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# Mensuration Questions for IB (ACIO) 2017

Dear students,  Here we are providing 15 questions from Mensuration. Practice more and Fulfill all your dreams of getting a government job. Best of luck.

Q1. In a rectangle the ratio of the length to its breadth is 3 : 2. If each of the length and breadth is increased by 1 m their ratio becomes 10 : 7. The area of the original rectangle in m² is?
(a) 256
(b) 150
(c) 280
(d) None of these

Q2. The perimeter of a rectangular field is 160 m and the difference between its two adjacent sides is 48 m. The sides of the square field whose area is equal to this rectangular field is?

(a) 32 m
(b) 8 m
(c) 4 m
(d) 16 m
Q3. 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
Q4. 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
Q5. 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

Q6. 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

Q7. 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

Q8. A man covers the diagonal of a rectangular field in 15 second by walking with the speed of the 52 meter per minute. Another man covers the field in the same time walking along its sides with the speed of 68 m per minute. The area of the field is?
(a) 30 m²
(b) 40 m²
(c) 50 m²
(d) 60 m²
Q9. Four horses are tethered each at four different corners of a square grass field with side measuring 63 m, in such a way that they don’t reach to one another completely. The area of the field not grazed by the horses is?
(a) 675.5 m²
(b) 780.6 m²
(c) 758.8 m²
(d) 850.5 m²
Q10. The radii of two right circular cylinders are in the ratio 2 : 3. Their heights are in the ratio 5 : 4. The ratio of their curved surface areas is?
(a) 5 : 6
(b) 3 : 4
(c) 4 : 5
(d) 2 : 3
Q11. A hall is 15 m long and 12 m wide. If the sum of the areas of its floor and roof is equal to the sum of the areas of its four walls, what will be the volume (in cubic meter) of this hall?
(a) 720
(b) 900
(c) 1200
(d) 1800
Q12. A toy is in the form of a cone surmounted on a hemisphere. The radius of hemisphere and the cone is 3 cm each, height of the conical part of the toy is 4 cm. The total surface area of the toy is ?
(a) 75.43 cm²
(b) 103.71 cm²
(c) 85.35 cm²
(d) 120.71 cm²

Q13. A spherical ball of lead whose radius is 10 cm long is melted and cast into smaller balls whose radius is 5 mm. Thus the possible no. of balls are?
(a) 8000
(b) 400
(c) 800
(d) 125
Q14. A solid cone whose volume is 27π cm³ is placed in a cylinder whose base and height is same as that of the cone. What will be the volume of water required for filling the gap between the cone and the cylinder?
(a) 3π cm³
(b) 18π cm³
(c) 54π cm³
(d) 81π cm³
Q15. The base of a right prism is a trapezium whose parallel sides are 8 cm and 14 cm long and the distance between them in 8 cm. If the volume of the prism is 1056 cm³,its height is?
(a) 44 cm
(b) 16.5 cm
(c) 12 cm
(d) 10.56 cm

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