Mensuration Questions Practice Question and Answer

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:

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  • 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:

The perimeter of a square is equal to the perimeter of a rectangle, and the latter has a width of 12 cm. The area of the square is 400 cm. Find the area of the rectangle.

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  • 1

    412 cm2

    Correct
    Wrong
  • 2

    394 cm2

    Correct
    Wrong
  • 3

    324 cm2

    Correct
    Wrong
  • 4

    336 cm2

    Correct
    Wrong
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Answer : 4. "

336 cm2

"

Q:

The area of the base of a right circular cone is 81 cmand its height is 12 cm. What is the curved surface area (in cm2) of the cone?

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  • 1
    126 π
    Correct
    Wrong
  • 2
    135 π
    Correct
    Wrong
  • 3
    108 π
    Correct
    Wrong
  • 4
    144 π
    Correct
    Wrong
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Answer : 2. "135 π"

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?

1124 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 "

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

1121 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 the area of a rhombus is 240 square feet if it's one diagonal is 16 feet, then what is the length (in meters) of the side of the rhombus?

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  • 1
    5.1 meter
    Correct
    Wrong
  • 2
    4.1 meter
    Correct
    Wrong
  • 3
    5.6 meter
    Correct
    Wrong
  • 4
    6.8 meter
    Correct
    Wrong
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Answer : 1. "5.1 meter "

Q:

The diagonal of a right angle isosceles triangle is 5 cm. Its area will be

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  • 1
    5 sq.cm
    Correct
    Wrong
  • 2
    6.25 sq.cm
    Correct
    Wrong
  • 3
    6.50 sq.cm
    Correct
    Wrong
  • 4
    12.5 sq.cm
    Correct
    Wrong
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Answer : 2. "6.25 sq.cm "

Q:

ABC is an equilateral triangle with side 12 cm and AD is the median. Find the length of GD if G is the centroid of ΔАВС.

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  • 1
    $${6\sqrt{3}}cm$$
    Correct
    Wrong
  • 2
    $${3\sqrt{3}}cm$$
    Correct
    Wrong
  • 3
    $${4\sqrt{3}}cm$$
    Correct
    Wrong
  • 4
    $${2\sqrt{3}}cm$$
    Correct
    Wrong
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Answer : 4. "$${2\sqrt{3}}cm$$"

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