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A man finds the angle of elevation of a cliff to be 45°. When he goes 2 km towards the cliff on an inclined path making an angle of 30° with horizontal, the angle of elevation of the cliff becomes 60°. The height of the cliff is:
There are two huts of two brothers each on the opposites sides of a medium sized pond. Each brother has to use 12 stones in the pond to visit each other’s hut by crossing the pond. These stones are numbered serially using numbers one to twelve. A dragon fly is jumping on these stones as follows; every minute it jumps to the fifth stone from where it started. Thus if it jumps from the fourth stone it would go to the ninth stone, from the ninth stone it would go to the second stone and so on. Select the option that indicates the number of stones on which this dragon fly would be resting if it stops jumping at the 36th minute if it starts jumping from the stone that is numbered two.
129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of a cliff is 30°. The height of this cliff is
H উচ্চতায় অবস্থিত একটি বেলুন থেকে একটি পাথর ছেড়ে দিলে তা । উচ্চতায় অবস্থিত একটি হেলানো তনের উপর আছড়ে পড়ে। হেলানো শুলকে আঘাতের পর পাথরটির বেগ আনুভূমিক হয়। h/H এর মান কত হলে পাথরটি ভূমিকে স্পর্শ করতে সর্বোচ্চ সময় নিবে? (A stone falls from a balloon at a height of H above the ground and hits an inclined plane in its path at a height of h. After impact, the velocity of the stone becomes horizontal. What should be the value of hill so that the stone will take maximum time to reach the ground?)
A pyramid having square base of side 16 cm is cut horizontally at some height. The frustum thus formed has the volume equal to 834 cm3. If the side of square base of upper surface of the frustum is 7 cm, the height at which the cut was made is 6 cm from the base, then find the total height of the original pyramid.
27°C তাপমাত্রায় একটি গ্যাসের বর্গমূল গড় বর্ণবেগ a msec-1 হলে 927°C তাপমাত্রায় তার বর্গমূল গড় বর্গবেগ (msec-1) কত?
Calculate the value of safety factor using the data: tc=12 msec, tq=6 msec.
The average of the height of the 20 employee of the company is 1.5 m.In the month of June, two employees named Rita and Sumit left the company whose height are 1.4 m and 1.6 m respectively. In August, two more people left the company whose average of height is 1.7 m and one person join the company whose height is 87.5% of height of Sumit. Before the December, more four people left the company whose height are 1.3 m, 1.1 m, 1.32 m and 1.25 m respectively and more 5 people join the company whose height are 1.26 m, 1.18 m, 1.39 m and 1.4 m respectively. The average of height in the month of September is ….
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: There is a square field of side 4 meter. A flower bed is to be prepared in its centre, leaving a gravelled path of uniform length around the flowerbed. The cost of preparing the flowerbed and gravelling the path is Rs. 100 and Rs. 200 per square meter respectively. If the total cost is Rs. 1756 then find the double of  width of gravelled path. Quantity 2: The height of a cone is 45 cm. A small cone is cut from it parallel to the base. If the ratio of volume of small cone and the remaining part is 8 : 19 then what is the height from the base from where the cone was cut? Quantity 3: A cylindrical container of radius 60 cm and height 150 cm is filled with ice cream. 10 cones of equal volume need to be prepared from the whole ice-cream. These cones has hemispherical top and the height of the conical portion is 4 times the radius of hemisphere. Find radius of the hemisphere. 
“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.