Q1. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
(a) 15360
(b) 153600
(c) 30720
(d) 307200
Q2: The length and breadth of a playground are 36m and 21 m respectively. Poles are required to be fixed all along the boundary at a distance 3m apart. The number of poles required will be
(a) 39
(b) 38
(c) 37
(d) 40
Q3. Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?
Q4.A circular grass lawn of 35 metres in radius has a path 7 metres wide running around it on the outside. Find the area of path.
(d) None of these
Q5. A wire can be bent in the form of a circle of radius 56 cm. If it is bent in the form of a square, then its area will be:
Q6. A rectangular plate is of 6 m breadth and 12 m length. Two apertures of 2 m diameter each and one apertures of 1 m diameter have been made with the help of a gas cutter. What is the area of the remaining portion of the plate?
(a) 68.5 sq. m.
(b) 62.5 sq m
(c) 64.93 sq. m
(d) None of these
Q7. A cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. The radius of the heap at the base is :
(a) 63 cm
(b) 53 cm
(c) 56 cm
(d) 66 cm
Q8.A metallic sheets is of rectangular shape with dimensions 48 cm × 36 cm. From each one of its corners, a square of 8 cm is cut off. An open box is made of the remaining sheet. Find the volume of the box
Q9.The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base?
(a) 1.4 m
(b) 2.8 m
(c) 14 m
(d) None of these
Q10.Find the total surface area of a pyramid with a square base if each side of the base measures 16 cm, the slant height of a side is 17 cm and the altitude is 15 cm.
(d) None of these
Solutions:
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