Mensuration Questions Practice Question and Answer

Q:

The perimeter of a square with diagonal 29√2 cm is equal to the perimeter of a rectangle. Find the area of the rectangle if the length of the rectangle is 8 cm more than the breadth of the rectangle?

1117 0

  • 1
    820
    Correct
    Wrong
  • 2
    825
    Correct
    Wrong
  • 3
    625
    Correct
    Wrong
  • 4
    725
    Correct
    Wrong
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Answer : 2. "825"

Q:

What is the area (in cm2 ) of an equilateral triangle of side 20 cm?

1117 0

  • 1
    $$ 100 \sqrt { 3} \ $$
    Correct
    Wrong
  • 2
    200
    Correct
    Wrong
  • 3
    $$ 100 \sqrt { 2} \ $$
    Correct
    Wrong
  • 4
    100
    Correct
    Wrong
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Answer : 1. "$$ 100 \sqrt { 3} \ $$"

Q:

The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.

1113 0

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

Q:

If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:

1112 0

  • 1
    24 cm
    Correct
    Wrong
  • 2
    16 cm
    Correct
    Wrong
  • 3
    14 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 1. "24 cm"

Q:

The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (Use π=22/7)

1111 0

  • 1
    345.6 cm3
    Correct
    Wrong
  • 2
    359.3 cm3
    Correct
    Wrong
  • 3
    379.3 cm3
    Correct
    Wrong
  • 4
    369.3 cm3
    Correct
    Wrong
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Answer : 2. "359.3 cm3"

Q:

The sum of the radii of spheres A and B is 14 cm, the radius of A being larger than that of B. The difference between their surface areas is 112 π . What is the ratio of the volumes of A and B?

1111 0

  • 1
    125 : 64
    Correct
    Wrong
  • 2
    64 : 27
    Correct
    Wrong
  • 3
    27 : 8
    Correct
    Wrong
  • 4
    8 : 1
    Correct
    Wrong
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Answer : 2. "64 : 27"

Q:

A wire is in the form of a circle of radius 98 cm. A square is formed out of the wire. What is the approximate length of a side of the square?

1107 0

  • 1
    156 cm
    Correct
    Wrong
  • 2
    148 cm
    Correct
    Wrong
  • 3
    152 cm
    Correct
    Wrong
  • 4
    154 cm
    Correct
    Wrong
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Answer : 4. "154 cm"

Q:

The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p1 , p2 and p3 . The length of each side of the triangle is

1106 0

  • 1
    $${2\over \sqrt { 3}}+(p_1+p_2+p_3) $$
    Correct
    Wrong
  • 2
    $${1\over \sqrt { 3}}+(p_1+p_2+p_3) $$
    Correct
    Wrong
  • 3
    $${1\over \sqrt { 3}}+(p_1+p_2+p_3) $$
    Correct
    Wrong
  • 4
    $${4\over \sqrt { 3}}+(p_1+p_2+p_3) $$
    Correct
    Wrong
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Answer : 1. "$${2\over \sqrt { 3}}+(p_1+p_2+p_3) $$ "

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