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Q3. A semi circular sheet of metal whose diameter is 28 cm has been bent in the shape of a conical bowl. The depth of the bowl is
(a) 11 cm
(b) 12 cm
(c) 13 cm
(d) 14 cm
Q5. A cone, a hemisphere and a cylinder have equal bases and their heights are also equal. The ratio of their volume is
(a) 1 : 3 : 2
(b) 2 : 3 : 1
(c) 1 : 2 : 3
(d) 3 : 1 : 2
Q6. If the length of a rectangle is increased by 2 units and width is decreased by 2 units, its area decreases by 28 square unit. Similarly if length is decreased by 1 unit and width is increased by 2 units, the area increases by 33 sq. unit. The area of rectangle is?
(a) 352 sq. unit
(b) 225 sq. unit
(c) 223 sq. unit
(d) 253 sq. unit
Q7. Two roads each 5 m wide has been made , running perpendicular to each other inside a rectangular field of dimension 80 m × 60 m. The cost of spreading pebbles over them at the rate of Rs. 10 per m² is?
(a) Rs 6,500
(b) Rs 6,750
(c) Rs 7,000
(d) Rs 7,250
Q8. The length breadth and height of a room are in the ratio 4 : 3 : 2. If the total cost of putting a carpet on the floor is Rs. 240 at the rate of Rs. 5 per m², the cost of covering the walls of the room at the rate Rs. 2.50 per m² is?
(a) Rs. 180
(b) Rs. 200
(c) Rs. 250
(d) Rs. 280
Q9. The area of a piece of land which is in the shape of a trapezium is 1440 m². The distance between the parallel side is 24 m. If the ratio of the parallel side is 5 : 3, the length of the largest parallel side is?
(a) 75 m
(b) 45 m
(c) 120 m
(d) 60 m
Q10. The length and the breadth of a rectangular grass land are 55 m and 35 m respectively. Two roads each 4 m wide and one parallel to the length and other parallel to the width of the grass land have been made inside it. The cost of paving these roads by pebbles, at the rate of 75 paise per m² is?
(a) Rs 254.50
(b) Rs 258
(c) Rs 262.50
(d) Rs 270
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