Quantitative Aptitude: Mensuration Questions Set 13

  1. Four goats are tehtered at 4 corners of a square field of side 60 metres so that they just cannot reach one another.Find the area left ungrazed by the goats?
    650 m
    680 m
    771 m
    750 m
    None of these
    Option C
    Lenght=60/2=30 m
    Total area =22*30*30/7
    Ungrazed area=Area of square field – area covreed by 4 goats
    =3600 – 2829

     

  2. If the sides of a traingle measures 64 cm , 72 cm and 20 cm,what is the measure of its radius?
    6 cm
    5 cm
    9 cm
    8 cm
    Noe of these
    Option D
    Radius=64 *20 /64 + 72 +20 = 1280 / 156 = 8.20 cm

     

  3. the width of a rectangle is 10 meters and its area is 120 square metre.If length of the rectagle is increased by 6 cm,what is the new perimeter of the rectangle?
    42 cm
    48 cm
    45 cm
    50 cm
    56 cm
    Option E
    lenght=120/10 = 12
    then,12+6=18 cm
    P=2(l+b) = 2(10+18)=56 cm

     

  4. What will be the cost of painiting a room whose area is 300 square metre ,if the rate of painiting per square metre is Rs 24?
    Rs 1250
    Rs 1540
    Rs 1548
    Cannot be determined
    Nnone of these
    Option D
    Room shape not given and its parameter not given

     

  5. If the length of rectangle is increased by 20 percent,by what percent should width be reduced to maintain same area?
    10.25
    12.50
    13.35
    16.66
    None of these
    Option D
    Let l=100 and b=100
    New l=120
    Therefore,100*100=120*b
    b=250/3
    Percentage decrease =100-250/3

     

  6. A rectangular gardenn is 30 m long and 20 m broad.It has 6 m wide pavements all around it both inside and outside.Find the total area of pavements?
    1600 cm
    1425 cm
    1500 cm
    1200 cm
    None of these
    Option D
    Area=42*32 – 18*8
    =1344 -144

     

  7. The radius of a wheel of a truck is 70 cm.How many revolutions per minute the wheel will make in order to make speed of 66 km/hr?
    260
    255
    250
    275
    280
    Option C
    Distance in 1 minute =66*(100/60)=1100 m
    Circumference =2 *22/7 * 0.70 = 4.4 m
    No of revolutions=(1100/4.40)

     

  8. What is the volume of a cyclinder whose curved surface area is 700 cm^2 and height is 14 cm?
    2816
    2754
    2984
    2800
    None of these
    Option A
    2*pie*r*h=700
    2*3.14*r*14=700
    r=7.96 = 8
    Then,Volume=pie*r^2 * h

     

  9. A hall has floor size of 15*6 sq cm.What is the height of the hall if the sum of the areas of base and roof is equal to sum of areas of four walls?
    3.25
    3.54
    4.29
    5.02
    None of these
    Option C
    2lb=2h(l+b)
    h=l*b / l+b

     

  10. A goat is thetered to a cow with 16 cm long rope at corner of 31 cm long and 27 cm wide recatngular grass field.What area of field wll goat graze?
    200.0
    201.1
    205.25
    206.50
    None of these
    Option B
    Area=(22*16*16/7)/4

     


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