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If b denotes the face width and L denotes the cone distance for a bevel gear, then the bevel factor is written as
6 faces of a cube is painted with different colour. Red face is opposite to the black face. The face adjacent to the bottom face is white. Brown face is adjacent to blue face. Red face is at the bottom. Which face will be on exactly opposite to the brown face.
Consider the following statements: The axis of spiral bevel gear are non-parallel and intersecting. 1) The most common pressure angle for spiral bevel gear is 20° 2) The most common spiral angle for spiral bevel gear is 35. 3) Spirals bevel gears are generally interchangeable. 4) Spirals are noisy and recommended for low speeds of 10 m /s. Which of the above statements are correct?
A, B, C, D, E and F are six girls who use 6 different face wash – Pond’s, Lakme, Lotus, Garnier, Himalaya and Kaya (but not necessarily in the same order). They also like six different colours – Red, Blue, Brown, Peach, Black and White (also not necessarily in the same order. A and C do not like a Red colour. The girl who uses Lakme face wash likes Peach colour. The girl who likes White colour does not use Kaya nor Lotus face wash. B neither likes Peach nor Red colour. D does not like a Blue colour but uses a Lotus face wash. The girl who uses Pond’s face wash likes Red colour. C does not use Lakme face wash nor likes white colour. F neither uses Himalaya nor Kaya face wash but likes Brown colour. Who does use Himalaya’s face wash?
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.
The face width of the bevel gear is 0.3 times the radius of pitch cone. Here the bevel factor must be
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.
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 cone of maximum volume is cut from the cube of total surface area 2646 cm2 is such a way that one face of the cube becomes base of the cone and vertex of the cone touches opposite face of cube, then what will be the volume of remaining volume of cube after cutting the cone from it?
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.