Problems on Areas Question and Answers : Quantitative Aptitude

Mensuration : Quantitative Aptitude
  1. 21.   If the radius of a circle decreased by 50% its area is decreased by:

    A.) 75% B.) 50%
    C.) 85% D.) 65%
    Answer: Option 'A'

    Original area = πr2

    New area = π(r/2)2 = (πr2)/4

    Reduction in area = [(πr2 - (πr2)/4]2 = (3πr2)/4

    Reduction percent = ((3πr2)/4 × 1/(πr2 × 100) % = 75%



  2. 22.  A rectangular room 14 m long, 12 m broad is surrounded by a varandah, 3 m wide. Find the area of the varandah?

    A.) 190 m2 B.) 170 m2
    C.) 180 m3 D.) 180 m2
    Answer: Option 'D'

    Area of varandah = (l+b+2p)2p

    = (14 + 12 + 6 ) 6

    = 180 m2



  3. 23.   The area of the largest circle that can be drawn inside a square of side 28 Cm in length is:

    A.) 616 Cm3 B.) 626 Cm2
    C.) 619 Cm2 D.) 616 Cm2
    Answer: Option 'D'

    Radius of required circle = 14 Cm

    its area = 22/7 × 14 × 14

    44 × 14 = 616 Cm2



  4. 24.  Area of four walls of a room is 99 m2. The length and breadth of the room are 7.5 m and 3.5m respectively. The height of the room is:

    A.) 4.5 Cm B.) 5.5 m
    C.) 4.5 m D.) 5.5 Cm
    Answer: Option 'C'

    2(7.5+3.5)×h = 99

    2(11)h = 99

    22h = 99

    h = 99/22 = 9/2 = 4.5 m




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