Mensuration Questions Practice Question and Answer

Q:

AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ∠APC = 620, then find the measure of the minor arc AC.

1222 0

  • 1

    310

    Correct
    Wrong
  • 2

    620

    Correct
    Wrong
  • 3

    560

    Correct
    Wrong
  • 4

    280

    Correct
    Wrong
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Answer : 4. "

280

"

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.

1218 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 the diagonals of two squares are in the ratio of 2: 5, their area will be in the ratio of

1216 0

  • 1
    $$\sqrt { 2}:\sqrt { 5}\ $$
    Correct
    Wrong
  • 2
    2 : 5
    Correct
    Wrong
  • 3
    4 : 25
    Correct
    Wrong
  • 4
    4 : 5
    Correct
    Wrong
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Answer : 3. "4 : 25 "

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

1215 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. "$${2\over \sqrt { 3}}+(p_1+p_2+p_3) $$ "

Q:

Radius of a circle is 5 cm. Length of chord AB in this circle is 6 cm. What is the distance of this chord from the centre of the circle?

1207 0

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

1206 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 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?

1198 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:

Area of the floor of a cubical room is 64 m2. The length of the longest rod that can be kept in the room is:

1198 0

  • 1
    $$16 \sqrt { 2} $$
    Correct
    Wrong
  • 2
    $$4 \sqrt { 3} $$
    Correct
    Wrong
  • 3
    $$12 \sqrt { 3} $$
    Correct
    Wrong
  • 4
    $$8 \sqrt { 3} $$
    Correct
    Wrong
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Answer : 4. " $$8 \sqrt { 3} $$"

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