SSC CGL Tier-2 20-February-2018 Maths
For the following questions answer them individually
The radius of base of solid cone is 9 cm and its height is 21 cm. It cut into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7 cm and 14 cm from the base respectively. What is the ratio of curved surface areas of top, middle and bottom parts respectively?
A right circular cylinder has height as 18 cm and radius as 7 cm. The cylinder is cut in three equal parts (by 2 cuts parallel to base). What is the percentage increase in total surface area?
The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?
The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is $$\frac{1}{6^{th}}$$ the radius of the large sphere. What is the sum (in $$cm^2$$) of curved surface areas of all small spheres?
A hemisphere is kept on top of a cube. Its front view is shown in the given figure. The total height of the figure is 21 cm. The ratio of curved surface area of hemisphere and total surface area of cube is 11 : 42. What is the total volume (in $$cm^3$$) of figure?
A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in $$cm^2$$) of each part?
A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere?
What is the value of $$\frac{\left[\sin (y - z) + \sin (y + z) + 2 \sin y\right]}{\left[\sin (x - z) + \sin (x + z) + 2 \sin x\right]}$$?
What is the value of $$\left\{\frac{[\sin (x + y) - 2 \sin x + \sin (x - y)]}{[\cos (x - y) + \cos (x + y) - 2 \cos x]}\right\} \times \left[\frac{(\sin 10x - \sin 8x)}{(\cos 10x + \cos 8x)}\right]$$?
What is the value ofÂ
$$[\sin (90$$° - $$10\theta) - \cos (p - 6\theta)]/[\cos (\frac{p}{2} - 10\theta) - \sin (p - 6\theta)]$$?
