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Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
The side of a triangular field are 32 m, 60 m and 68 m. The area of this field is equal to the area of a rectangular field whose sides are in the ratio 15 : 4. What is the longer side of the rectangular field?
The area of a triangular field whose sides are 96 m, 110 m and 146 m is equal to the area of a rectangular park whose sides are in the ratio 10 ∶ 11. The length of the longer side of the park is:
Which of the following statement(s) given below is / are TRUE? A: Cost of fencing a park in the shape of rhombus at the rate of Rs. 24 / m is Rs. 720 if area of park is 96 cm2 and ratio of diagonals of the park is 3 : 4. B: Length of perpendicular from a vertex of an equilateral triangle to opposite side is 6√3 cm of area of triangle is 36√3 cm2. C: Perimeter of an equilateral triangle of area 49√3 cm2 is 42 cm.
Inside an equilateral triangular park, a circular flower bed of maximum possible area is made, and circumference of flower bed is 66 m. Which of the following given statement(s) is / are TRUE? A: Cost of gardening the flower bed at the rate of Rs. 12 / m2 is Rs. 2772. B: Length of each side of triangular park is 21√3 m. C: Area of the flower bed is 231 m2.
The area of a triangular field whose sides are 65 m 72 m, and 97 m is equal to the area of a rectangular park whose sides are in the ratio of 5 ∶ 13. What is the perimeter (in m ) of the rectangular park?
The area of a triangular field whose sides are 96m, 110m, and 146 m is equal to the area of a rectangular park whose sides are in the ratio 3 ∶ 2. What is the perimeter (in m) of the rectangular park?
Which of the following is/are not true for a triangular pyramid? (a) Triangular pyramid has six faces. (b) Triangular pyramid has four vertices. (c) Triangular pyramid has six edges. (d) The sum of the number of faces, vertices and edges of a triangular pyramid is 14. (e) Triangular pyramid is also known as a tetrahedron.