
  • 2
    $$450 cm^2$$
    Correct
    Wrong
  • 3
    $${225\sqrt { 2}\over 2}cm^2$$
    Correct
    Wrong
  • 4
    $$225 cm^2$$
    Correct
    Wrong
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Answer : 4. "$$225 cm^2$$"

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:

267 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. "

Q:

A kite in the shape of a square with a diagonal 32 cm attached to an equilateral triangle of the base 8 cm. Approximately how much paper has been used to make it? (Use √3 = 1.732)

236 0

  • 1
    $$539.712 cm^2$$
    Correct
    Wrong
  • 2
    $$538.721 cm^2$$
    Correct
    Wrong
  • 3
    $$540.712 cm^2$$
    Correct
    Wrong
  • 4
    $$539.217 cm^2$$
    Correct
    Wrong
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Answer : 1. "$$539.712 cm^2$$"

Q:

The length of a plot is five times its breadth. A playground measuring 245 square metres occupies half of the total area of the plot. What is the length of the plot?

289 0

  • 1
    35√2 metres
    Correct
    Wrong
  • 2
    175√2 metres
    Correct
    Wrong
  • 3
    490 metres
    Correct
    Wrong
  • 4
    5√2 metres
    Correct
    Wrong
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Answer : 1. "35√2 metres "

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