Mensuration Questions Practice Question and Answer

Q:

A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. The percentage of the volume of the cone that remains empty is:

1509 0

  • 1
    87.5%
    Correct
    Wrong
  • 2
    80.5%
    Correct
    Wrong
  • 3
    81.6%
    Correct
    Wrong
  • 4
    88.2%
    Correct
    Wrong
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Answer : 1. "87.5%"

Q: If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area? 1479 0

  • 1
    41%
    Correct
    Wrong
  • 2
    38%
    Correct
    Wrong
  • 3
    33%
    Correct
    Wrong
  • 4
    44%
    Correct
    Wrong
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Answer : 2. "38%"
Explanation :

Answer: B) 38% Explanation: % Change in Curved Surface Area is given by  %Change in radius + %Change in height + %Change in radius × %Change in height 100   ⇒+20 + 15 + 20×15100 = 38%

Q:

The ratio of inradius and circumradius of an equilateral triangle is:

1476 0

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

Q:

The total area of a circle and a square is equal to 2611 sq.cm. The diameter of the circle is 42 cms. What is the sum of the circumference of the circle and the perimeter of the square?

1445 0

  • 1
    272 cm
    Correct
    Wrong
  • 2
    380 cm
    Correct
    Wrong
  • 3
    280 cm
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "272 cm"

Q:

The area of two equilateral triangles are in the ratio 25 : 36 . Their altitudes will be in the ratio: 

1444 0

  • 1
    36 : 25
    Correct
    Wrong
  • 2
    25 : 36
    Correct
    Wrong
  • 3
    5 : 6
    Correct
    Wrong
  • 4
    √5 : √6
    Correct
    Wrong
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Answer : 3. "5 : 6 "
Explanation :

the ratio will be squre root of triangle so that answer will be 5:6

Q: Ratio between areas of two squares is 36:25. What would be the ratio between their perimeter. 1432 0

  • 1
    5:4
    Correct
    Wrong
  • 2
    6:5
    Correct
    Wrong
  • 3
    4:6
    Correct
    Wrong
  • 4
    8:7
    Correct
    Wrong
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Answer : 2. "6:5"
Explanation :

undefined

Q:

If the length and breadth of a rectangle are increased by 8 % and 12 % respectively, then by what percent does the area of that rectangle increase? 

1429 0

  • 1
    22%
    Correct
    Wrong
  • 2
    24%
    Correct
    Wrong
  • 3
    20%
    Correct
    Wrong
  • 4
    20.96 %
    Correct
    Wrong
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Answer : 4. "20.96 %"

Q:

A square has a perimeter equal to 24 units. If the length of each side of the square is reduced by 2 units, then find the area( in sq units) of the square.

1410 0

  • 1
    4
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
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Answer : 3. "16"

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