Mensuration Questions Practice Question and Answer

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.

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  • 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:

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?

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

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-

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  • 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:

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

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  • 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:

A,B, C are three points such that AB = 9 cm, BC = 11 cm and AC = 20 cm. The number of circles passing through points A,B,C is: 

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  • 1
    2
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 2. "0"

Q:

If the perimeter of a rectangle is 180 m and the difference between the Length and breadth is 8 m, what is the area of the rectangle?

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  • 1
    2116 sqm
    Correct
    Wrong
  • 2
    2017 sqm
    Correct
    Wrong
  • 3
    2090 sqm
    Correct
    Wrong
  • 4
    2278 sqm
    Correct
    Wrong
  • 5
    None of the above
    Correct
    Wrong
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Answer : 5. "None of the above"

Q:

If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is: 

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  • 1
    15.12 sq. cm
    Correct
    Wrong
  • 2
    13.52 sq. cm
    Correct
    Wrong
  • 3
    12.62 sq. cm
    Correct
    Wrong
  • 4
    10.00 sq. cm
    Correct
    Wrong
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Answer : 2. "13.52 sq. cm "

Q:

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

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  • 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%"

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