Mensuration Questions Practice Question and Answer

Q:

Base of the right prism is an equilateral triangle. If its height reduced to one-fourth and each side of the base is tripled, then the ratio of the volumes of the old prism to the new prism is-

1064 0

  • 1
    4 : 9
    Correct
    Wrong
  • 2
    9 : 4
    Correct
    Wrong
  • 3
    7 : 9
    Correct
    Wrong
  • 4
    5 : 7
    Correct
    Wrong
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Answer : 1. "4 : 9 "

Q:

In a triangle, lengths of all the three medians are 9 cm, 12 cm. and 15 cm respectively. Then what will be the area of the triangle?

1061 0

  • 1
    54 $$cm^2$$
    Correct
    Wrong
  • 2
    60 $$cm^2$$
    Correct
    Wrong
  • 3
    36 $$cm^2$$
    Correct
    Wrong
  • 4
    72 $$cm^2$$
    Correct
    Wrong
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Answer : 4. "72 $$cm^2$$"

Q:

If the side of the square is increased by 30%, then how much % does its area get increased?

1058 0

  • 1
    59%
    Correct
    Wrong
  • 2
    69%
    Correct
    Wrong
  • 3
    79%
    Correct
    Wrong
  • 4
    49%
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 2. "69%"

Q:

If the area of a circle inscribed in a square is 9π $$ {}\ cm^2 $$, then the area of the square is

1058 0

  • 1
    $$ {24}\ cm^2 $$
    Correct
    Wrong
  • 2
    $$ {30}\ cm^2 $$
    Correct
    Wrong
  • 3
    $$ {36}\ cm^2 $$
    Correct
    Wrong
  • 4
    $$ {81}\ cm^2 $$
    Correct
    Wrong
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Answer : 3. "$$ {36}\ cm^2 $$"

Q:

Balls of marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm?

1044 0

  • 1
    50
    Correct
    Wrong
  • 2
    150
    Correct
    Wrong
  • 3
    250
    Correct
    Wrong
  • 4
    350
    Correct
    Wrong
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Answer : 2. "150"

Q:

If the length and breadth of a rectangle are in the ratio 3:2 and its perimeter is 20 cm, then the area of the rectangle (in cm2) is

1043 0

  • 1
    $$ {24}\ cm^2 $$
    Correct
    Wrong
  • 2
    $$ {36}\ cm^2 $$
    Correct
    Wrong
  • 3
    $$ {48}\ cm^2 $$
    Correct
    Wrong
  • 4
    $$ {12}\ cm^2 $$
    Correct
    Wrong
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Answer : 1. " $$ {24}\ cm^2 $$"
Explanation :

2(3x+2x)=20
x=2
then the length and breadth of a rectangle is 6, and 4
The Area of Rectangle will be Length*breadth=6*4=24 cm2

Q:

The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq.cm, Find the length of the greater line segment if one is longer than the other by 2cm.

1040 0

  • 1
    7 cm
    Correct
    Wrong
  • 2
    9 cm
    Correct
    Wrong
  • 3
    11 cm
    Correct
    Wrong
  • 4
    16 cm
    Correct
    Wrong
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Answer : 2. "9 cm"
Explanation :

According to question given that x2-y2=32, and x-y=2
then we find x and y 


Q:

Let ABCD be a quadrilateral. Let the diagonals AC and BD meet at O. Let the perpendicular drawn from A to CD meet CD at E. Further, AO: OC = BO: OD, AB = 30 cm. CD = 40 cm. and the area of the quadrilateral ABCD is 1050 cm2. What is BE equal to?

1028 0

  • 1
    30√2
    Correct
    Wrong
  • 2
    40√2
    Correct
    Wrong
  • 3
    60√2
    Correct
    Wrong
  • 4
    20√2
    Correct
    Wrong
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Answer : 1. "30√2 "

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