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25 Questions

1. Area of a rectangle is 96 square metre. When the length of the same rectangle is increased by 6 metres and the breadth is decreased by 3 metres - then the area of the rectangle decreases by 30 square metres. What is the perimeter of a square whose sides are equal to the length of rectangle?
2. An equilateral triangle and a regular hexagon have equal perimeters. If the area of the triangle is 2 cm square - then the area of the hexagon is
3. What would be the cost of building a fence around a square plot with area 462.25 sq. ft. at the rate of Rs.34 per foot ?
4. Suface area of a cuboid is 22 cm square and the sum of the length of all its edges is 24 cm. Length of each diagonal of the cuboid (in cm) is
5. The circumference of a circle is equal to the side of a square whose area measures 407044 sq. cm. What is the area of the circle?
6. A rectangular carpet has an area of 120sq. metres and a perimeter of 46 metres. The length of its diagonal(in metres) is :
7. The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle if its perimeter is 668 cm ?
8. The area of a square is 1444 square metre. The breadth of a rectangle is 1/4th of the side of the square and the length of the rectangle is thrice the breadth. What is the difference between the area of the square and the area of the rectangle?
9. The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 7803 sq. metre - what Is the breadth of the rectangular plot ?
10. A solid is in the form of a right circular cylinder with hemispherical ends. The total length of the solid is 35 cm. The diameter of the cylinder is 1/4 of its height. The surface area of the solid is (take pie = 22/7)
11. The perimeter of a circular and a square field are equal- What is. the diameter of the circular field - - if the area of the square field is 484 metre2?
12. For a sphere of radius 10 cm - the numerical value of the surface area is how many per cent of the numerical value of its volume?
13. The length of a rectangular floor is twice its breadth. If Rs. 256 is required to paint the floor at the rate of Rs. 2 per square metre - then what would be the length of floor ?
14. The area of a square is 2.25 cm square. What is its perimeter?
15. The perimeters of a square and a regular hexagon are equal. The ratio of the area of the hexagon to the area of the square is
16. 2 metres broad pathway is to be constructed around a rectangular plot. The area of the plot is 96 sq.m. The cost of construction is 50 per sq. metre. Then find the total cost of production.
17. horse is tethered to a peg with a 14 metre long rope at the corner of a 40 metre long and 24 metre wide rectangular grass-field. What area of the field will the horse graze ?
18. The wheel of a motor car makes 1000 revolutions in moving 440 m. The diameter (in meter) of the wheel is
19. The circumference of a park is 750m. A and B start walking from the same point in the same direction at 6.75 kmph and 4.75 kmph. In what time will they meet each other again?
20. The ratio of length and breadth of a rectangular plot is8 : 5 respectively. If the breadth is 60 metre less than the length - what is the perimeter of the rectangular plot ?
21. The length of a rectangle is three-fifth of the side of a square. The radius of a circle is equal to side of the square. The circumference of the circle is 132 cm. What is the area of the rectangle if the breadth of the rectangle is 8 cm ?
22. Smallest side of a right angled triangle is 8 cm less than the side of a square of perimeter 56 cm. Second largest side of the right angled triangle is 4 cm less than the length of rectangle of area 96 sq. cm. and breadth 8 cm. What is the largest side of the right angled triangle?
23. A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What Is the area of the circle?
24. The ratio of the length and- the breadth of a rectangular plot is 6:5 respectively. If the breadth of the plot is 34 metres less than the length - what is the perimeter of the rectangular plot?'
25. The respective ratio of curved surface area and total surface area of a cylinder is 4 : 5. If the curved surface area of the cylinder is 1232 square cm - what is the height ? (in cm)

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