Problems on Areas Question and Answers : Quantitative Aptitude

Mensuration : Quantitative Aptitude
  1. 11.   Of the two square fields, the area of the one is 1 hectare, while anothe one is broader by 1%. There differences in area is:

    A.) 200 m B.) 201 m
    C.) 201 m D.) None of these
    Answer: Option 'C'

    Area of one square field = 10000 m2

    10000 × 1 = 10000

    Side of this field = √10000 m = 100 m

    Side of another square = 101 m

    Difference of areas = [ 1012 - 1002 ] m2

    [101+100][101-100] m2

    (201)(1) m2 = 201 m2



  2. 12.  Find the cost of carpenting a room 13 m long and 9 m broad with a carpet 100 Cm broad at the rate of Rs.20 per meter.

    A.) 117 m B.) 107 m
    C.) 116 m D.) 117 m2
    Answer: Option 'A'

    Area of the carper = Area of the room

    = 13 × 9 => 117 m2

    Breadth of the carpet = 100 Cm = 1m

    Length of carpet = Area/Breadth => 117/1 = 177 m.



  3. 13.   A girl walking at the rate of 9 Km per hour crosses a square field diagonally in 12 seconds. The area of the field is:

    A.) 460 sq.m B.) 600 sq.m
    C.) 510 sq.m D.) 450 sq.m
    Answer: Option 'D'

    Distance covered in (9×1000)/(3600) × 12 = 30 m

    Diagonal of squarre field = 30 m.

    area of square field = 302/2

    = 900/2 = 450 Sq.m



  4. 14.  The inner circumference of a circle race track 18 m wide is 880 m. Find the radius of the outer circle.

    A.) 140 m2 B.) 150 m
    C.) 140 m D.) None of these
    Answer: Option 'C'

    Let inner radius be r metres

    Then 2πr = 640

    2 × 22/7 r = 880

    44/7 r = 880

    r = 880 × 7/44 = 140 m



  5. 15.&  The perimeter of a square circumscribed about a ciecle of radius r is:

    A.) 12 r B.) 16 r
    C.) 64 r D.) 8 r
    Answer: Option 'D'

    Each side of the square = 2r

    Perimeter of the square = (4×2r) = 8r




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