Mensuration Practice Question and Answer

Q:

A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:

823 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 2. "4"

Q:

The volume of a cone is $${27720cm^2}$$. If the height of the cone is 20 cm, then what will be the area of the base?

821 0

  • 1
    $${4158cm^2}$$
    Correct
    Wrong
  • 2
    $${4272cm^2}$$
    Correct
    Wrong
  • 3
    $${4626cm^2}$$
    Correct
    Wrong
  • 4
    $${4836cm^2}$$
    Correct
    Wrong
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Answer : 1. "$${4158cm^2}$$"

Q:

Two identical circles intersect each other such that each passes through the centre of the other. Length of common chord is 16√3 cm. What is the radius of each circle?

817 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    16√3 cm
    Correct
    Wrong
  • 3
    16√2 cm
    Correct
    Wrong
  • 4
    8√3 cm
    Correct
    Wrong
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Answer : 1. "16 cm"

Q:

Length of a rectangle is 53 metre, while its breath is 28 metre. Cost of covering it with grass bed is Rs.27 sq meter. Find total expenditure?

810 0

  • 1
    Rs. 40,098
    Correct
    Wrong
  • 2
    Rs. 40,048
    Correct
    Wrong
  • 3
    Rs. 40,058
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 4. "None of these"

Q:

O, G, I and H are respectively the circumcentre, centroid, incentre and orthocentre of an equilateral triangle. Which of these points are identical?

808 0

  • 1
    O and I only
    Correct
    Wrong
  • 2
    O and G only
    Correct
    Wrong
  • 3
    O, G, I and H
    Correct
    Wrong
  • 4
    O, G and H only
    Correct
    Wrong
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Answer : 3. "O, G, I and H "

Q:

What is the height (in cm) of an equilateral triangle whose each side is 8 cm?

804 0

  • 1
    $$4\sqrt { 3} \ $$
    Correct
    Wrong
  • 2
    $$3\sqrt { 2} \ $$
    Correct
    Wrong
  • 3
    $$4\sqrt { 2} \ $$
    Correct
    Wrong
  • 4
    $$3\sqrt { 5} \ $$
    Correct
    Wrong
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Answer : 1. "$$4\sqrt { 3} \ $$"

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.

800 0

  • 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. "$${2\sqrt{3}}cm$$"

Q:

From a point in the interior of an equilateral triangle, the length of the perpendiculars to the three sides are 6 cm, 8 cm and 10 cm respectively. The area of the triangle is

795 0

  • 1

    48 cm2

    Correct
    Wrong
  • 2

    16√3 cm2

    Correct
    Wrong
  • 3

    192√3 cm2

    Correct
    Wrong
  • 4

    192 cm2

    Correct
    Wrong
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Answer : 3. "

192√3 cm2

"

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