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Mensuration Test 8
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Mensuration Test 8
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  • Question 1/10
    1 / -0

    A room 24cm long and 32cm broad is to be paved with equal no of tiles. Find the no of largest tiles requires so that the tiles exactly fit.

    Solutions

    Explanation :

    HCF of 24,32 = 8

    No of tiles = L *B/(HCF)2

    = 24*32/8*8 = 12

     

  • Question 2/10
    1 / -0

    A circular garden has a path of uniform width around it. The difference between outer and inner circumference of the circular path is 210cm.Find its width.

    Solutions

    Explanation :

    2*3.14*R – 2*3.14*r = 210

    R-r = 210/2*3.14 = 33.44cm

     

  • Question 3/10
    1 / -0

    The length of a rectangular plot is 3 folds its width. Half the area of the plot is covered by a playground whose area is 363 square meter. What is the length of the plot?

    Solutions

    Explanation :

    X * 3X = 320*2

    3x 2 = 363*2

    x 2 = 363*2/3 = 121*2

    x = 11*1.41 = 15.51

     

  • Question 4/10
    1 / -0

    A rectangular field has  its length and breadth in the ratio 6:5 respectively. A man riding bicycle complete one lap of this field along its perimeter at the speed of 12kmph in 1.5m. What is the area of the field ?

    Solutions

    Explanation :

    Speed = 12*5/18 = 3.3 m/s

    Perimeter = Distance

    2(6x+5x) = 90*3.3

    22x= 297

    X=13.5

    Area = 6*13.5 *5*13.5 = 5467.5 = 5468sq.m

     

  • Question 5/10
    1 / -0

    One of the angles of a parallelogram is 65degree. What will be the sum of twice the largest angle and thrice the smallest angle of the parallelogram ?

    Solutions

    Explanation :

    180-65 = 115

    2*115+ 3*65 = 230+195 = 425

     

  • Question 6/10
    1 / -0

    The area of the square is three-fifth the area of a rectangle. The length of the rectangle is 25cm and  breadth 10cm less than its length. What is the area of the square ?

    Solutions

    Explantion :

    Area of rectangle = 25*15 = 375sq.cm

    Area of square = 3*375/5 = 225sq.cm = a*a

    Side of the square = a = 15cm

     

  • Question 7/10
    1 / -0

    What will be the cost of painting a hall whose area is 256sq m, if the rate of painting per sq m is Rs.22.

    Solutions

    Explanation :

    Hall shape and it’s parameter was not given

     

  • Question 8/10
    1 / -0

    The width of a rectangle is 10 meter and its area is 120 square meter. If length of the rectangle is increased by 6.What is the new perimeter of the rectangle? 

    Solutions

    Explanation :

    Length = 120/10 = 12

    (12+6) = 18

    Perimeter = 2(10+18) = 56

     

  • Question 9/10
    1 / -0

    If the sides of a triangle measure 62cm, 70cm and 18cm, what is the measure of its in radius?

    Solutions

    Explanation :

    Radius = product of perpendicular side/ perimeter of traingle

    R = 62*18/62+70+18 = 1116/150 = 7.44 = 7cm

     

  • Question 10/10
    1 / -0

    Four horses are tethered at 4 corners of a square field of side 60 metres so that they just cannot reach one another. The area left ungrazed by the horses is:

    Solutions

    Explanation :

    Length of the rope = 60/2 = 30m

    Total area covered by 4 horse = 22*30*30/7

    Ungrazed area = Area of Square field – area covered by 4 horse

    = 3600 – 2829 = 771m

     

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