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Four girls P, Q, R and S are studying languages in a University. P is learning French and Dutch. Q is learning Chinese and Japanese. R is learning Spanish and French. S is learning Dutch and Japanese. Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutch is easier than Japanese, and Spanish is easier than French. Based on the above information, which girl is learning the most difficult pair of languages?
Curved surface area of Cone P is seven times the curved surface area of Cone Q. Slant height of Cone Q is seven times the slant height of Cone P. What will be the ratio of the area of the base of Cone P to the area of the base of Cone Q?
A right circular cone of circular base radius R and H resting on a plane. The cone is cut by a plane parallel to the base. The new circular cone-formed has a 12.5% volume of the older cone. What is the height of the new cone?
What will be the volume of the shape formed by carving out a right circular cone from a hemisphere of radius R cm, such that the volume of the cone is maximum and the base of the hemisphere is the base of the cone. I. Volume of the cone is 9π cm3.  II. Ratio of the total surface area of the cone to the hemisphere is (√2 + 1) : 3.
 The following question has two statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.  The height of a right circular cone is ‘h’ and radius is ‘r’. A small cone is cut-off at the top by a plane parallel to the base. At what height above the base, the section has been made? I) Height of cone (h) = 40 cm II) Volume of smaller cone ∶ volume of larger cone = 1 ∶ 30
From a large cone of volume 600 cm3, a small cone is cut whose height is 70% of the height of the large cone. If the radius of the small cone is 50% of the radius of the large cone, then find the volume of the remaining part left after cutting the small cone.
The sum and difference of the slant height and height of cone A are in the ratio 3 ∶ 1, while the sum and difference of the slant height and height of cone Y are in the ratio 5 ∶ 1. If the volume of cone A is 30% of the volume of cone B, then the height of cone A is what percentage of the height of cone B.
If the radius of the base of a cone is doubled, and the volume of the new cone is three times the volume of the original cone, then what will be the ratio of the height of the original cone to that of the new cone?
The diameter of a right circular cone is 14 metres and the cost of colouring its total surface area at the rate of 14 paisa per square metre is Rs. 58.52. From the given statement which of the following can be determined? A. Curved surface area of the cone B. Total surface area of the cone C. Volume of the cone D. Slant height of the cone
The diameter of a right circular cone is 14 metres and the cost of colouring its total surface area @14 P per square metre is Rs. 58.52. From the given statement which of the following can be determined? A. Curved surface area of the cone B. Total surface area of the cone C. Volume of the cone D. Slant height of the cone