Mensuration Questions Practice Question and Answer

Q:

The length of the diagonal of a square is ‘a’ cm. Which of the following represents the area of the square (in sq. cm.)?

718 0

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

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.

718 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:

Two equal circles intersect such that each pass through the center of the other. If the length of the common chord of the circle is 10√3 cm, then what is the diameter of the circle?

716 0

  • 1
    10 cm
    Correct
    Wrong
  • 2
    15 cm
    Correct
    Wrong
  • 3
    20 cm
    Correct
    Wrong
  • 4
    30 cm
    Correct
    Wrong
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Answer : 3. "20 cm "

Q:

A solid metallic sphere of radius 12 cm is melted and recast into a cone having diameter of the base as 12 cm. What is the height of the cone?

714 0

  • 1
    258 cm
    Correct
    Wrong
  • 2
    224 cm
    Correct
    Wrong
  • 3
    166 cm
    Correct
    Wrong
  • 4
    192 cm
    Correct
    Wrong
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Answer : 4. "192 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

709 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:

In a circle with centre O, a diameter AB is produced to a point P lying outside the circle and PT is a tangent to the circle at the point C on it. If ∠BPT = 36°, then what is the measure of ∠BCP?

709 0

  • 1
    240
    Correct
    Wrong
  • 2
    180
    Correct
    Wrong
  • 3
    360
    Correct
    Wrong
  • 4
    270
    Correct
    Wrong
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Answer : 2. "180" 4. "270"

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:

708 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. " $$8 \sqrt { 3} $$"

Q:

Area of a equilateral triangle is 400√3 sq.m. then perimeter is-

705 0

  • 1
    135 meter
    Correct
    Wrong
  • 2
    120 meter
    Correct
    Wrong
  • 3
    150 meter
    Correct
    Wrong
  • 4
    90 meter
    Correct
    Wrong
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Answer : 2. "120 meter "

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